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Showing posts with label europa universalis 4. Show all posts
Showing posts with label europa universalis 4. Show all posts

Thursday, July 11, 2024

How to build most overpowered custom nations in Europa Universalis IV 1.37


Custom nations have been in the game since El Dorado DLC. When setting up a custom nation, everything costs points, and there are some targets like 200 for a "normal" start, 400 for "easy", and 800 "very easy".

This was always very poorly balanced, and initially custom nations bonuses were weak. But EU4 went through a lot of power creep, and some of the recent custom nations bonuses are really overpowered.

To make OP custom nation, the best way is to make geographically smallest country that's viable, and put all the point in ideas. Viable might mean a single province on most of the map, but for some particularly hostile areas, you might want to make it a bit bigger.

You don't really get 200 points. There's no reason not to take always duchy rank (-10 cost), 0/0/0 age 0 heir (-24 points, will get disinherited immediately), and 0/0/0 consort with irrelevant negative trait like Loose Lips (only -4 points, but might as well take it). You should also take bad trait for your ruler that doesn't matter like Loose Lips (-20% foreign spy detection) or Malevolent (+5% Liberty desire in subjects), but that only gives you -2 points. So your starting budget is 240.

Unfortunately we can't just take 240 points worth of ideas from the menu. There are 10 bonus slots, but slot costs is multiplied by 2.0, 2.0 (two traditions), 2.0, 1.8, 1.6, 1.4, 1.2, 1.0, 1.0 (7 ideas), and 1.0 (ambition). So if we spread idea points evenly, average cost is 1.5x, so we have 16 points to spend per slot to fit our 240 point budget (a bit less as you need at least some land). If you frontload cheap ideas, and end with expensive ideas, you can get a bit better value, but it will obviously make your early game harder.

There's also huge penalty for taking too many levels from the same category. Try to avoid it. Sometimes getting extra levels of ideas makes total cost cheaper! The most broken ideas are in admin or diplo category, so it might be challenging.

You can also increase your budget by taking a negative idea for negative cost:

  • Can NOT declare war for -100
  • Can NOT build buildings for -40
  • Can NOT send merchants for -40
  • Can NOT build over force limit for -25
  • Can NOT establish colonies for -10
  • Can NOT send missionaries for -10

You should always stick these in your 2.0x slot. The alternative of sticking them in your ambition and never taking 3 full idea groups is honestly not worth it. Of these, the only one I'd really consider is the force limit ban. Colonies/missionaries are not worth many points, and the rest are too harmful to you. Sticking a ban on building over force limit as your first tradition gives you 50 more points, and it won't even apply very early game when you're most likely to do this.

Custom nations can form other nations. This is the only way to get new mission trees, some with a lot of overpowered bonuses as mission rewards. But even if you form a new nation, you can't change ideas you originally selected.

Anyway, let's get to the completely broken ideas.

Overpowered Economic Ideas

For 60 points you get flat +2 goods produced. That's equivalent to 10 dev per province, including gold mines. None of the other economic modifier are even in the same ballpark. If your average province is 3/3/3, it will get +333% production income, +333% trade value (it goes into trade node, so you still need to capture it), I have no idea what they've been thinking. For comparison with some pre power creep modifiers, 18 points gets you 20% production efficiency, and 30 points gets you 20% trade efficiency. If you don't have points budget for it, you can get +0.5, +1, or +1.5 for proportionally less points.

Overpowered Military Ideas

Military bonuses are mostly either crap or really overcosted. The game wants you to pay 18 points for crap like -20% recruitment speed. Or for something more ridiculous, +2 leader fire or shock costs ridiculous 140 points, not even remotely worth the cost.

There are just two military ideas worth looking into. The less broken one is Triple manpower increase in religious wars for 50 points, which is basically triple manpower always, as you can always find some infidel OPM to "fight".

The second one that's even better are +1 Infantry Fire and +1 Infantry Shock for 25 points each. These are completely unrelated to unit pip stuff. It's just ridiculous early game. Normally fire and shock of military units depends on tech, and at tech 3, infantry has total of 0.85. If you got both bonuses in your traditions, your infantry will be doing 2.85x damage instead, or +225% more damage. It just melts enemies.

This is somewhat balanced by two things. As game progresses, base shock and fire values for all units increase, so by the end of tech tree, infantry has 5.25 total, or 7.25 with both bonuses, which is respectable but less ground breaking +38% increase. A much bigger factor is that your army composition changes from all infantry to half infantry half artillery, and artillery doesn't get any bonus. By end of the game backrow artillery deals a bit less damage than front row infantry (fire + shock is 8.95, but only half of that counts for backrow units; disregarding pip differences), so this bonus is worth about +20% more damage by 1821. Not game-chaging by then, but still respectable.

Due to the way combat math works with fire and shock phases switching back and forth every five days, both bonuses are almost equivalent, except fire phase happens first, so Infantry Fire +1 is a bit superior to Infantry Shock +1. This is disregarding pip distribution and such, but they don't really change much. Obviously if you use this build, delete all your cavalry.

The obvious question is about doing it for cavalry and artillery. It's mostly just worse, but worse version of ridiculously overpowered is still pretty good.

It's a flat bonus per unit, so for cavalry you'd get same extra damage for 2.5x as much unit upkeep. This only makes sense if you build all cavalry armies (and eventually cavalry + artillery armies). If you mix cavalry with infantry you're watering down your bonuses even more. And penalties for too much cavalry are so high, that there's no way taking cavalry fire and shock without 100%+ cavalry to infantry ratio is a good idea. Base is 50% and you can take cavalry to infantry ratio bonuses in custom ideas (+60% for 18 points), and you and get some from religion (+25% pure Tengri, +10% Sunni) and various government reforms like Steppe Horde. It's mostly a weaker version of infantry bonuses, but it's still strong, going from +200% at tech 3 to +33% at 1821 all-cavalry army, or +19% for 1821 cavalry/artillery army.

Artillery bonuses are noticeably worse. Because artillery is normally in the backrow, you'll only be getting half the bonus, so it gets +0% for early game armies, by midgame if you switch to half inf/half art armies at tech 16 it peaks at +28% (infantry bonus would be +56% at this point), and only +10% by 1821.

There's one exception to this. If you build your armies with just artillery, with no infantry, and no cavalry, the bonus will be +190% damage at tech 7, gradually falling to +22% in 1821. But your artillery will also take double damage. It's a bit of a meme build, but these ideas make it sort of viable.

And yes, for both cavalry and artillery, +1 fire and +1 shock are pretty much the same thing.

Overpowered Province Warscore Cost

Province Warscore Cost is a modifier that's fairly mid when you have a bit of it, but stupidly overpowered when you stack it near -90% cap. It turns out custom nations let you do this stacking really easily. 25 points will get you -25% province warscore cost, 18 points will get you -25% province warscore cost against other religions, and then you can take Diplomatic (very decent idea group) for -20% more, having -50% discount in 1444, and -70% discount as early as 1460s. At this point you really want to keep stacking it, and Age of Reformation gives you −25% more against other religion, already taking you over the cap. Other good sources are Malta monuments that go to -15%, and Mecca monuments that go to -10% but only for Muslims. You could also get −10% for military hegemony.

AIs will be giving you land practically for free, but you still need to get your AE and OE management game. This build relies on your religion being different, so picking Catholic or Sunni is notable counter-production. There's no real reason to pick Sunni anyway, Shia and Ibadi are mechanically almost identical to Sunni, and picking either gets you access to Mecca monument, so it's a great build.

Switching from Catholic to another Christian religion is more costly, as Catholic is by far the strongest Christian denomination since Emperor DLC (usually whoever got the most recent DLC is the strongest). Christian Europe is also a relatively poor way for going ham on province warscore cost, as you'd be facing coalition of the whole continent in no time. But even with these issues, it's still not a bad build. You'll be getting up to -90% against other religions (Council of Trent provides the last −10%, if they vote right) and -45% against other Catholics (-25% custom ideas, -20% from diplomatic ideas).

Overpowered Monarch Point Savings

All Power Cost. You can get literally -10% all power costs for 60 points. By midgame you'll be making about 13 points per month of each kind (3 base, 1 power projection, 5 advisor, and thanks to disinheritance and abdication monarchs average 11-12 points so that's about 4 of each type), so that's about 45 monarch points saved every year.

Administrative Efficiency. 10% costs 60 points. It's best if you stack it, unfortunately you'll need to wait for Age of Absolutism to start really stacking it. Until then you can get 5% more from Alhambra monument, and some more from mission trees.

Administrative Honorable Mentions

-20% coring cost reduction for 30 points. This would have been a top tier idea, but power creep went so far it's merely an honorable mention now. CCR is obviously good, and it's even better if you stack it, so take administrative ideas for −25%, and then you can squeeze the last percentages from your religions (Hindu can get the most -10% for Shiva plus another -10% for Kashi Vishwanath Temple monument) and mission rewards.

+1 colonist for 30 points. The first colonist is far more valuable than additional colonists, and you can get one for really cheap. This used to be somewhat limited, as you had to wait for maps, but nowadays if you have a colonist, you can get free explorer from your estates and do exploring, so that problem is completely gone. It depends on your location, but you can get far ahead on colonization if you put this in your traditions. On the other hand starting too early you might struggle with colonial range.

+20% goods produced for 30 points. This is decent economic modifier, and it becomes a lot more valuable once you get manufactories going everywhere. It's nowhere near as good as flat goods produced - if average province is 3/3/3 (0.6 goods produced), +20% bonus gives you +0.12 early game, and +0.32 after manufactories, while flat +1 for the same price gives you +1. You can stack percentile bonus and also flat bonus, and you'll run out of things to spend money on halfway through the game.

-20% minimum autonomy in territories for 18 points. This also applies to trade companies, but you can stack it with -20% from economic hegemon, -10% from expansion ideas, typically -10% from government reforms, for trade company autonomy cap of just 30%, or 7x the manpower and tax you'd be getting normally. You could get it even lower with Hindu or Confucian monuments.

+40% Governing capacity modifier for 30 points. You can normally keep up with governing capacity with technologies, estates, and buildings even when expanding rapidly, but bonus you can get here is surprisingly large. The most any normal nation gets is +15%, and even that is rare.

Diplomatic Honorable Mentions

-20% Aggressive expansion impact for 30 points. Not quite as good as −25% that Ryukyu gets in base game. This modifier is best when you stack it, so definitely take Espionage ideas for -20%. It's mediocre normally, but it's really useful for this build. Age of Discovery has ability for -10%. Maxed out prestige is another -10%. The Grand Palace of Bangkok monument is -10%. Many religions can top it off. Orthodox can get -10% from icon, Muslims can get -10% from Hanbali scholar, Hindu can ge -5% from Shiva deity and -10% more from Kashi Vishwanath Temple monument. Catholics can get -10% from a bull, and -20% from curia control, but you can't count on consistently having either.

-20% diplomatic annexation cost for 30 points. This is best if you stack it. You'll need to take Influence ideas for −25%. Estate privilege Nobility Integration Policy gives you -5%. Influence-Administrative policy gives another -15%, and you're probably taking Administrative anyway, so that's already -65%. Pushing it further is harder. Influence-Quality policy is extra -10% but Quality is a weak idea group you probably wouldn't want normally. Curia controller is −10%, but that's not reliable. Parliament can have an issue for -15% if you have two or more annexable subjects. Quite a few countries have a discount as mission reward, so if you want to form some nations on the way, that's your best way to reach the -90% cap.

+30 Vassalization Acceptance for 5 points. This is equivalent to 10 whole diplomatic reputation, for this one interaction. This is way better if you stack it, so you should definitely take Espionage for +15 more bonus. You'll probably want Influence for 2 diplomatic reputation (+6 more bonus) and cheaper annexation cost, the game has a lot of other diplomatic reputation bonuses to pick up. Going all into vassalization game leads to a very different gameplay than normal. If you want to try this in Europe, you should consider destroying HRE and getting the pieces as vassals. The main limitation of this is diplomatic relations limit, there's some DLC countries with subjects that don't count towards the limit, there's probably some potential for even more extreme build there.

Military Honorable Mentions

+20% siege ability costs 30 points. Your armies typically spend more time sieging than fighting, and for this reasonable price, you can make them 20% better at it.

+0.5% yearly army professionalism for 10 points. You can get more up to +2% for 40 points, but this is one of the modifiers where stacking is actually not recommended, as once you hit 100%, it won't do anything (except recover faster from slackening). The best thing about max professionalism is +20% siege ability, which is very nice mid-game, but you don't need to rush it. Taking a level or at most two is good use of points.

These seem really powerful, but the cost is just too high.

Siberian Frontier for 200 points. This is a great ability, but it's priced very high, and you want to take it early (in 2x cost slot) so it's really 400 point of your 800 very easy budget. To make it worth the cost you'd need to either start in Americas, or move your capital to Americas. And if you're playing natives, many recently got some speed colonization mechanics anyway.

Immortal ruler trait for 800 point. Immortal 6/6/6 is very tempting, but the cost is too high, so leave it for roleplaying. For 800 points you can get such insane custom ideas, you really won't miss it.

Free Ideas

If you want to fit limited budget of 200 points, you'll need some filler ideas, as you can't take 10 overpowered ideas.

You'll also need to balance your ideas between categories. Weirdly the game checks how many levels you took, not how many points you spent, so level 2 for 3 points and level 2 for 140 points count for the same.

Here are some 0 point ideas suggestion that provide decent value, by category. You can double most of them for 3 or 5 points if you have a few to spare. None of these are game changing, but since it's a free filler, might as well fill it with something useful.

Administrative:

  • +10% governing capacity
  • -5% core creation cost
  • +5% goods produced
  • -5% administrative tech cost
  • -5% minimum autonomy in territories

Diplomatic:

  • -5% aggressive expansion impact
  • -5% diplomatic annexation cost
  • +5% trade efficiency
  • +5% improve relations
  • +15 vassalization acceptance
  • -5% diplomatic tech cost

Military:

  • +5% siege ability
  • +0.5 army tradition
  • +5% infantry combat ability
  • -5% regiment cost
  • -5% military tech cost

Thursday, February 23, 2023

Europa Universalis IV crownland and negative absolutism bug

This bug can really mess up a campaign, but it's pretty much unknown to the community, as it's hiding behind a few layers of obfuscation.

Land shares

The system is conceptually very simple. Every estate, as well as the crown, have some amount of land.

When new land is conquered, it's distributed to everyone proportionally to their influence. For each estate, its influence is displayed directly. For the crown, influence is 60% + absolutism.

So here's an example. You have 200 dev, distributed as:

  • crown 30% - 60dev
  • nobles 35% - 70dev
  • clergy 20% - 40dev
  • burghers 15% - 30dev

Now you conquer 100dev worth of land, it's one of the first two eras, and let's say influence is 60% for clergy, 40% for nobles, and 40% for burghers. New numbers should be:

  • crown - 60dev + 30dev = 90dev = 30% (+0.0%)
  • nobles - 70dev + 20dev = 90dev = 30% (-5.0%)
  • clergy - 40dev + 30dev = 70dev = 23.3% (+3.3%)
  • burghers - 30dev + 20dev = 50dev = 16.6% (+1.6%)

In theory, it's all very straightforward.

It means it's very difficult to have high crownland share before age of absolutism, and countries with more estates have worse crownland situation, but that's just how the system works.

Also in-game tooltip "Crownland can be gained when: Conquer Land when having less than 60% total influence of all Estates" is a complete lie. This isn't even remotely how it works. It is baffling why they put such completely false information in the tooltip, as the real system is very straightforward.

The Bug

Anyway, the bug. Crown influence is 60% + absolutism, so before age of absolutism it should be just 60%. However it is not. The game still keeps track of absolutism in earlier eras, and it can be negative.

If you engage with the estate system, and give away a lot of privileges, you can spend the first two eras at massively negative absolutism, and all the crownland calculations will be broken.

Let's start as Venice - just doing the bare minimum of 3 mana privileges, and Religious Diplomats.

This brings your Max Absolutism to -56.12, so crown influence instead of 60% will be just 3.88%, and you'll get almost zero crownland from conquests.

It gets a lot worse if you get your max absolutism below -60. Then your crown influence becomes negative, and not only the estates get all the newly conquered land, but also whenever you conquer any land, you give them some of your existing lands as well. This is extremely pathological, but for example Venice gets there with just one more privilege.

There's one more complication, as the game recalculates absolutism only if you perform some absolutism affecting action (most commonly changing local autonomy), and the check (vs 0 or vs max absolutism) seems to depend on that action being absolutism increasing or decreasing.

At least you can recover from that if you increase your Max Absolutism, and then do an appropriate absolutism-affecting action, but there's no easy way to see if it worked in the game (in the save game file, it's "absolutism=XXX" line).

If you're at war, and choose peace terms that would gain you some land, you can see land share changes in the tooltip, and from it you can see if it's broken or not.

Play workaround

If you play a monarchy, and don't grant many privileges, you probably won't be affected, as your Max Absolutism should remain positive.

If you play a republic (planning to go monarchy before age of absolutism), or grant a lot of privileges (planning to revoke them before age of absolutism), this will mess up your game due to the bug. If you do both, it will mess up your game even worse due to negative crownland influence.

So the best way to play is by being extremely careful with Max Absolutism. You can view it in Government tab, in Country Modifiers. It's fine if it's just +0, as long as it never goes negative.

The obvious strategy of "just give all privileges on game start, then conquer something to regain crownland" only works for monarchies. If you try it as a republic (or as a monarchy that granted a lot of privileges) you'll get nothing out of it. And if you get to negative crown influence, you won't be able to even recover by seizing land, as every conquest will mean crownland giveaway.

If you go negative Max Absolutism for a while, but then recover (either to positive, or to less negative value), you'll need to do some kind of recovery by absolutism-affecting action. If you're at risk, verify in peace deal tooltip that land share changes are what they should be.

Mod workaround

Mods can work around this issue by giving all countries +1000% max absolutism in the first two ages with a triggered modifier. This was Max Absolutism will never be negative, until you get to the age where it matters. This way players can play the game normally as if the bug wasn't there, and it won't affect anything else.

I didn't test if the bug is still there in the last two ages, but usually at that point you'd try to have high Max Absolutism anyway.

What Paradox should do

They should make negative absolutism impossible, and that would fix the whole issue.

Sunday, February 19, 2023

How to fix Europa Universalis IV late game problem

This is not a rant post, this is a solutions post. However before discussing the potential solutions, it is important to understand the problem well first.

Late Game Problem

In theory, Europa Universalis IV covers the time period from 1444 to 1821. However, in practice, most players never reach 1821 or simply speed-5 through the late game for the achievement (which is easily attainable, but only 9.4% of players have earned it, due to tedium).

This raises two questions:

  • Why don't players continue to play until the end date?
  • Why don't players simply start the game in a mid/late game bookmark?

Neither of these is inevitable for a grand strategy game. For a contrast I'll be coming to a lot, Crusader Kings 2 has neither of these problems. It can be started at a variety of dates, with 4 official start dates (769, 867, 936, 1066), and a lot of later start dates that are all quite good, and full of different interesting characters.

And while "playing to win" would make a Crusader Kings 2 fairly easy in late game, the game nudges you to embrace "roleplaying". There's a lot of things to do other than expanding, and especially if you're a less experienced player, holding on to what you conquered is a very nontrivial matter, so your realm will ebb and flow naturally.

So let's first explore these two questions, and then look into some potential solutions.

Why don't players continue to play until the end date?

Europa Universalis IV is a game about a country expanding and becoming stronger. When a player's country is weak, expanding can be a challenge. But once a player conquers some land, it's done. There is no ongoing challenge in holding onto lands that have been incorporated into the player's realm and the resources they provide.

Expanding comes with many challenges, such as:

  • getting better casus belli
  • improving your diplomatic position
  • declaring wars where your allies join while enemy's allies don't
  • winning wars
  • getting best peace deals
  • managing aggressive expansion
  • preventing coalitions
  • managing truce timers
  • managing overextension
  • getting the necessary mana for peace deals and coring
  • dealing with one or two waves of nationalist rebels
  • converting conquered lands
  • reducing autonomy in conquered lands
  • managing governing capacity
  • building necessary buildings in conquered lands (since the AI is awful at it, no matter how many times patch notes claim to have fixed it)

Once the player conquers a province without triggering a coalition, cores it, reduces its autonomy, and either converts it or accepts its infidel ways, it's done. It will never cause any problems.

This isn't the only design option available. In Crusader Kings 2, each conquered province beyond your small domain is controlled by a vassal and then their heirs. These vassals could still cause trouble, even if their grandfathers were loyal to your grandfather. This is particularly true during succession. There are many tools available to help manage this issue (and it maybe got too easy in late CK2 patches, early-version CK2 and early-version CK3 are both harder for a less experienced player), but it remains a real concern. Just try it yourself - load up a saved game of your Restored Roman Empire in observe mode and you'll likely see that the empire won't survive two AI successions. In a similar scenario in EU4, however, the AI wouldn't lose a single province.

Returning to Europa Universalis IV, the main objective of the game is to increase your power, mainly through territorial expansion. This leads to a situation where the player becomes more and more dominant at a pace that is much faster than what the AI can match. As a result, the game's challenge level decreases over time. EU4 does offer a few alternative means of increasing strength, such as reducing autonomy, converting conquered territories, constructing buildings and monuments, boosting development, and increasing crown land. However, these methods also result in the player's rapid growth and superiority over the AI.

How EU4 Attempts to Address the Issue of Easiness

The most straightforward approach to addressing the issue of a game being too easy is to increase its difficulty. Europa Universalis 4 has multiple systems in place to do this.

The main one is choosing a more or less difficult starting country, with some countries providing a lot more challenging start than others. Players can also set specific goals for their campaign, along with restrictions such as no restarting or no loans. Although the goals are mostly centered around expanding and becoming stronger, some paths to achieving these goals are more challenging than others. Now this isn't Crusader Kings 2 where goals like filling the entire College of Cardinals with horses or collecting every major religious artifact are legitimate campaign ideas. Pretty much all the potential goals in Europa Universalis 4 involve expanding and getting stronger, some routes are just more difficult than others.

And finally there's the very poorly implemented difficulty slider. Most people play on Normal, where the same rules apply to players and AI, except for a few small AI cheats and hardcoded bonuses for lucky nations. Hard difficulty gives AI nations minor bonuses, and Very Hard gives them much fairly big bonuses.

However, all these systems get it completely backwards. Choosing a difficult starting country or playing on Very Hard can indeed make the early game challenging, but as the campaign progresses, the difficulty drops significantly with each passing decade. For example, playing as a no-ally Hisn Kayfa on Very Hard might be challenging in the early game, but once the player has survived and won a few wars, there will be no more significant challenge left in the game, and a player skilled enough to do so might just as well quit by 1500.

Finally, the game also tries to address the issue by railroading certain AI countries to expand quickly, with a long list of bonuses, including the lucky nations bonus. This does have an impact, but it leads to repetitive and boring mid-games, such as the inevitable Otto-Blob end-game boss. After encountering the same predictable outcome repeatedly, most players learn standard counters, such as the "Ally Austria and Poland No-CB Byzantium" opening.

Could holding to what you have be a challenge?

I don't think there is any way to make holding onto what you already possess be a significant challenge.

I tried many such experiments. For example, I tried to massively increase unrest to see if rebels would achieve anything, only to discover that leads nowhere.

Using the formulas from the game's wiki, let's consider a country with 10 provinces of +1 unrest each. After 100 years, it can expect around 5 rebellions, which is a minor annoyance.

So what happens if we increase the unrest level to an unrealistic +50? The number of rebellions per 100 years only increases to 9, and individual rebellions wouldn't even be any stronger. This is mainly due to "Recent Uprising: −100 unrest for 10 years modifier", which trivializes the whole system by hard capping rebellion frequency regardless of unrest.

But it's not even the only factor. Without Recent Uprising modifier, rebellion counts would be 10 per century and 90 per century respectively, that is 50x unrest translating to 9x rebellions. The formulas themselves are still nonlinear, with rebellions needing 10 monthly ticks to happen, and tick chance is capped at 75% per month, so even nearly infinite unrest translates to less that one rebellion per year without Recent Uprisings, or to one rebellion per 11 years with Recent Uprisings.

The only other consequence of all that extra unrest is longer recruitment time. Somehow unrest in provinces doesn't carry any other penalties. You still get as much money, manpower, and everything else from a rebellious province as one where peasants fully love you.

That's not to say EU4 rebellions are never a problem. Most notably going over 100% overextension directly affects rebellion formulas, resulting in much stronger rebellions. Heavily scripted event chains like Ming Crisis or Dutch Revolt can also cause a lot of problems, at least for the AI or for a player not aware of easy ways out they usually have. And due to the way rebellion formulas scale, rebellions can be really deadly for tiny countries, especially for Japanese daimyos, as even a small rebellion can be bigger than their whole national army.

For most countries, as long as they stay under 100% overextension, rebellions are so insignificant they might just as well not be in the game.

Other ways to delay the inevitable late game easiness

If you really wanted to make the late game difficult, there are a few more options available through mods.

You could slow down expansion. The game already throws so many obstacles to expanding, why not just tweak some numbers? Increase AE, increase coring costs and time, increase province warscore cost, and so on. Weirdly a lot of players do it to themselves already by taking terrible idea groups, but a mod could do a lot more.

This somewhat delays the point at which the game becomes trivial, but there's very little to do in EU4 other than expanding, so you won't actually play longer, you'll just play at higher speed while waiting for various timers. If these same nerfs fairly apply to the AI as well, it won't even be all that effective at making the game more challenging.

In older patches it was possible to make expansion a lot more challenging by increasing number of diplomatic relations. The easiest way to become stronger is by seizing land from a weak country with no or only weak allies. Giving everyone a few more diplomatic relations slots makes it far more likely that someone strong would come to defend your potential victim. However, in recent patches allies are so good offensively I don't think this is even helpful.

Another thing to try is allowing conquest but reducing rewards from conquest by nerfing blobs. Paradox recently tried that with governing capacity system and 90% minimum autonomy in territories, but for most countries governing capacity limit is very generous. With trade companies being nearly as good as states, and courthouses being so cheap to build everywhere, at least with default values it doesn't really work.

One fairly obvious approach I haven't seen attempted yet is to make anti-blob bonus simply increase with time. This could simply be a flat bonus to every country, so small ones would benefit the most. It might start at nothing in 1444, but by 1600 every independent OPM gets +10 force limit, +10000 minimum manpower, and so on. Blobs would get the same bonus, but it would proportionally matter a lot less. This should be very simple to implement, and Extended Timeline already has a kind of era-based bonus system, it's just not used for balancing there. The trigger could be either calendar year or a specific technology.

There are a few additional things to consider - subjects probably shouldn't get this bonus, or get a proportionally lower one, or it would benefit strong countries with subject swarms too much. But tributaries and colonial nations should still get it, as they should be able to fight independent enemies fairly. And perhaps native OPMs shouldn't get such a bonus, or they'd swarm a colonial nation. And so on.

An interesting idea from Crusader Kings 2 (I keep repeating myself, but that's a related game that does so many things right) is giving random tiny countries ridiculous temporary bonuses at random during the game, so you'd have a random regional threat punching far above their size for a while (like IRL Brandenburg). I tried to mod that for EU4, but it really didn't do much, at least for values I tested. I've heard Anbennar does something like that with Great Conquerors, going completely over the top. This probably does more to make the late game unpredictable than difficult as such.

And speaking of Crusader Kings solutions, why not make successions a big event? For how obvious it seems, I couldn't find a single mod that even tries it. You could make successions partly reset diplomacy, reset all rebel timers, and add some modifiers to destabilize the country for the first few years. Right now all you get is one time paper mana tax - I'm not even going to pretend you "lose stability". That was true in EU3 as it took time to recover it, but in EU4 you just press one button and don't spend a single day at lower stability. Depending on how it's implemented, this wouldn't even have to be a nerf. What if it reduced accumulated AE by 25%, removed truce timers etc. as well? It might be worth a hassle of having extra rebels and losing some of your allies. This is all just vague ideas, I haven't done any testing, and a lot of CK2-style effects would be difficult to script in EU4's more limited scripting system. If someone wants to try, I think this idea has great potential.

Anyway, while there some possibilities here, I think the other path is a lot more promising.

Why don't players simply start the game in a mid/late game bookmark?

First, there's lack of flavor. In a game like Crusader Kings 2, every start date has different characters, and many historical dynasties are only available some of the time. In Europa Universalis IV countries are mostly the same, even if their borders change. And if a player would like to play a country that didn't exist in 1444 like Prussia, Persia, Spain, or Commonwealth, it's usually possible to form it, and at least for historical countries, formation is usually very easy.

There are some rare exceptions which would be too difficult or take too long to form, like Qing, United States, or Revolutionary France, and occasionally a player might want to play a specific ruler, but it's a very small factor.

So most players would only play late game starts if gameplay was good. So is it?

What mostly works

There are several things in the game that work fairly well, such as province ownership and rulers. Diplomatic relations are also in good shape, although some countries have too many subjects, causing negative diplomatic power gain, but this is only a minor issue.

The cultures and religions are setup reasonably well. There are some questionable choices, but the same can be said about the game in 1444.

Technology and institutions work quite well. Europeans have a significant technology advantage over rest of the world. Arguably it works even better than in a regular game.

Previously, Europa Universalis IV had technology groups, which gave Europeans a historically accurate technology advantage over the rest of the world. However, when the system was replaced with institutions, the spread of institutions became too fast and easy, as did developing them. As a result, the technology gap has almost become nonexistent. According to a video analysis by Reman's Paradox, the gap peaks at around 2 technologies with the Printing Press and then quickly drops towards zero after Global Trade. This issue has not changed much since the analysis was made.

Paradox is unwilling to address this issue as there is a conflict of perspectives between players who prefer a historically accurate technology (with a significant gap persisting until the end) and players who want an easy game in the Rest of the World (with a minimal gap). There is no way to satisfy both groups.

In any case, starting late means starting with the technology gaps as they were before institutions were introduced, and this is fine.

Goods prices are correct for every start date. Events that happen at specific time to change goods prices are accounted for.

What doesn't work but it doesn't matter much

Unfortunately that's where the good parts end. There's a lot of minor things that don't work, but to be fair they're not a huge deal.

There are some easily fixable bugs. Quite a few provinces are missing cores. Qing will reverse-form Manchu, as end game tag check does not apply for such starts. A mod that aims to make the late game playable should take the time to fix these issues.

There are also some undesirable, but understandable behaviors. For example, all Holy Roman Empire countries that historically had a ruler of one religion and population of another, flip their religion in the first month of any late start. It is not clear what the best fix would be.

There are other values that normally increase as game progresses - absolutism, mercantilism, and professionalism.

Absolutism is not adjusted by start date, but it's not too difficult to catch up quickly. It would probably be better if late game starts had some nonzero absolutism.

Mercantilism is not adjusted by start date. This means everyone's trade powers is lower than what it's supposed to be, but trade power only matters relative to other countries' trade power, so it doesn't really affect gameplay much.

Professionalism is adjusted by start date, and the adjustment is quite aggressive, 20% per age. Everyone starting at 60% professionalism is definitely not where it would get to naturally, but it will diverge pretty quickly as the game continues.

The game features monuments, many of which were built after 1444. This is completely unsupported. Every start has the same monuments at same level. For example even 1792 Ottomans start with tier-2 Hagia Sophia and tier-0 Sultan Mehmed Mosque in Constantinople. Interestingly the comments in monuments files imply that a feature to make them pre-built in later start was planned, just never implemented. Fortunately monuments are self-correcting. Mid/late game both money and manpower should be relatively abundant, so monument construction can definitely catch up, at least if the economy was setup properly.

HRE reforms and China reforms are not present in any late game start, and that's probably fine.

Some religions are seriously nerfed. Counter-Reformation isn't present in late game starts, and that hurts Catholicism. Orthodox countries start at 0% Patriarch Authority. However, most religions are fine, and Catholic and Orthodox are some of the strongest religions in game, so arguably this is not a big deal.

What doesn't work and messes up gameplay

And now the really awful parts.

Late game scenarios have zero buildings other than forts. This completely destroys any economic balance. In the latest 1792 bookmark, the highest income country is somehow Russia at very meager 150, number not much higher than Ming can get in 1400s. 1792 France spends 54 of its 100 income on fort maintenance alone.

There is almost no trade income. End nodes in 1792 earn 36, 28, and 17 gold respectively, numbers that look low even for 1400s.

But while incomes might look like it's 1444, the expenses do not. A lot of expenses including armies, navies, advisors, forts, and so on, scale with time. So you have worst of both worlds - early game income and late game expenses. With everyone suffering so much, nobody is going to invest in buildings with their very slow return-on-investment time, so the problem will not fix itself.

Lack of buildings affects not just economy, but everything else building provide, like manpower, force limit, governing capacity, and so on.

Government reforms are nonexistent. Even if you start in 1792, you have 0 reforms unlocked. This is quite bad, as there's no way to rush them, and you're normally expected to have a lot of reforms by this time, and quite a few late game features are locked behind government reforms.

There are no estate privileges and every country starts at the same 0% effective crownland as in 1444 - that is about 30% which you all lose by giving away the essentially mandatory mana privileges. This is also quite bad, as crownland is designed to increase slowly.

Countries in late game starts don't get to choose their idea groups - game selects them automatically, and the selections are truly dreadful, with ideas both weak and inappropriate for their countries. You can abandon idea group and pick a new one, but it will only refund 280 of 2800 points. This severely restricts player agency. It would be much better if player was offered a choice of already unlocked idea groups when starting a campaign, or if switching was possible, at least before unpausing.

Can mods fix it?

The most impactful fix would be to add buildings. There is no "historically accurate" way to do this. The most obvious solution would be running a few AI observe games, and just collecting statistics like "by 1650 50% of provinces in Western Europe have Workshops", and adjusting history files accordingly. This wouldn't be anywhere close to what a good player can pull off, but it would at least un-break game economy.

Fixing monuments by events would be fine, but I don't think this is necessary.

For government reforms, there are two solutions. Either give everyone a lot of reform points to spend (in line with what they'd get normally at this point), or increase government reform progress depending on campaign's start date so certain amount of catch up is possible. The downside of this is that a lot of countries can change government type with final reform, so it might lead to a lot of awkward month one flips.

Crownland issue could be solved either by some crownland bonus dependent on start date, or at least by starting with mana privileges, so you start the game in neutral territory. I don't see any obvious way to accelerate crownland gain. For example reducing seize land timer in later starts would be an interesting way to offer catch up, but it seems to be hardcoded.

With idea groups it's obvious what we want - for the player to be able to choose idea groups they start with, and have them already unlocked. But I'm not sure how that would be implemented. We can't even just full refund, as it would go well over mana cap, and it wouldn't be possible to change to idea group from different type this way. There are some messy solutions, most involving making idea groups nearly free before unpausing.

Summary of fixes

A mod to make late game bookmarks playable should attempt to do the following:

  • fix obvious bugs like missing cores
  • add buildings to match what AI would typically build at given time in given location
  • add government reform progress, either upfront, or by faster growth
  • fix crownland, either by increased starting crownland, or by starting with mana privileges
  • figure out some ways to let player choose idea groups

And with this, late game EU4 starts could be quite decent.

Of course someone would now need to make such a mod, and some of these can be quite challenging to do right.

Tuesday, December 20, 2022

Fun and Balance for Europa Universalis IV 1.34

Europa Universalis IV is a good game with a lot of minor issues, and the goal of Fun and Balance is to fix such small issues, to provide a "better vanilla" experience.

I created the mod long time ago, and I've been updating it every major patch. As the game changes, so does the mod, and it's been a while since I last documented the full list of what the mod is doing exactly.

I drop features from the mod a lot - usually problem areas are quite obvious to devs as much as to me, so they tend to get addressed eventually, and then my fixes aren't necessary. Occasionally a fix outlives its usefulness, but I've been trying to clean things up if they're not pulling their weight.

The mod doesn't try to affect game difficulty to a significant degree. It used to be somewhat harder than vanilla, but due to recent changes in favor systems, it's probably about even now.

So here's the full list of changes Fun and Balance makes, with their rationale. This is a fairly long list, with more important ones first.

More diplomatic relations

There are +2 base relationships, from 4 to 6. This is probably the most impactful change, and it used to be +4 before base game started adding a lot of ways to increase your relationships like Strong Duchies estate priviledge, and various monuments.

This generally increases difficulty of expanding. AI is very reluctant to go over its limit, so this change dramatically increases density of AI alliances, and makes expansion harder. Not just because there are now 2 more countries to help your target, denser network of alliances makes it a lot harder to fully isolate multiple targets diplomatically, so expansion and coalition management are both considerably harder.

As allies are a lot more important defensively than offensively, this change is a lot less useful for the player, but it enables having long term small vassals, royal marriages, or guarantees without obsessing over diplomatic slot utilization. A lot of options from the base game were very rarely used because of overly low limit.

In recent patch, with curry favors being arguably overpowered, this is less true. 2 extra allies are worth a lot more offensively than they used to. I think it still makes the game harder overall, but less so than it used to.

All strait bridges removed

Now you'll need transport ships to cross even narrow straits. This makes navies far more important, not something you need just once a game to invade Great Britain.

This surprisingly makest the game a bit harder, as AI is a lot better at dealing with such local transport than with long range invasions. Many scenarios like getting landlocked allies like Austria or Poland to help you fight Ottomans or Denmark, it's not so easy anymore.

I had to leave one, or the game would crash.

Eurocentric Institutions

Institutions were an interesting system, but they completely broke the balance between Europe and Rest of the Old World. They spread far too fast, so tech gap between Europe and India, China, or East Africa is near zero, or even goes the wrong way. That means the whole Old World plays pretty much the same way, and there's no threat of European invasion.

So the following changes have been introduced to slow down institution spread:

  • passive spread of institutions ("neighboing province has X", "friendly neighboring province has X", and "X embraced") between neighboring provinces slowed down by half - but all other spread just like before
  • spread of institutions only happens if previous institution is already present, notably you can't really get Colonialism without getting Renaissance first
  • Colonialism can only start in Europe, you can still get it as non-European from your CNs
  • dev pushing for institutions made 20% less effective - this isn't a huge change, but it prevents Korea or Ming from randomly dev pushing all institions. Realistically dev pushing as soon as possible is still optimal strategy for Rest of the Old World.
  • Harar Jugol tier 1 monument nerfed - it was giving East African every institution for free really early and breaking the system, tiers 2-3 work exactly like before

This delays spread of early/mid game institutions and should increase mid-tier tech gap somewhat, from 1-2 to 3-4. Late game none of the institutions are region-locked, so the tech gap will go away eventually, just more slowly.

The mod also reduces ahead of tech penalty from 10%/year to 1%/year. But notably you'll still be paying penalty for not having relevant institution, even if that institution didn't spawn, so realistically you can get techs 1-2 tech ahead of time.

Between these two changes, Europeans can be scary again. But I've also seen AI Delhi exceed AI Commonwealth's tech levels even with institution penalties, so don't expect return to EU3 style tech gap here.

Religious leagues for all Christian denominations

In vanilla Catholic vs Protestant religious leagues can trigger. The mod adjusts the code so that all Christan denominations can do it. If 4/7 electors follow specific non-Catholic denomination, they can even happen very early, long before the usual time.

In a typical game, Protestant is still the most likely to trigger, with smaller chance of a Reformed league, and very remote chance of a Hussite one. But if you're playig with a custom non-Catholic nations, or specifically trying to spread some other religion like Hussite, Orthodox, Coptic, or Anglican, you can now do it.

More formable countries

Every culture has primary tag, and I made it possible to form most of them, changing your traditions, and missions. Some are not included if there are already obvious regional goals like Bharat, China, Russia etc. AI will also occasionally do this.

There aren't any obviously overpowered choices here, as end game tag formables usually get a lot better traditons and missions than regular countries. You can get a few decet ones, but it's mostly for more roleplaying options.

The "end game tag" check for formable tags is also disabled for the player, but AI playing as end game tag will still not form any other tags.

Disabled anti-player mechanics

EU4 is mostly fair between player and AI, but it has a few baffling mechanics where AI gets to cheat. These are removed.

Naval attrition form being at see, player-only in vanilla, is removed.

Call for Peace, also affecting only the player and never the AI, has no consequences now.

All coutries with capital in Asia can get Mandate of Heaven

This mostly gives additional options to Muslims and Hindus. Or you could go crazy, move Pope's capital to Jerusalem, and make the Pope be Emperor of China as well.

Restore Roman Empire works with subjects

Restore Roman Empire has extremely long list of provinces it needs, and they needed to be held directly, so a random PU could block you from getting it. Changed the decision so you can use it if (non tributary) subject holds them.

Trade map changes

Vanilla trade map makes it impossible for Asian to benefit from New World trade, just to let Europeans get Philippines. While historically it makes some small sense, it almost never happens in real gameplay - Europeans who colonize Asia get trade through Cape or Alexandria not through Mexico. Reversing direction of Pacific trade lets Asians get trade from New World's West Coast.

Casus Belli changes

CBs with locked out peace terms have been fixed to allow them. They're mostly useless or extremely niche, in base game. You'll still pay full cost for any such term, same you would without a CB. The biggest effect on the game is that you can declare war on your rival in December 1444 without waiting for fabricated claims and get some (undiscounted) land.

If both you and your subject have religious ideas, you can get CB on a country that your subject borders, but you don't. This doesn't significantly increase your ability to get CBs, as you could usually get one province to border your target, but it reduces bordergore slightly.

Coalition wargoal is defend capital (like it was in early patches), not win battles. Winning battles wargoal in EU4 has a lot of issues, and normally this is fine, but for coalition wars, you can get to situations where you're winning in every objective way, didn't lose a single battle, but your allies accumulated so many tiny battles lost that it would take you decades to convince the coalition to end war, while they can stab hit you every month. This isn't the most common, but it happened enough times that I decided to change it.

As defender in war you get 50% AE discount, instead of vanilla's 25%. EU4 makes being defender awful, as you don't get any CB discounts, so this brings some balance into it. It's still better to be the attacker generally, as you get your choice of CB, and most give decent discounts.

Maximum amount of gold you can get from a peace deal is doubled from 25% of warscore to 50%. This makes it slightly more worthwhile to get something from war when you don't want to take land. It's still far less than what EU3 or early EU4 allowed.

AI insistence on staying in war due to war being too short reduced by 1/3.

Power projection changes

I'd love to replace rival system completely, so that any Great Power can rival any other Great Power within range. Usually you get very limited choice of rivals beyond very early game. Sadly this is not possible, the rival system is nearly hardcoded.

The mod increases max distance for rival by 1/3, which seems to be the right number to give some flexibility without too many weird rivalries.

Power projection from rival related issues increased somewhat, and decaying more slowly, mostly to avoid nonsensical situations where you're too strong to get any power projection, as game won't let you pick rivals. I'd much rather fix rival selection, but that's not possible to mod.

Subject and opinion changes

Max hard cap of dev for diplovassalizing increased from 100 to 300. You'll still need a lot of factors to get anywhere close to that number.

Opinion penalty for annexing vassals capped at -100. In base game it could build up to ridiculous numbers if one of vassals was impossible to annex for some reason while others kept getting annexed over longer time. It was always possible to reset it to 0 by not annexing vassals for 20 years, but tracking exact date is just awkward as game does not show it anywhere. Capping it improves gameplay.

Supporting independence gives bigger relation boost, can be done from lower starting opinion, and AI doesn't care as much about having too many relations when it can support independence. All this modestly increases independence support.

Colonial Nations now consider their own power (as well as that of their supporters) for liberty desire, but to balance it out gets -25% base liberty desire. In base game supporting independence of a colonial nation does not increase liberty desire at all. This overall makes holding onto colonial nations as a very weak colonizer harder, most commonly Portugal might struggle with it, if it loses its army in war and its rivals support CN's independence. But it's still a modest factor.

Quite a few vastly excessive opinion penalties got reduced to sensible levels.

Unlawful HRE territory is capped at -50 to prevent spam. Violating treaty of Tordesillas is capped at -50.

Pirated us cap changed from -100 to -25. It really made no sense that countries would be more bothered by some minor piracy than by declaring war on them and occupying all their land, and it interfered with diplomacy as AI just loves spamming piracy. Converted our culture penalty cut from -30 to -5 and capped at -100.

More building slots

Building limit increased by +1 base, and from +1 per 10dev to +1 per 5dev.

This was much more aggressive previously, but I toned it down once game made Courthouses not take building slots, effectively giving every province +1 slot.

Extra slots mostly allow a bit more flexibility with buildings, and they benefit smaller richer countries more. Especially AI as it's bad at using its slots well. Big poor countries which can't fill their slots benefit from it the least.

Unlock regional features

The mod lets everyone claim whole areas, not just individual provinces. It was locked to Russia in base game. I originally wanted to make it available at empire tier only, but last time I checked that didn't work without making separate empire versions of every government reform. In any case, this mostly reduces border gore, and saves you a modest amount of diplomatic power early game.

Catholic Holy orders are unlocked so all Catholic can use them, not just Iberians.

Covert actions changes

Covert actions are massively underpowered, so they're buffed across the board.

Stealing maps cost reduced 50 to 20. Infiltrate administration cost 40 to 20. Agitate for liberty cost 90 to 50. Slander merchants cost from 70 to 20.

Agitate for liberty and infiltrate administration unlocked without requiring any tech.

Supporting rebels made significantly cheaper and more effective.

Even with all this aggressive buffs, none of these are particularly strong.

Custom nation tweaks

Max tier of ideas increased from 4 to 10, at costs following the curve, so you'll spend a lot of points on high tiers.

Penalty for max ideas from same group removed, as it's mostly for roleplaying.

Max distance between provinces increased from 400 to 1000, again for roleplaying.

Base monarch skill changed from 2/2/2 to 3/3/3, which is actual average.

Religious rebels changes

Religious rebels increased in priority, so a province with missionary is likely to spawn religious rebels, even if other kinds are also possible. They also always want to convert your country, even Pagan rebels, and province targetting weights changed to be more interested in going after provinces they can convert or provinces with a missionary.

Religious Shift Decision

If your capital has a different religion, you can pay 3 stability to shift to that religion, similar to CK2. AI will not use this.

This is an alternative to the very frustrating experience of hoping that religious rebels will do what you want - but if you can use rebels, that's a way to get free conversions and not lose stability.

Balkan Changes

Europa Universalis IV makes a lot of highly questionable decisions for Balkans, trying to railroad Ottomans as end game boss, at expense of making a lot of things nonsensical. Ottomans do not need any help, they'll be end game boss even if we fix things.

Ahistorical "Byzantium" renamed to "East Rome". It is also primary tag for Greek culture. Concept of "Greece" as a country is an invention from 1800s', Greek-speaking Romans saw themselves as Romans well into EU4's end game. It's also possible to form it as Romania, Ottomans, or HRE, if you're Greek Orthodox.

Turkish moved to its own culture group.

"Carpathian" culture group removed. Slovak moved to West Slavic, as it was really nonsensical that it was a different culture group from Czech. The rest merged with South Slavic into "Balkan" culture group. Notably Greek is still not in it, and I'm wondering if it should (together with two micro-cultures in its group).

Ottoman decision to move capital to Constantinople does not do free culture and religion conversion.

You can declare wars in regency

This was a pointless restriction nobody needs.

Improved bad idea groups

Some idea groups - notably Naval and Maritime - are just awful, so I tried to improve them somewhat.

The mod used to give Naval extra leader slot so it can recruit some admirals, but game changed its mind and increased leader slots to such high numbers you'll never need more, especially not admirals.

It still gives Maritime +1 merchant and +50% light ship trade power. To be honest, it's still so low tier I'm not sure anyone would take it even with the buff.

War Exhaustion changes

In vanilla War Exhaustion is largely just a tax on diplomatic power. The mod changes it so cost to reduce it is doubled if you're at war. Originally I disabled it completely, but sometimes you get stuck at long term fake war due to your allies, and I didn't want you to be stuck with big war exhaustion in such case.

War Exhastion gets reduced at peace twice as fast. It also convinces AI to peace out twice as much.

Other changes

Tradition from battles doubled, so it's influenced somewhat more by actually fighting or not, and somewhat less by forts and idea choices.

Costs to change culture, move capital, or move main trade port halved, as they were all seriously excessive. In a typical game you'll not use any of these features.

Limit of idea groups from same category removed, but that's already an option when you start a new campaign.

You can customize it

If you want to customize your experience, I tried to keep different changes separate, so you can adjust or delete any tweaks.

Overall the mod isn't trying to make it a completely different game, just a better version of what it could be.

I play about one campaign per major patch, plus run a lot of AI simulations to see if the changes work as intended. But it's definitely possible that some of the changes have serious side effects. If you play Fun and Balance, and have issues with either fun or balance, let me know.

Sunday, January 03, 2021

Overextension is just a number

It's an interesting question how well EU4 matches history. So I loaded EU4 history files, and checked - how much overextension would various countries have.

I'm counting all change of ownership events by their year only, except when province becomes colonized, assuming every overextension event lasts exactly 3 whole years.

As some situations are ambiguous, I did the simplest possible thing and notably did not consider:

  • integrating subjects
  • forming new countries (like Commonwealth or Russia)
  • core reconquest
  • getting free cores through independence
  • administrative efficiency
  • any special treatment of colonial nations, as they're treated as part of parent nation in history files
  • only years where a country had 100% or higher OE are given
This way the list doesn't miss anything, even if it has some entries that probably shouldn't be there.

As you can see, overextension is just a number, and you should never be afraid to go over 100% or 753% for that matter (the record of 839% for Spain is a false positive).

So here's the list, with affected country, total OE, and previous owners:

  • Afghanistan 1747 - 119% - Baluchistan 9%, Mughals 3%, Persia 107%
  • Afghanistan 1748 - 119% - Baluchistan 9%, Mughals 3%, Persia 107%
  • Afghanistan 1749 - 119% - Baluchistan 9%, Mughals 3%, Persia 107%
  • Afghanistan 1752 - 135% - Bukhara 24%, Mughals 91%, Persia 20%
  • Afghanistan 1753 - 115% - Bukhara 24%, Mughals 91%
  • Annam 1802 - 103% - Dai Viet 103%
  • Annam 1803 - 103% - Dai Viet 103%
  • Annam 1804 - 103% - Dai Viet 103%
  • Aq Qoyunlu 1469 - 363% - Baluchistan 10%, Bitlis 19%, Kharabakh 9%, Qara Qoyunlu 295%, Timurids 30%
  • Aq Qoyunlu 1470 - 363% - Baluchistan 10%, Bitlis 19%, Kharabakh 9%, Qara Qoyunlu 295%, Timurids 30%
  • Aq Qoyunlu 1471 - 295% - Baluchistan 10%, Bitlis 19%, Qara Qoyunlu 236%, Timurids 30%
  • Aragon 1503 - 102% - France 91%, Naples 11%
  • Aragon 1504 - 102% - France 91%, Naples 11%
  • Austria 1458 - 104% - Bregenz 5%, Croatia 6%, Styria 93%
  • Austria 1477 - 213% - Brabant 56%, Burgundy 73%, Flanders 42%, Holland 42%
  • Austria 1478 - 213% - Brabant 56%, Burgundy 73%, Flanders 42%, Holland 42%
  • Austria 1479 - 213% - Brabant 56%, Burgundy 73%, Flanders 42%, Holland 42%
  • Austria 1526 - 283% - Bohemia 128%, Croatia 19%, Glogow 10%, Hungary 113%, Opole 13%
  • Austria 1527 - 283% - Bohemia 128%, Croatia 19%, Glogow 10%, Hungary 113%, Opole 13%
  • Austria 1528 - 283% - Bohemia 128%, Croatia 19%, Glogow 10%, Hungary 113%, Opole 13%
  • Austria 1620 - 136% - Bohemia 136%
  • Austria 1621 - 136% - Bohemia 136%
  • Austria 1622 - 136% - Bohemia 136%
  • Austria 1699 - 103% - Ottomans 68%, Transylvania 35%
  • Austria 1700 - 103% - Ottomans 68%, Transylvania 35%
  • Austria 1701 - 103% - Ottomans 68%, Transylvania 35%
  • Austria 1704 - 113% - Bavaria 102%, Passau 11%
  • Austria 1705 - 113% - Bavaria 102%, Passau 11%
  • Austria 1706 - 113% - Bavaria 102%, Passau 11%
  • Austria 1713 - 133% - Netherlands 49%, Spain 84%
  • Austria 1714 - 306% - Netherlands 49%, Sicily 25%, Spain 232%
  • Austria 1715 - 306% - Netherlands 49%, Sicily 25%, Spain 232%
  • Austria 1716 - 173% - Sicily 25%, Spain 148%
  • Austria 1718 - 152% - Naples 55%, Ottomans 51%, Wallachia 46%
  • Austria 1719 - 152% - Naples 55%, Ottomans 51%, Wallachia 46%
  • Austria 1720 - 117% - Naples 55%, Ottomans 16%, Wallachia 46%
  • Austria 1797 - 166% - Commonwealth 56%, Venice 110%
  • Austria 1798 - 110% - Venice 110%
  • Austria 1799 - 110% - Venice 110%
  • Austria 1814 - 315% - Bavaria 57%, France 70%, Italy 188%
  • Austria 1815 - 315% - Bavaria 57%, France 70%, Italy 188%
  • Austria 1816 - 316% - Bavaria 67%, France 61%, Italy 188%
  • Bavaria 1714 - 113% - Austria 113%
  • Bavaria 1715 - 113% - Austria 113%
  • Bavaria 1716 - 113% - Austria 113%
  • Bengal 1526 - 120% - Delhi 100%, Tirhut 20%
  • Bengal 1527 - 100% - Delhi 100%
  • Bengal 1528 - 100% - Delhi 100%
  • Bengal 1540 - 332% - Mughals 332%
  • Bengal 1541 - 332% - Mughals 332%
  • Bengal 1542 - 332% - Mughals 332%
  • Bengal 1543 - 105% - Gujarat 26%, Gwalior 8%, Hadoti 10%, Malwa 53%, Marwar 8%
  • Bengal 1544 - 244% - Dhundhar 13%, Gujarat 35%, Gwalior 8%, Hadoti 15%, Jaisalmer 3%, Jangladesh 6%, Malwa 53%, Marwar 8%, Mewar 10%, Mughals 30%, Sindh 63%
  • Bengal 1545 - 244% - Dhundhar 13%, Gujarat 35%, Gwalior 8%, Hadoti 15%, Jaisalmer 3%, Jangladesh 6%, Malwa 53%, Marwar 8%, Mewar 10%, Mughals 30%, Sindh 63%
  • Bengal 1546 - 139% - Dhundhar 13%, Gujarat 9%, Hadoti 5%, Jaisalmer 3%, Jangladesh 6%, Mewar 10%, Mughals 30%, Sindh 63%
  • Bengal 1707 - 244% - Mughals 244%
  • Bengal 1708 - 244% - Mughals 244%
  • Bengal 1709 - 244% - Mughals 244%
  • Bohemia 1618 - 151% - Austria 151%
  • Bohemia 1619 - 151% - Austria 151%
  • Bohemia 1620 - 151% - Austria 151%
  • Bukhara 1502 - 115% - Timurids 36%, Uzbek 79%
  • Bukhara 1503 - 115% - Timurids 36%, Uzbek 79%
  • Bukhara 1504 - 133% - Timurids 36%, Uzbek 79%, Yarkand 18%
  • Bukhara 1507 - 139% - Khorasan 134%, Sistan 5%
  • Bukhara 1508 - 139% - Khorasan 134%, Sistan 5%
  • Burgundy 1475 - 104% - Friesland 24%, Gelre 29%, Lorraine 32%, Provence 19%
  • Colombia 1810 - 156% - Spain 156%
  • Colombia 1811 - 156% - Spain 156%
  • Colombia 1812 - 156% - Spain 156%
  • Colombia 1819 - 146% - Spain 30%, Venezuela 116%
  • Colombia 1820 - 146% - Spain 30%, Venezuela 116%
  • Colombia 1821 - 146% - Spain 30%, Venezuela 116%
  • Commonwealth 1569 - 506% - Lithuania 204%, Poland 302%
  • Commonwealth 1570 - 506% - Lithuania 204%, Poland 302%
  • Commonwealth 1571 - 506% - Lithuania 204%, Poland 302%
  • Deccan 1724 - 279% - Mughals 279%
  • Deccan 1725 - 279% - Mughals 279%
  • Deccan 1726 - 279% - Mughals 279%
  • Delhi 1451 - 112% - Kashmir 7%, Sirhind 105%
  • Delhi 1452 - 159% - Jaunpur 47%, Kashmir 7%, Sirhind 105%
  • Delhi 1453 - 152% - Jaunpur 47%, Sirhind 105%
  • Delhi 1486 - 152% - Jaunpur 152%
  • Delhi 1487 - 152% - Jaunpur 152%
  • Delhi 1488 - 152% - Jaunpur 152%
  • Delhi 1553 - 146% - Bengal 146%
  • Delhi 1554 - 146% - Bengal 146%
  • Delhi 1555 - 146% - Bengal 146%
  • Dzungar 1740 - 127% - Kazakh 127%
  • Dzungar 1741 - 127% - Kazakh 127%
  • Dzungar 1742 - 127% - Kazakh 127%
  • France 1477 - 103% - Burgundy 103%
  • France 1478 - 103% - Burgundy 103%
  • France 1479 - 103% - Burgundy 103%
  • France 1499 - 112% - Geneva 13%, Genoa 38%, Savoy 53%, Switzerland 8%
  • France 1500 - 112% - Geneva 13%, Genoa 38%, Savoy 53%, Switzerland 8%
  • France 1501 - 112% - Geneva 13%, Genoa 38%, Savoy 53%, Switzerland 8%
  • France 1504 - 177% - Milan 86%, Naples 91%
  • France 1796 - 113% - Austria 50%, Bavaria 51%, Sardinia-Piedmont 12%
  • France 1797 - 314% - Aachen 14%, Austria 139%, Bavaria 43%, Liege 27%, Prussia 14%, Sardinia-Piedmont 22%, Trier 22%, Venice 33%
  • France 1798 - 275% - Aachen 14%, Austria 89%, Bavaria 43%, Liege 27%, Prussia 14%, Sardinia-Piedmont 33%, Trier 22%, Venice 33%
  • France 1799 - 220% - Aachen 14%, Austria 89%, Liege 27%, Prussia 14%, Sardinia-Piedmont 21%, Trier 22%, Venice 33%
  • France 1801 - 163% - Cologne 27%, Mainz 10%, Parma 15%, Spain 34%, Tuscany 77%
  • France 1802 - 173% - Cologne 27%, Great Britain 10%, Mainz 10%, Parma 15%, Spain 34%, Tuscany 77%
  • France 1803 - 129% - Cologne 27%, Great Britain 10%, Parma 15%, Tuscany 77%
  • France 1805 - 106% - Austria 40%, Genoa 38%, Lucca 14%, Prussia 14%
  • France 1806 - 106% - Austria 40%, Genoa 38%, Lucca 14%, Prussia 14%
  • France 1807 - 208% - Austria 40%, Corfu 11%, Etruria 77%, Genoa 38%, Lucca 14%, Prussia 14%, Ragusa 14%
  • France 1808 - 111% - Berg 9%, Corfu 11%, Etruria 77%, Ragusa 14%
  • France 1809 - 166% - Austria 9%, Berg 9%, Corfu 11%, Etruria 77%, Ragusa 14%, The Papal State 46%
  • France 1810 - 383% - Austria 9%, Berg 9%, Denmark 20%, Hamburg 19%, Italy 21%, Lübeck 19%, Netherlands 211%, Oldenburg 7%, The Papal State 46%, Westphalia 22%
  • France 1811 - 390% - Austria 9%, Bremen 16%, Denmark 20%, Hamburg 19%, Italy 21%, Lübeck 19%, Netherlands 211%, Oldenburg 7%, The Papal State 46%, Westphalia 22%
  • France 1812 - 335% - Bremen 16%, Denmark 20%, Hamburg 19%, Italy 21%, Lübeck 19%, Netherlands 211%, Oldenburg 7%, Westphalia 22%
  • Great Britain 1707 - 749% - England 658%, Scotland 91%
  • Great Britain 1708 - 749% - England 658%, Scotland 91%
  • Great Britain 1709 - 749% - England 658%, Scotland 91%
  • Great Britain 1761 - 105% - Bengal 95%, France 10%
  • Great Britain 1762 - 105% - Bengal 95%, France 10%
  • Great Britain 1763 - 292% - Abenaki 6%, Creek 7%, Fox 3%, France 260%, Potawatomi 4%, Spain 12%
  • Great Britain 1764 - 282% - Abenaki 6%, Creek 7%, Fox 3%, France 250%, Potawatomi 4%, Spain 12%
  • Great Britain 1765 - 413% - Abenaki 6%, Assam 6%, Bengal 125%, Creek 7%, Fox 3%, France 250%, Potawatomi 4%, Spain 12%
  • Great Britain 1766 - 182% - Assam 6%, Bengal 125%, Deccan 48%, France 3%
  • Great Britain 1767 - 182% - Assam 6%, Bengal 125%, Deccan 48%, France 3%
  • Great Britain 1801 - 212% - Carnatic 58%, Deccan 24%, Gwalior 9%, Marathas 26%, Mysore 48%, Oudh 47%
  • Great Britain 1802 - 211% - Carnatic 58%, Deccan 24%, Gwalior 9%, Kandy 7%, Marathas 26%, Netherlands 30%, Oudh 47%, Spain 10%
  • Great Britain 1803 - 311% - Carnatic 58%, Gwalior 74%, Kandy 7%, Marathas 27%, Nagpur 58%, Netherlands 30%, Oudh 47%, Spain 10%
  • Great Britain 1804 - 187% - Gwalior 65%, Kandy 7%, Marathas 17%, Nagpur 58%, Netherlands 30%, Spain 10%
  • Great Britain 1805 - 140% - Gwalior 65%, Marathas 17%, Nagpur 58%
  • Great Britain 1818 - 240% - Baroda 31%, Gwalior 23%, Marathas 127%, Nagpur 50%, Nepal 9%
  • Great Britain 1819 - 203% - Baroda 31%, Gwalior 23%, Kutch 3%, Marathas 127%, Nagpur 19%
  • Great Britain 1820 - 194% - Baroda 22%, Gwalior 23%, Kutch 3%, Marathas 127%, Nagpur 19%
  • Italy 1805 - 149% - Austria 86%, The Papal State 63%
  • Italy 1806 - 149% - Austria 86%, The Papal State 63%
  • Italy 1807 - 149% - Austria 86%, The Papal State 63%
  • Jaunpur 1553 - 152% - Bengal 152%
  • Jaunpur 1554 - 152% - Bengal 152%
  • Jaunpur 1555 - 152% - Bengal 152%
  • Kazakh 1755 - 122% - Dzungar 122%
  • Kazakh 1756 - 122% - Dzungar 122%
  • Kazakh 1757 - 122% - Dzungar 122%
  • Khorasan 1449 - 159% - Afghanistan 47%, Timurids 112%
  • Khorasan 1450 - 153% - Afghanistan 47%, Timurids 106%
  • Khorasan 1451 - 172% - Afghanistan 47%, Ajam 19%, Timurids 106%
  • La Plata 1816 - 125% - Spain 125%
  • La Plata 1817 - 125% - Spain 125%
  • La Plata 1818 - 125% - Spain 125%
  • Manchu 1616 - 189% - Donghai 34%, Jianzhou 142%, Udege 13%
  • Manchu 1617 - 189% - Donghai 34%, Jianzhou 142%, Udege 13%
  • Manchu 1618 - 189% - Donghai 34%, Jianzhou 142%, Udege 13%
  • Mexico 1810 - 681% - Lipan 3%, Spain 678%
  • Mexico 1811 - 681% - Lipan 3%, Spain 678%
  • Mexico 1812 - 681% - Lipan 3%, Spain 678%
  • Ming 1648 - 154% - Qing 154%
  • Ming 1649 - 184% - Qing 184%
  • Ming 1650 - 184% - Qing 184%
  • Morocco 1549 - 167% - Fez 56%, Tafilalt 83%, Tlemcen 28%
  • Morocco 1550 - 167% - Fez 56%, Tafilalt 83%, Tlemcen 28%
  • Morocco 1551 - 167% - Fez 56%, Tafilalt 83%, Tlemcen 28%
  • Morocco 1668 - 107% - Tafilalt 107%
  • Morocco 1669 - 107% - Tafilalt 107%
  • Morocco 1670 - 130% - Sus 23%, Tafilalt 107%
  • Mughals 1526 - 369% - Delhi 220%, Timurids 149%
  • Mughals 1527 - 400% - Delhi 220%, Gwalior 8%, Sindh 23%, Timurids 149%
  • Mughals 1528 - 438% - Bengal 38%, Delhi 220%, Gwalior 8%, Sindh 23%, Timurids 149%
  • Mughals 1554 - 119% - Punjab 10%, Sirhind 109%
  • Mughals 1555 - 249% - Delhi 130%, Punjab 10%, Sirhind 109%
  • Mughals 1556 - 249% - Delhi 130%, Punjab 10%, Sirhind 109%
  • Mughals 1557 - 153% - Delhi 130%, Multan 23%
  • Mughals 1558 - 129% - Delhi 16%, Jaunpur 90%, Multan 23%
  • Mughals 1559 - 129% - Delhi 16%, Jaunpur 90%, Multan 23%
  • Mughals 1560 - 106% - Delhi 16%, Jaunpur 90%
  • Mughals 1574 - 121% - Baglana 6%, Gujarat 73%, Navanagar 5%, Porbandar 5%, Sindh 32%
  • Mughals 1575 - 178% - Baglana 6%, Bengal 57%, Gujarat 73%, Navanagar 5%, Porbandar 5%, Sindh 32%
  • Mughals 1576 - 253% - Bengal 213%, Bishnupur 8%, Sindh 32%
  • Mughals 1577 - 221% - Bengal 213%, Bishnupur 8%
  • Mughals 1578 - 164% - Bengal 156%, Bishnupur 8%
  • Mughals 1686 - 120% - Bijapur 120%
  • Mughals 1687 - 254% - Bijapur 120%, Golkonda 134%
  • Mughals 1688 - 254% - Bijapur 120%, Golkonda 134%
  • Mughals 1689 - 134% - Golkonda 134%
  • Muscovy 1478 - 128% - Novgorod 128%
  • Muscovy 1479 - 128% - Novgorod 128%
  • Muscovy 1480 - 128% - Novgorod 128%
  • Naples 1734 - 157% - Austria 157%
  • Naples 1735 - 157% - Austria 157%
  • Naples 1736 - 157% - Austria 157%
  • Netherlands 1549 - 178% - Spain 178%
  • Netherlands 1550 - 178% - Spain 178%
  • Netherlands 1551 - 178% - Spain 178%
  • Netherlands 1813 - 204% - France 204%
  • Netherlands 1814 - 204% - France 204%
  • Netherlands 1815 - 362% - France 345%, Great Britain 17%
  • Netherlands 1816 - 158% - France 141%, Great Britain 17%
  • Netherlands 1817 - 158% - France 141%, Great Britain 17%
  • Ottomans 1516 - 208% - Dulkadir 23%, Fadl 11%, Hisn Kayfa 6%, Mamluks 119%, Persia 49%
  • Ottomans 1517 - 349% - Fadl 11%, Mamluks 324%, Persia 14%
  • Ottomans 1518 - 349% - Fadl 11%, Mamluks 324%, Persia 14%
  • Ottomans 1519 - 205% - Mamluks 205%
  • Ottomans 1536 - 100% - Persia 100%
  • Ottomans 1537 - 100% - Persia 100%
  • Ottomans 1538 - 182% - Mamluks 46%, Mikhlaf 7%, Persia 118%, Yemen 11%
  • Ottomans 1540 - 104% - Dongola 6%, Mamluks 46%, Mikhlaf 7%, Persia 18%, Venice 16%, Yemen 11%
  • Ottomans 1590 - 122% - Persia 122%
  • Ottomans 1591 - 122% - Persia 122%
  • Ottomans 1592 - 122% - Persia 122%
  • Oudh 1724 - 115% - Mughals 115%
  • Oudh 1725 - 115% - Mughals 115%
  • Oudh 1726 - 115% - Mughals 115%
  • Persia 1501 - 103% - Aq Qoyunlu 68%, Ardabil 9%, Shirvan 26%
  • Persia 1502 - 103% - Aq Qoyunlu 68%, Ardabil 9%, Shirvan 26%
  • Persia 1503 - 103% - Aq Qoyunlu 68%, Ardabil 9%, Shirvan 26%
  • Persia 1504 - 193% - Aq Qoyunlu 185%, Mushasha 8%
  • Persia 1505 - 193% - Aq Qoyunlu 185%, Mushasha 8%
  • Persia 1506 - 193% - Aq Qoyunlu 185%, Mushasha 8%
  • Persia 1507 - 155% - Aq Qoyunlu 155%
  • Persia 1508 - 189% - Aq Qoyunlu 155%, Mushasha 34%
  • Persia 1509 - 189% - Aq Qoyunlu 155%, Mushasha 34%
  • Persia 1510 - 137% - Bukhara 103%, Mushasha 34%
  • Persia 1511 - 103% - Bukhara 103%
  • Persia 1512 - 103% - Bukhara 103%
  • Persia 1612 - 116% - Ottomans 116%
  • Persia 1613 - 116% - Ottomans 116%
  • Persia 1614 - 116% - Ottomans 116%
  • Persia 1739 - 100% - Bukhara 24%, Mughals 76%
  • Persia 1741 - 123% - Khiva 9%, Mughals 76%, Oman 38%
  • Poland 1807 - 166% - Austria 56%, Prussia 110%
  • Poland 1808 - 166% - Austria 56%, Prussia 110%
  • Poland 1809 - 166% - Austria 56%, Prussia 110%
  • Prussia 1701 - 188% - Brandenburg 188%
  • Prussia 1702 - 188% - Brandenburg 188%
  • Prussia 1703 - 188% - Brandenburg 188%
  • Prussia 1795 - 111% - Commonwealth 111%
  • Prussia 1813 - 133% - Berg 23%, France 7%, Westphalia 103%
  • Prussia 1814 - 259% - Berg 23%, Danzig 16%, France 51%, Hanover 7%, Poland 59%, Westphalia 103%
  • Prussia 1815 - 380% - Berg 35%, Danzig 16%, Denmark 29%, France 78%, Hanover 16%, Poland 59%, Saxony 44%, Westphalia 103%
  • Prussia 1816 - 247% - Berg 12%, Danzig 16%, Denmark 29%, France 71%, Hanover 16%, Poland 59%, Saxony 44%
  • Prussia 1817 - 121% - Berg 12%, Denmark 29%, France 27%, Hanover 9%, Saxony 44%
  • Qara Qoyunlu 1451 - 150% - Ajam 150%
  • Qara Qoyunlu 1452 - 139% - Ajam 139%
  • Qara Qoyunlu 1453 - 144% - Ajam 139%, Khorasan 5%
  • Qing 1636 - 413% - Manchu 413%
  • Qing 1637 - 413% - Manchu 413%
  • Qing 1638 - 413% - Manchu 413%
  • Qing 1644 - 202% - Ming 20%, Shun 182%
  • Qing 1645 - 613% - Ming 246%, Shun 348%, Xi 19%
  • Qing 1646 - 753% - Ming 365%, Shun 348%, Xi 40%
  • Qing 1647 - 697% - Ming 491%, Shun 166%, Xi 40%
  • Qing 1648 - 286% - Ming 265%, Xi 21%
  • Qing 1649 - 206% - Ming 206%
  • Qing 1650 - 169% - Ming 169%
  • Qing 1651 - 198% - Ming 198%
  • Qing 1652 - 138% - Ming 138%
  • Qing 1659 - 101% - Ming 41%, Xi 60%
  • Qing 1660 - 101% - Ming 41%, Xi 60%
  • Qing 1681 - 250% - Zhou 250%
  • Qing 1682 - 250% - Zhou 250%
  • Qing 1683 - 260% - Ming 10%, Zhou 250%
  • Qing 1697 - 117% - Dzungar 117%
  • Qing 1698 - 117% - Dzungar 117%
  • Russia 1503 - 411% - Lithuania 14%, Muscovy 389%, Ryazan 8%
  • Russia 1504 - 411% - Lithuania 14%, Muscovy 389%, Ryazan 8%
  • Russia 1505 - 437% - Lithuania 14%, Muscovy 389%, Perm 26%, Ryazan 8%
  • Russia 1552 - 138% - Kazan 132%, Nogai 6%
  • Russia 1553 - 138% - Kazan 132%, Nogai 6%
  • Russia 1554 - 138% - Kazan 132%, Nogai 6%
  • Russia 1722 - 106% - Persia 34%, Sweden 72%
  • Russia 1723 - 106% - Persia 34%, Sweden 72%
  • Russia 1795 - 165% - Commonwealth 152%, Kurland 13%
  • Russia 1796 - 103% - Commonwealth 90%, Kurland 13%
  • Russia 1797 - 103% - Commonwealth 90%, Kurland 13%
  • Russia 1814 - 130% - Armenia 6%, Kharabakh 9%, Moldavia 17%, Ottomans 11%, Poland 87%
  • Russia 1815 - 102% - Armenia 6%, Kharabakh 9%, Poland 87%
  • Sardinia-Piedmont 1720 - 105% - Austria 21%, Sicily 84%
  • Sardinia-Piedmont 1721 - 105% - Austria 21%, Sicily 84%
  • Sardinia-Piedmont 1722 - 105% - Austria 21%, Sicily 84%
  • Sardinia-Piedmont 1814 - 147% - France 147%
  • Sardinia-Piedmont 1815 - 147% - France 147%
  • Sardinia-Piedmont 1816 - 147% - France 147%
  • Shun 1644 - 348% - Ming 348%
  • Shun 1645 - 348% - Ming 348%
  • Shun 1646 - 285% - Ming 285%
  • Sirhind 1553 - 109% - Bengal 109%
  • Sirhind 1554 - 109% - Bengal 109%
  • Sirhind 1555 - 109% - Bengal 109%
  • Spain 1516 - 839% - Aragon 323%, Castile 516%
  • Spain 1517 - 839% - Aragon 323%, Castile 516%
  • Spain 1518 - 839% - Aragon 323%, Castile 516%
  • Spain 1519 - 256% - Austria 251%, Aztec 5%
  • Spain 1520 - 283% - Austria 251%, Aztec 5%, Tlaxcala 27%
  • Spain 1521 - 421% - Austria 251%, Aztec 108%, Butuan 6%, Huastec 3%, Otomi 3%, Tarascan 3%, Teotitlan 7%, Tlaxcala 27%, Tripoli 3%, Tzotzil 10%
  • Spain 1522 - 186% - Aztec 103%, Butuan 6%, Huastec 3%, Otomi 3%, Tarascan 3%, Teotitlan 7%, Tlapanec 21%, Tlaxcala 27%, Tripoli 3%, Tzotzil 10%
  • Spain 1523 - 200% - Aztec 103%, Butuan 6%, Colima 27%, Huastec 3%, Otomi 3%, Tarascan 17%, Teotitlan 7%, Tlapanec 21%, Tripoli 3%, Tzotzil 10%
  • Spain 1524 - 118% - Aztec 10%, Chorti 3%, Colima 27%, Kaqchikel 5%, Kiche 21%, Mixtec 12%, Tarascan 14%, Tlapanec 21%, Zapotec 5%
  • Spain 1525 - 110% - Aztec 10%, Chorti 6%, Colima 27%, Kaqchikel 12%, Kiche 21%, Mixtec 12%, Tairona 3%, Tarascan 14%, Zapotec 5%
  • Spain 1532 - 118% - Carib 3%, Guamar 6%, Inca 21%, Siena 20%, Tarascan 45%, Tonala 6%, Xalisco 17%
  • Spain 1533 - 312% - Carib 3%, Guamar 6%, Inca 248%, Montferrat 12%, Siena 20%, Tonala 6%, Xalisco 17%
  • Spain 1534 - 289% - Guamar 6%, Inca 248%, Montferrat 12%, Tonala 6%, Xalisco 17%
  • Spain 1535 - 330% - Charrua 7%, Inca 240%, Milan 71%, Montferrat 12%
  • Spain 1537 - 120% - Can Pech 7%, Charrua 7%, Inca 35%, Milan 71%
  • Taungu 1563 - 157% - Shan 157%
  • Taungu 1564 - 177% - Ayutthaya 20%, Shan 157%
  • Taungu 1565 - 177% - Ayutthaya 20%, Shan 157%
  • Timurids 1448 - 127% - Transoxiana 127%
  • Timurids 1449 - 127% - Transoxiana 127%
  • Timurids 1450 - 127% - Transoxiana 127%
  • Timurids 1458 - 137% - Khorasan 132%, Qara Qoyunlu 5%
  • Timurids 1459 - 137% - Khorasan 132%, Qara Qoyunlu 5%
  • Timurids 1460 - 113% - Khorasan 108%, Qara Qoyunlu 5%
  • Tokugawa 1600 - 201% - Chosokabe 7%, Hosokawa 7%, Ikeda 7%, Mori 48%, Oda 132%
  • Tokugawa 1601 - 201% - Chosokabe 7%, Hosokawa 7%, Ikeda 7%, Mori 48%, Oda 132%
  • Tokugawa 1602 - 207% - Chosokabe 7%, Hosokawa 7%, Ikeda 7%, Mori 48%, Oda 132%, Satake 6%
  • Transoxiana 1409 - 127% - Timurids 127%
  • Transoxiana 1410 - 127% - Timurids 127%
  • Transoxiana 1411 - 127% - Timurids 127%
  • United States 1776 - 282% - Great Britain 282%
  • United States 1777 - 282% - Great Britain 282%
  • United States 1778 - 290% - Great Britain 290%
  • Venezuela 1811 - 116% - Spain 116%
  • Venezuela 1812 - 116% - Spain 116%
  • Venezuela 1813 - 116% - Spain 116%
  • Westphalia 1807 - 256% - Hanover 29%, Hesse 43%, Nassau 9%, Prussia 175%
  • Westphalia 1808 - 256% - Hanover 29%, Hesse 43%, Nassau 9%, Prussia 175%
  • Westphalia 1809 - 256% - Hanover 29%, Hesse 43%, Nassau 9%, Prussia 175%
  • Xi 1644 - 106% - Ming 106%
  • Xi 1645 - 106% - Ming 106%
  • Zhou 1662 - 257% - Ming 46%, Qing 205%, Xi 6%
  • Zhou 1663 - 257% - Ming 46%, Qing 205%, Xi 6%
  • Zhou 1664 - 238% - Ming 46%, Qing 186%, Xi 6%
An obvious followup to this question would be how far Aggressive Expansion went, and how many countries would get coalitioned, but that's a much more complicated calculation, even to approximate.

Sunday, December 20, 2020

Ranking of all EU4 religions


I used same bonus scoring as with idea groups. There are a few issues with this approach, beyond the usual limitations:

  • you can pick any idea groups as any country, not so much with religions
  • countries with different idea groups don't hate you
  • peasants with different idea groups don't hate you
  • religions don't just have static bonuses, usually they have some mechanics, with conditional bonuses, and each works differently
  • I only scores persistent bonuses, so Papal interactions (pretty good) and Anglican buttons (awful) are excluded from this
  • Counter-Reformation is not counted
  • ability to become HRE emperor is not counted
  • religions also get custom decisions (Christians get a lot of benefits here), special government types (Muslims get bonuses), ability to take over China (pagans/Eastern), and so on - none of that is scored
  • special estates (Hindu / Muslim) are not scored

So I stand behind these rankings less than behind my idea group rankings. Still, it's an interesting exercise.

Summary of results

  • S Tier - Fully Reformed New World religions (for above everything else, but you need to get there first)
  • A Tier - maxed out Orthodox with icons (hard to achieve early), Ibadi, Catholic as Curia Controller (hard to do reliably)
  • B Tier - Sunni, Shiite, maxed out Coptic, more realistic Orthodox, Fetishist + Mazdayasna (really hard to get), Buddhist + neutral karma (basically impossible)
  • C Tier - Hindu, Protestant, Hussite, Shinto + Isolationism, Fetishist + most cults, Buddhist + high karma (basically impossible)
  • D Tier - everything else
  • F Tier - Confucian with low harmony (either harmonizing everything; or converting peasents to your faith will do that)

I'm mostly surprised by how low Hindu got ranked. I'm also really surprised by how well Fetishist is doing, but I was just barely aware of its existence.

All scores

  • 7.383500 - Mayan + Tribal Expansion + Reform the Bureaucracy + Central Arbitration + Central Armories + A Unified Army
  • 7.183200 - Nahuatl + 0% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations + Open up Sumptuary Restrictions + Legal Reform
  • 7.113500 - Mayan + Tribal Expansion + Reform the Bureaucracy + Central Arbitration + Central Armories
  • 7.038800 - Nahuatl + 0% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations + Open up Sumptuary Restrictions
  • 6.980600 - Inti + 100% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords + Organized Recruitment + Reform the Cult of Inti
  • 6.730600 - Inti + 100% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords + Organized Recruitment
  • 6.616700 - Mayan + Tribal Expansion + Reform the Bureaucracy + Central Arbitration
  • 6.570000 - Nahuatl + 0% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations
  • 6.444500 - Inti + 50% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords + Organized Recruitment + Reform the Cult of Inti
  • 6.370600 - Inti + 100% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords
  • 6.194500 - Inti + 50% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords + Organized Recruitment
  • 6.183200 - Nahuatl + 50% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations + Open up Sumptuary Restrictions + Legal Reform
  • 6.038800 - Nahuatl + 50% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations + Open up Sumptuary Restrictions
  • 5.908400 - Inti + 0% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords + Organized Recruitment + Reform the Cult of Inti
  • 5.834500 - Inti + 50% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords
  • 5.830600 - Inti + 100% Authority + Expanded Mitma Policy + Reform the Bureaucracy
  • 5.820000 - Nahuatl + 0% Doom + Tribal Expansion + Warrior Ranks
  • 5.658400 - Inti + 0% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords + Organized Recruitment
  • 5.616700 - Mayan + Tribal Expansion + Reform the Bureaucracy
  • 5.570000 - Nahuatl + 50% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations
  • 5.298400 - Inti + 0% Authority + Expanded Mitma Policy + Reform the Bureaucracy + Yana Lords
  • 5.294500 - Inti + 50% Authority + Expanded Mitma Policy + Reform the Bureaucracy
  • 5.183200 - Nahuatl + 100% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations + Open up Sumptuary Restrictions + Legal Reform
  • 5.038800 - Nahuatl + 100% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations + Open up Sumptuary Restrictions
  • 4.820000 - Nahuatl + 50% Doom + Tribal Expansion + Warrior Ranks
  • 4.772200 - Inti + 100% Authority + Expanded Mitma Policy
  • 4.758400 - Inti + 0% Authority + Expanded Mitma Policy + Reform the Bureaucracy
  • 4.740000 - Nahuatl + 0% Doom + Tribal Expansion
  • 4.570000 - Nahuatl + 100% Doom + Tribal Expansion + Warrior Ranks + Extend Pochteca Obligations
  • 4.268700 - Orthodox 100% Patriarchy + Icon of Eleusa
  • 4.236100 - Inti + 50% Authority + Expanded Mitma Policy
  • 4.172200 - Orthodox 100% Patriarchy + Icon of St. Michael
  • 3.992000 - Ibadi + Shafi'i + Legalism
  • 3.820000 - Nahuatl + 100% Doom + Tribal Expansion + Warrior Ranks
  • 3.752200 - Catholic + Curia Controller
  • 3.740000 - Nahuatl + 50% Doom + Tribal Expansion
  • 3.732200 - Orthodox 100% Patriarchy + Icon of St. Nicholas
  • 3.700000 - Inti + 0% Authority + Expanded Mitma Policy
  • 3.692000 - Ibadi + Ismaili + Legalism
  • 3.656000 - Ibadi + Shafi'i + Mysticism
  • 3.576000 - Sunni + Shafi'i + Legalism
  • 3.546000 - Shia + Ismaili + Legalism
  • 3.532000 - Ibadi + Zaidi + Legalism
  • 3.532000 - Ibadi + Jafari + Legalism
  • 3.508400 - Coptic + Promote Territorial Rights + Send Monks to Establish Monasteries + Will of the Martyrs + Legitimize Government + Encourage Warriors of the Faith
  • 3.500000 - Mayan + Tribal Expansion
  • 3.492000 - Ibadi + Hanbali + Legalism
  • 3.386000 - Shia + Zaidi + Legalism
  • 3.386000 - Shia + Jafari + Legalism
  • 3.380000 - Mahayana + Neutral Karma
  • 3.375000 - Vajrayana + Neutral Karma
  • 3.370000 - Theravada + Neutral Karma
  • 3.356000 - Ibadi + Ismaili + Mysticism
  • 3.280000 - Fetishist + Mazdayasna
  • 3.252000 - Ibadi + Hanafi + Legalism
  • 3.240000 - Sunni + Shafi'i + Mysticism
  • 3.210000 - Shia + Ismaili + Mysticism
  • 3.196000 - Ibadi + Zaidi + Mysticism
  • 3.196000 - Ibadi + Jafari + Mysticism
  • 3.185900 - Ibadi + Maliki + Legalism
  • 3.156000 - Ibadi + Hanbali + Mysticism
  • 3.154100 - Orthodox 100% Patriarchy + Icon of Christ Pantocrator
  • 3.148400 - Coptic + Promote Territorial Rights + Send Monks to Establish Monasteries + Will of the Martyrs + Legitimize Government
  • 3.076000 - Sunni + Hanbali + Legalism
  • 3.063700 - Orthodox 50% Patriarchy + Icon of Eleusa
  • 3.050000 - Shia + Zaidi + Mysticism
  • 3.050000 - Shia + Jafari + Mysticism
  • 2.967200 - Orthodox 50% Patriarchy + Icon of St. Michael
  • 2.916000 - Ibadi + Hanafi + Mysticism
  • 2.852200 - Orthodox 100% Patriarchy + Icon of St. John Climacus
  • 2.849900 - Ibadi + Maliki + Mysticism
  • 2.836000 - Sunni + Hanafi + Legalism
  • 2.820000 - Sikh + Guru Amar Das
  • 2.769900 - Sunni + Maliki + Legalism
  • 2.740000 - Sunni + Hanbali + Mysticism
  • 2.740000 - Nahuatl + 100% Doom + Tribal Expansion
  • 2.732200 - Orthodox 100% Patriarchy + No Icon
  • 2.698400 - Coptic + Promote Territorial Rights + Send Monks to Establish Monasteries + Will of the Martyrs
  • 2.527200 - Orthodox 50% Patriarchy + Icon of St. Nicholas
  • 2.500000 - Sunni + Hanafi + Mysticism
  • 2.433900 - Sunni + Maliki + Mysticism
  • 2.378000 - Hussite + Taborite Resurgence + Sola Scriptura + Bread and Wine
  • 2.280000 - Fetishist + Waaq
  • 2.280000 - Fetishist + Nyame
  • 2.158400 - Coptic + Promote Territorial Rights + Send Monks to Establish Monasteries
  • 2.128000 - Protestant + Holy Sacraments + Translated Bibles + Adult Baptism
  • 2.100000 - Reformed + Fervent focus on stability
  • 1.949100 - Orthodox 50% Patriarchy + Icon of Christ Pantocrator
  • 1.927800 - Sikh + Guru Gobind Singh
  • 1.910000 - Sikh + Guru Granth Sahib
  • 1.900000 - Sikh + Guru Hargobind
  • 1.858700 - Orthodox 0% Patriarchy + Icon of Eleusa
  • 1.820000 - Fetishist + Mwari
  • 1.820000 - Fetishist + Enkai
  • 1.820000 - Sikh + Guru Har Rai
  • 1.790000 - Hindu + Ganesha
  • 1.780000 - Fetishist + Mlira
  • 1.762200 - Orthodox 0% Patriarchy + Icon of St. Michael
  • 1.748800 - Fetishist + Zanahary
  • 1.720000 - Hindu + Shakti
  • 1.698400 - Hindu + Shiva
  • 1.696000 - Fetishist + Sanatana Dharma
  • 1.680000 - Fetishist + Cwezi
  • 1.647200 - Orthodox 50% Patriarchy + Icon of St. John Climacus
  • 1.590000 - Hindu + Vishnu
  • 1.580000 - Tengri + Shinto
  • 1.572200 - Inti + 100% Authority
  • 1.560000 - Fetishist + Freyja
  • 1.550000 - Fetishist + Teotl
  • 1.540000 - Shinto + Isolationism (3)
  • 1.540000 - Nahuatl + 0% Doom
  • 1.527200 - Orthodox 50% Patriarchy + No Icon
  • 1.520000 - Fetishist + Haymanot
  • 1.473900 - Fetishist + Buddhadharma
  • 1.420000 - Sikh + Guru Angad
  • 1.408400 - Coptic + Promote Territorial Rights
  • 1.400000 - Fetishist + Roog
  • 1.380000 - Fetishist + Christianity
  • 1.343000 - Fetishist + Yemoja
  • 1.322200 - Orthodox 0% Patriarchy + Icon of St. Nicholas
  • 1.300000 - Mahayana + High Karma
  • 1.295000 - Vajrayana + High Karma
  • 1.290000 - Theravada + High Karma
  • 1.280000 - Fetishist + Islam
  • 1.268000 - Shinto + Selective Integration (2)
  • 1.250000 - Tengri + Zoroastrian
  • 1.200000 - Shinto + Open Doors (0)
  • 1.180400 - Norse + Odin
  • 1.152000 - Norse + Tyr
  • 1.050000 - Tengri + Catholic
  • 1.036100 - Inti + 50% Authority
  • 1.020000 - Sikh + Guru Arjan
  • 0.998000 - Hindu + Surya
  • 0.943900 - Tengri + Theravada
  • 0.929600 - Shinto + Closed Doors (4)
  • 0.920000 - Sikh + Guru Tegh Bahadur
  • 0.900000 - Norse + Snotra
  • 0.892200 - Sikh + Guru Ram Das
  • 0.840000 - Mahayana + Low Karma
  • 0.835000 - Vajrayana + Low Karma
  • 0.830000 - Theravada + Low Karma
  • 0.820000 - Zoroastrian
  • 0.820000 - Sikh + No Guru
  • 0.820000 - Sikh + Guru Granth Sahib
  • 0.820000 - Confucian + High Harmony
  • 0.808000 - Norse + Njord
  • 0.770000 - Tengri + Sikh
  • 0.760000 - Norse + Freya
  • 0.750000 - Totemist
  • 0.750000 - Animist
  • 0.744100 - Orthodox 0% Patriarchy + Icon of Christ Pantocrator
  • 0.740000 - Tengri + Reformed
  • 0.733900 - Shinto + Adaptive (1)
  • 0.712000 - Norse + Tor
  • 0.700000 - Reformed + Fervent focus on war
  • 0.633000 - Hindu + Ganga
  • 0.600000 - Tengri + Coptic
  • 0.592200 - Tengri + Confucian
  • 0.580000 - Reformed + Fervent focus on trade
  • 0.570000 - Confucian
  • 0.568000 - Tengri + Mahayana
  • 0.550000 - Jewish
  • 0.540000 - Nahuatl + 50% Doom
  • 0.530000 - Tengri + Totemist
  • 0.530000 - Tengri + Fetishist
  • 0.530000 - Tengri + Animist
  • 0.510000 - Tengri + Shia
  • 0.500000 - Tengri + Protestant
  • 0.500000 - Tengri + Inti
  • 0.500000 - Tengri + Anglican
  • 0.500000 - Inti + 0% Authority
  • 0.450000 - Tengri + Orthodox
  • 0.442200 - Orthodox 0% Patriarchy + Icon of St. John Climacus
  • 0.420100 - Anglican
  • 0.350000 - Coptic
  • 0.322200 - Orthodox 0% Patriarchy + No Icon
  • 0.320000 - Tengri + Sunni
  • 0.320000 - Sikh + Guru Har Krishan
  • 0.305000 - Tengri + Hindu
  • 0.300000 - Tengri + Ibadi
  • 0.300000 - Mayan
  • 0.290000 - Tengri + Jewish
  • 0.270000 - Tengri + Nahuatl
  • 0.250000 - Tengri + Vajrayana
  • 0.225000 - Catholic
  • 0.135000 - Tengri + Hussite
  • 0.122200 - Tengri + Mayan
  • 0.100000 - Reformed + No Fervor
  • 0.041300 - Tengri + Norse
  • -0.460000 - Nahuatl + 100% Doom
  • -1.164800 - Confucian + Low Harmony