The most important civilization bonuses are:
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Castle cost in stone,
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Crop Rotation cost in Food,
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Crop Rotation cost in Wood,
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Heavy Plow cost in Food in the Castle Age,
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Heavy Plow cost in Wood in the Castle Age, and
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Heavy Plow cost in Wood in the Imperial Age
Methodology
I trained various predictive models on the highest win rate among the civilizations recorded at aoestats - Age of Empires 2 Civilization Statistics. For that I needed to convert each civilization bonus into rows of numbers - one column for each civilization. For example, I needed a row that expresses that Koreans have their fortifications built 33% faster. Different buildings have different construction times, so I added one row each for only the buildings that Koreans have that are considered fortifications. I ended up with 1,333 different features for 31 civilizations.
I also performed feature selection to whittle the rows down to the top 6 most important using Recursive Feature Elimination with Logistic Regression, SelectKBest with Chi-squared, RandomForestClassifier, and ExtraTreesClassifier.
The results are in this notebook. Looking at the RFE results, number one is obvious: "Be the Franks; Do not be not the Franks" basically. The rest seem kind of arbitrary. The top six from the other methods change every time I run the test.
(I do not expect this will make your play more enjoyable. This probably just points out where the game is most imbalanced. The reason I spent so much of my free time doing data science on this is because my son plays this game and this was a way for us to have something in common.)
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