What advantages the AI gets on hard/hard?

[Bob the Insane]

I don;t know if anyone knows the actual numbers but...

For the battlefield difficulty, my tests and observations lead me to believe the AI gets a small morale boost...

How I came to this conclusion is by using roman peasants fighting each other. Their 1/1 stats and low morale makes any bonuses readily apparant during testing...

In Hard with no mods the rate of soldiers dying in each unit remained pretty equal (as in medium difficulty). But the morale of the AI unit is always better during the fight and as a rule the player's unit would always break first...

[Grand Duke Vytautas]

And what about building time for units and buildings? Does AI cheat on this, e.g. build 3 units in 1 turn? What about AI money?