The following is a list of the bonuses that the AI gets in the game based on difficulty level. This is taken straight from the Civ3 game editor, where you can change all these numbers if you wish. This was primarily done in the PTW 1.04f editor, although with a quick glance the numbers looked the same in vanilla Civ3 1.29f. A great explanation of other cheating that the AI does can be found at TheNiceOne's analysis here. Perhaps if this is useful it could be added to update the information in the Info Center so it stays accurate. The next message contains some explanatory notes, pulled also from the editor and from playing the game way too much at Deity and Emperor levels.
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[b]AI Bonuses Chieftain Warlord Regent Monarch Emperor Deity[/b]
[i]AI additional starting units[/i]
Number of extra defensive units: 0 0 0 2 4 8
Number of extra offensive units: 0 0 0 1 2 4
Number of extra type 1 (usually settlers): 0 0 0 0 0 1
Number of extra type 2 (usually workers): 0 0 0 0 1 2
[i]AI unit support bonuses[/i]
Additional free support for each AI civ: 0 0 0 4 8 16
Bonus for each city: 0 0 0 1 2 4
AI max government transition in turns: * * * 4 3 2
Cost factor (player is 10): 20 12 10 9 8 6
AI to AI trade rate: 110 120 130 140 150 160
[b]AI and player factors:[/b]
Number of citizens born content: 4 3 2 2 1 1
Number of citizens quelled by military: 1 1 1 1 1 1
Attack bonus against barbarians: 800 400 200 100 50 0
Percentage of optimal cities for corruption: 100 95 90 85 80 70
[b]Optimal number of cities per world size (for corruption purposes):[/b]
Tiny - 12
Small - 14
Standard - 16
Large - 24
Huge - 32