Killer - I agree in part -- I assumed it was H production, H move, AI production, AI move. But this was just an assumption on our part -- if I thought about it with more vigor, perhaps I could have deciphered that it worked the other way (for instance, I have never, ever seen a post by someone who used a leader to rush a wonder (i.e., get it down to one turn) only to find that the AI builds the wonder before the next turn -- an event that no doubt would have occured by now (and been shouted from the rooftops here) if the reality had been H prod - H move - AI prod - AI move. Why do you say that Firaxis "made us think otherwise?" Also, why is the advantage to the AI? We still get to move first.
Zouave - I respect your posts for the most part -- but the fact that the AI knows the entire map and the location of units is (1) well known by anyone who has spent time playing the game or on these boards, and (2) IMHO, not to be considered a cheat but rather a necessary evil of AI functioning (reasonable people can differ on this, I acknowledge). Note that the AI, despite knowing the map and units, still buys maps (or threatens you for them

) in an effort to "seem human" even though it couldn't possibly have much of a use for the map.
With the exception of the "map and unit knowledge" fact, I still have never seen evidence of any of the other so-called "common" cheats: (1) your favorite teleporting galleys; (2) AI "free and instant" settlers nearby when a city is razed; (3) AI altering (unfairly) production (free shields) to produce that wonder just one turn before the human, etc.
All I'm asking for is a little evidence that any of this is going on . . .