Yep exactly Toomas, but its not Multi-player yet so....
Basically the computer tends to be MUCH faster than the player unless you're playing a huge map with 16 civs and its gotten to the point where you've got hundreds of units in the game.
There isn't any real roleplaying in the game, besides what you want to attribute to it yourself...you're playing GOD...no one really interacts with you directly in the game (other leaders will 'chat' with you...but they don't really RP with you...) Still its fun to make up stories or excuses to yourself on why you had to drive the English screaming into the sea...