Civilization 5 does not yet support Play by Email
However, they would like to add it soon. Source
About a month after release, we’re going to add Pitboss. Pitboss will be accompanied by two extraneous modes that we weren’t originally planning, but the fans keep asking for: play-by-mail and hot-seat.
A quick search of the Manual finds that there are two multiplayershows the only play modes supported right now are:
- Local Area Network
- Internet/Steam
Now you're thinking you can just start a multiplayer game and email the save file? There's a big problem preventing that:
Simultaneous Turns Games
A multiplayer game is a “simultaneous turns game.” In this style of game, you and your opponents take their turns simultaneously. Everybody moves units, conducts diplomacy, maintains their cities all at the same time. When everybody’s done everything they want to do, the turn ends and another begins. You can use a Turn Timer when playing in this format as well. Simultaneous Turns games can be a whole lot of fun, but they’re not for everybody. We recommend that you get a bunch of practice in turn-based Civ V before you jump into a simultaneous game.
You won't both be able to take turns.
Overall, As far as I don't believe Play By Email is possible yet in Civ 5.
EDIT: Evidence! They would likecan tell, you'll have to wait till they add it soonsupport. Source
About a month after release, we’re going to add Pitboss. Pitboss will be accompanied by two extraneous modes that we weren’t originally planning, but the fans keep asking for: play-by-mail and hot-seat.