We are working on a really exciting update right now and are looking for beta testers to make sure that multiplayer works like a charm. If that sounds interesting you can sign up via TestFlight (spots are limited).
If you want to find out more before you join the beta you can download the game for free on the App Store.
Multiplayer uses Game Center for match-making and to connect players.
To join a multiplayer match each player will have to invest 20 Research Points. The winner of a match will take all, effectively taking away 20 Research Points from the losers pool. If one side quits in the middle of a game, the remaining player will automatically be declared winner. This is to discourage leaving a game once started.
You also have limited time during your turn -- 90 seconds to be exact. After the time runs out, your turn will end and the other side will be able to act.
Multiplayer matches also feature a Chat Menu as you can see in the screenshots below:
There will be many more features in this update, so stay tuned ^_^