I have two iPad's that use the same iTunes/store account. I want the two devices to play games with with other, but it recognizes them as the same. I have set up two different iCloud accounts, but still not recognizing the users as different. What to do?

Hello, I have no idea if my question went out, so I'll post it again. I have two iPads (one 3rd gen and one 4th) that use the same iTunes/store account. I want the two devices to game with each other, but the apps recognize them as the same. I have created two different iCloud accounts in an attempt to differentiate between the two, but no luck. How can I continue to use the same iTunes/store account for music and movies, but also have the two devices recognize each other for games?