I also have been having this problem ever since upgrading to ios 7 on my ipad2. its super obnoxious, i play a ton of game center games and having to re enter my password 10 times a day is really tedious. The link the previous poster suggested may be helpful to those who are not actully connected to the internet, but all of the suggestions in that post have not resolved anything for me. Connectivity is not an issue. I confirm that I am signed into the Settings > Game Center, but for some reason after a random amount of time, it will sign me out. Then i start getting the pop ups. What would cause the ipad to sign out of game center randomly? No one else uses this ipad, i have all my settings saved. I dont have this problem on my iphone 5. What the heck? To make it worse sometimes i will be in a game center game (for example clash of clans, and yes i do have the "Welcome" game center badge) then i will switch to a different game suddenly, needs my password again, then back to clash and i need to enter it again. Any suggestions would be welcomed, thanks!