First, know that Solitaire uses Apple's Game Center to set up multiplayer games. We cannot correct or fix issues associated with Game Center. When you select a multiplayer game, Solitaire sends a game to Game Center and asks Game Center to connect you to a random player or a friend. Once that connection is made, you come back into our application to play the game.
There are many possible reasons that you may get disconnected from a multiplayer game. Your opponent may have forfeited the game, finished playing or the internet connection was lost. When a game is over, Solitaire will record a win, tie or loss in the Statistics.
You can also refer to Apple Game Center support (http://support.apple.com/kb/HT4314) for additional information on using Game Center.