Mavericks: GameKit.framework 'gamed' process –constant network connections

Since upgrading to Mavericks, Little Snitch's network monitor is showing a ridiculous amount of attempts by a process called gamed, which is part of the GameKit.framework, at making network connections. Sometimes it will try dozens of times in a row before giving up. Obviously this framework is something to do with Apple's Game Centre, which I've only previously come across on iOS. What is it now doing on OSX, given that there seems to be no GUI 'front-end' for it? And how the **** do I disable it? I have no games on my comp and no intention of installing any, so I don't really want to be wasting processor cycles with some framework which won't take [Little Snitch's] "no" for an answer, continually trying to beat a path to the internet.

Screengrab link: http://d.pr/i/r4np+