I was recently flooded with connection requests from gamed. The first thing I did was go into Activity Monitor, search on gamed, then Force Quit gamed. That worked for a while but suddenly gamed restarted itself and the connection requests started up again.
I am not a gamer, have never used any of my devices for games and have always had Game Center turned off. I do not have any idea why gamed would suddenly be running.
I have Little Snitch and when gamed restarted itself and the barrage of connection requests started again, I set the first gamed Little Snitch connection request that popped up to these values:
Identification: Code ID
Action: Deny
Direction: Any Direction
To/From: Any Server
I agree with everyone else: There is no good reason to have gamed running when Game Center is turned off. gamed is not a critical Mac OS function and we should not have to take measures like this to keep a unnecessary app from running on our computers.