The new Game Center Terms of Service being pushed out today state:
If you choose to have your public profile set to on, other users of the Service can see your full profile, including your full name, your activity (such as the games you have played and when you played them), your scores, and your achievements, and you can be recommended as a friend to other users. If you choose to have your public profile set to off, only users with whom you have established a friend relationship can see your full profile, and you will not be recommended to others; only your nickname and photo will be visible to users who are not friends.
How do you set the public profile to "off"?
If you choose to have your public profile set to on, other users of the Service can see your full profile, including your full name, your activity (such as the games you have played and when you played them), your scores, and your achievements, and you can be recommended as a friend to other users. If you choose to have your public profile set to off, only users with whom you have established a friend relationship can see your full profile, and you will not be recommended to others; only your nickname and photo will be visible to users who are not friends.
How do you set the public profile to "off"?