Certain games allow players to customize aspects of their character or in-game situation.  Consider Cosmic Encounter; each player has a special power representing their particular alien species.  Classically these powers are randomly selected, in the form of cards dealt out to the players at the beginning of each game.  Of course, some play groups might [...]

For 3-7 players.  Uses a standard 52-card deck.

Shuffle, deal 7 cards to each player.
Players trade cards amongst themselves.
After a while (time limit?) trading ends.
Each player uses the cards they have to construct the highest-scoring poker hand they can.
Highest hand wins.

The information problem
Notice I’ve said nothing about what sort of information is allowed to be passed.  [...]