In game theory, a symmetric game is a game where the payoffs for playing a particular strategy depend only on the other strategies employed, not on who is playing them. If one can change the identities of the players without changing the payoff to the strategies, then a game is symmetric. Symmetry can come in different varieties. Ordinally symmetric games are games that are symmetric with respect to the ordinal structure of the payoffs. A game is quantitatively symmetric if and only if it is symmetric with respect to the exact payoffs.
Read more about Symmetric Game: Symmetry in 2x2 Games, Symmetry and Equilibria, Uncorrelated Asymmetries: Payoff Neutral Asymmetries, The General Case
Famous quotes containing the word game:
“Wild Bill was indulging in his favorite pastime of a friendly game of cards in the old No. 10 saloon. For the second time in his career, he was sitting with his back to an open door. Jack McCall walked in, shot him through the back of the head, and rushed from the place, only to be captured shortly afterward. Wild Bill’s dead hand held aces and eights, and from that time on this has been known in the West as “the dead man’s hand.””
—State of South Dakota, U.S. public relief program (1935-1943)