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:
“Neighboring farmers and visitors at White Sulphur drove out occasionally to watch ‘those funny Scotchmen’ with amused superiority; when one member imported clubs from Scotland, they were held for three weeks by customs officials who could not believe that any game could be played with ‘such elongated blackjacks or implements of murder.’”
—For the State of West Virginia, U.S. public relief program (1935-1943)