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:
“The indispensable ingredient of any game worth its salt is that the children themselves play it and, if not its sole authors, share in its creation. Watching TV’s ersatz battles is not the same thing at all. Children act out their emotions, they don’t talk them out and they don’t watch them out. Their imagination and their muscles need each other.”
—Leontine Young (20th century)