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:
“One of life’s primal situations; the game of hide and seek. Oh, the delicious thrill of hiding while the others come looking for you, the delicious terror of being discovered, but what panic when, after a long search, the others abandon you! You mustn’t hide too well. You mustn’t be too good at the game. The player must never be bigger than the game itself.”
—Jean Baudrillard (b. 1929)