Symmetric Game - The General Case

The General Case

Dasgupta and Maskin consider games where where $U_i,i=1,\ldots N$ is the payoff function for player and is player 's strategy set. Then the game is defined to be symmetric if for any permutation ,

$U_i(a_1,\ldots,a_i,\ldots,a_N) = U_{\pi(i)}(a_{\pi(1)},\ldots,a_{\pi(i)},\ldots,a_{\pi(N)}).$

Read more about this topic: Symmetric Game

Famous quotes containing the words general and/or case:

“At Hayes’ General Store, west of the cemetery, hangs an old army rifle, used by a discouraged Civil War veteran to end his earthly troubles. The grocer took the rifle as payment ‘on account.’”
—Administration for the State of Con, U.S. public relief program (1935-1943)

“Never in any case say I have lost such a thing, but I have returned it. Is your child dead? It is a return. Is your wife dead? It is a return. Are you deprived of your estate? Is not this also a return?”
—Epictetus (c. 55–135)