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:

“Can a woman become a genius of the first class? Nobody can know unless women in general shall have equal opportunity with men in education, in vocational choice, and in social welcome of their best intellectual work for a number of generations.”
—Anna Garlin Spencer (1851–1931)

“The woods were as fresh and full of vegetable life as a lichen in wet weather, and contained many interesting plants; but unless they are of white pine, they are treated with as little respect here as a mildew, and in the other case they are only the more quickly cut down.”
—Henry David Thoreau (1817–1862)