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:

“In former times and in less complex societies, children could find their way into the adult world by watching workers and perhaps giving them a hand; by lingering at the general store long enough to chat with, and overhear conversations of, adults...; by sharing and participating in the tasks of family and community that were necessary to survival. They were in, and of, the adult world while yet sensing themselves apart as children.”
—Dorothy H. Cohen (20th century)

“Not infrequently, we encounter copies of important human beings; and here, too, as in the case of paintings, most people prefer the copies to the originals.”
—Friedrich Nietzsche (1844–1900)