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:

“There has always been the same amount of light in the world. The new and missing stars, the comets and eclipses, do not affect the general illumination, for only our glasses appreciate them.”
—Henry David Thoreau (1817–1862)

“Without metaphor the handling of general concepts such as culture and civilization becomes impossible, and that of disease and disorder is the obvious one for the case in point. Is not crisis itself a concept we owe to Hippocrates? In the social and cultural domain no metaphor is more apt than the pathological one.”
—Johan Huizinga (1872–1945)