A parametric representation of totally mixed Nash equilibria
Algebraic Geometry
2007-05-23 v1 Computer Science and Game Theory
Abstract
We compute a parametric description of the totally mixed Nash equilibria of a generic game in normal form with pre-fixed structure. Using this representation, we show conditions under which a game has the maximum possible number of this kind of equilibria. Then, we present a symbolic procedure that allows us to describe and estimate the number of isolated totally mixed Nash equilibria of an arbitrary game. Under certain assumptions, the algorithm computes the exact number of these equilibria.
Cite
@article{arxiv.math/0703436,
title = {A parametric representation of totally mixed Nash equilibria},
author = {G. Jeronimo and D. Perrucci and J. Sabia},
journal= {arXiv preprint arXiv:math/0703436},
year = {2007}
}
Comments
29 pages, submitted