A parametric representation of totally mixed Nash equilibria

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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.
29 pages, submitted

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Algebraic Geometry, Computer Science and Game Theory, 14Q20, 91A10, 68W30

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http://salesiana.dossiersoluciones.com/handle/123456789/125751

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703436
 http://arxiv.org/abs/math/0703436

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arXiv