Semi-algebraic sets and equilibria of binary games

Vigeral, Guillaume; Viossat, Yannick

doi:10.1016/j.orl.2015.11.002

arXiv 2016-01-08 DOI 10.1016/j.orl.2015.11.002 1 views

Semi-algebraic sets and equilibria of binary games

Vigeral, Guillaume · Viossat, Yannick

Optimization and Control

Original · EN

Any nonempty, compact, semi-algebraic set in [0, 1] n is the projection of the set of mixed equilibria of a finite game with 2 actions per player on its first n coordinates. A similar result follows for sets of equilibrium payoffs. The proofs are constructive and elementary.

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