Semi-algebraic sets and equilibria of binary games
Optimization and Control
2016-01-11 v1
Abstract
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.
Cite
@article{arxiv.1601.01895,
title = {Semi-algebraic sets and equilibria of binary games},
author = {Guillaume Vigeral and Yannick Viossat},
journal= {arXiv preprint arXiv:1601.01895},
year = {2016}
}