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Semi-algebraic sets and equilibria of binary games

Vigeral, Guillaume; Viossat, Yannick (2016), Semi-algebraic sets and equilibria of binary games, Operations Research Letters, 44, 1, p. 19-24. http://dx.doi.org/10.1016/j.orl.2015.11.002

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/1601.01895
Date
2016
Journal name
Operations Research Letters
Volume
44
Number
1
Publisher
Elsevier
Pages
19-24
Publication identifier
http://dx.doi.org/10.1016/j.orl.2015.11.002
Metadata
Show full item record
Author(s)
Vigeral, Guillaume
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Viossat, Yannick
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (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.
Subjects / Keywords
Semi-algebraic sets; Nash equilibria; Equilibrium payoffs; Binary games

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