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arxiv: 1601.01895 · v1 · pith:FTGX6EY4new · submitted 2016-01-08 · 🧮 math.OC

Semi-algebraic sets and equilibria of binary games

classification 🧮 math.OC
keywords equilibriasemi-algebraicsetsactionsbinarycompactconstructivecoordinates
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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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