On the geometry of Nash equilibria and correlated equilibria

On the geometry of Nash equilibria and correlated equilibria

It is well known that the set of correlated equilibrium distributions of an n-player noncooperative game is a convex polytope that includes all the Nash equilibrium distributions. We demonstrate an elementary yet surprising result: the Nash equilibria all lie on the boundary of the polytope. Reprint...

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Veröffentlicht in:International journal of game theory 2003-01, Vol.32 (4), p.443-453
Hauptverfasser: Nau, R, Canovas, S Gomez, Hansen, P
Format: Artikel
Sprache:eng
Schlagworte:
Economic theory
Equilibrium
Game theory
Games
Mathematical methods
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Zusammenfassung:It is well known that the set of correlated equilibrium distributions of an n-player noncooperative game is a convex polytope that includes all the Nash equilibrium distributions. We demonstrate an elementary yet surprising result: the Nash equilibria all lie on the boundary of the polytope. Reprinted by permission of Physica-Verlag
ISSN:0020-7276