On the geometry of Nash equilibria and correlated equilibria
AbstractIt 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. Copyright Springer-Verlag 2004
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Bibliographic InfoArticle provided by Springer in its journal International Journal of Games Theory.
Volume (Year): 32 (2004)
Issue (Month): 4 (08)
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Web page: http://link.springer.de/link/service/journals/00182/index.htm
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- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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- Viossat, Yannick, 2006. "The Geometry of Nash Equilibria and Correlated Equilibria and a Generalization of Zero-Sum Games," Working Paper Series in Economics and Finance 641, Stockholm School of Economics.
- Fook Kong & Berç Rustem, 2013. "Welfare-maximizing correlated equilibria using Kantorovich polynomials with sparsity," Journal of Global Optimization, Springer, vol. 57(1), pages 251-277, September.
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