Universality of Nash Components
AbstractWe show that Nash equilibrium components are universal for the collection of connected polyhedral sets. More precisely for every polyhedral set we construct a so-called binary game — a common interest game whose common payoff to the players is at most equal to one—whose success set (the set of strategy profiles where the maximal payoff of one is indeed achieved) is homeomorphic to the given polyhedral set. Since compact semi-algebraic sets can be triangulated, a similar result follows for the collection of connected compact semi-algebraic sets.
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Bibliographic InfoPaper provided by Exeter University, Department of Economics in its series Discussion Papers with number 1205.
Date of creation: 2012
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Strategic form games; Nash equilibrium; Nash component; topology.;
Other versions of this item:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-10-27 (All new papers)
- NEP-GTH-2012-10-27 (Game Theory)
- NEP-HPE-2012-10-27 (History & Philosophy of Economics)
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- DEMICHELIS, Stefano & RITZBERGER, Klaus, 2000.
"From evolutionary to strategic stability,"
CORE Discussion Papers
2000059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Vermeulen, Dries & Jansen, Mathijs, 2005.
"On the computation of stable sets for bimatrix games,"
Journal of Mathematical Economics,
Elsevier, vol. 41(6), pages 735-763, September.
- Vermeulen,Dries & Jansen,Mathijs, 2004. "On the computation of stable sets for bimatrix games," Research Memorandum 020, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- McKelvey, Richard D. & McLennan, Andrew, 1994.
"The Maximal Number of Regular Totally Mixed Nash Equilibria,"
865, California Institute of Technology, Division of the Humanities and Social Sciences.
- McKelvey, Richard D. & McLennan, Andrew, 1997. "The Maximal Number of Regular Totally Mixed Nash Equilibria," Journal of Economic Theory, Elsevier, vol. 72(2), pages 411-425, February.
- McKelvey, R.D. & McLennan, A., 1994. "The Maximal Number of Regular Totaly Mixed Nash Equilibria," Papers 272, Minnesota - Center for Economic Research.
- Balkenborg, Dieter & Schlag, Karl H., 2007. "On the evolutionary selection of sets of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 133(1), pages 295-315, March.
- Srihari Govindan & Arndt von Schemde & Bernhard von Stengel, 2004. "Symmetry and p-Stability," International Journal of Game Theory, Springer, vol. 32(3), pages 359-369, 06.
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