On Knots and Dynamics in Games
We extend Kohlberg and Mertens' (1986) structure theorem concerning the Nash equilibrium correspondence to show that its graph is not only homomorphic to the underlying space of games but that it is also unknotted. This is then shown to have some basic consequences for dynamics whose rest points are Nash equilibria.
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|Date of creation:||2000|
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- Ritzberger, Klaus & Weibull, Jörgen W., 1993.
"Evolutionary Selection in Normal Form Games,"
Working Paper Series
383, Research Institute of Industrial Economics.
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Levine's Working Paper Archive
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"A Note on Best Response Dynamics,"
Games and Economic Behavior,
Elsevier, vol. 29(1-2), pages 138-150, October.
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"On the Indices of Zeros of Nash Fields,"
Journal of Economic Theory,
Elsevier, vol. 94(2), pages 192-217, October.
- Drew Fudenberg & David Kreps, 2010.
"Learning Mixed Equilibria,"
Levine's Working Paper Archive
415, David K. Levine.
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- Joerg Oechssler, 1994.
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Game Theory and Information
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9132, Tilburg - Center for Economic Research.
- Robert Wilson & Srihari Govindan, 1997. "Uniqueness of the index for Nash equilibria of two-player games," Economic Theory, Springer, vol. 10(3), pages 541-549.
- Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
- Ritzberger, Klaus, 1994. "The Theory of Normal Form Games form the Differentiable Viewpoint," International Journal of Game Theory, Springer, vol. 23(3), pages 207-36.
- Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Kaniovski Yuri M. & Young H. Peyton, 1995. "Learning Dynamics in Games with Stochastic Perturbations," Games and Economic Behavior, Elsevier, vol. 11(2), pages 330-363, November.
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