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 homeomorphic 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.
|Date of creation:||01 Feb 2000|
|Contact details of provider:|| Postal: Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium)|
Fax: +32 10474304
Web page: http://www.uclouvain.be/core
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Samuelson, L. & Zhang, J., 1991.
"Evolutionary Stability in Asymmetric Games,"
9132, Tilburg - Center for Economic Research.
- Ed Hopkins, 1997.
"A Note on Best Response Dynamics,"
ESE Discussion Papers
3, Edinburgh School of Economics, University of Edinburgh.
- DE MICHELIS, Stefano & GERMANO, Fabrizio, 2000.
"On the indices of zeros of nash fields,"
CORE Discussion Papers
2000017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Drew Fudenberg & David Kreps, 2010.
"Learning Mixed Equilibria,"
Levine's Working Paper Archive
415, David K. Levine.
- 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;Game Theory Society, vol. 23(3), pages 207-236.
- Ritzberger, Klaus & Weibull, Jorgen W, 1995.
"Evolutionary Selection in Normal-Form Games,"
Econometric Society, vol. 63(6), pages 1371-1399, November.
- Robert Wilson & Srihari Govindan, 1997. "Uniqueness of the index for Nash equilibria of two-player games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(3), pages 541-549.
- E. Kohlberg & J.-F. Mertens, 1998.
"On the Strategic Stability of Equilibria,"
Levine's Working Paper Archive
445, David K. Levine.
- Benaim, Michel & Hirsch, Morris W., 1999. "Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 36-72, October.
- Oechssler, Jorg, 1997.
"An Evolutionary Interpretation of Mixed-Strategy Equilibria,"
Games and Economic Behavior,
Elsevier, vol. 21(1-2), pages 203-237, October.
- Joerg Oechssler, 1994. "An Evolutionary Interpretation Of Mixed-Strategy Equilibria," Game Theory and Information 9404001, EconWPA.
- (ed.), 1992. "Index," Books, Edward Elgar Publishing, number 1241.
- 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.
When requesting a correction, please mention this item's handle: RePEc:cor:louvco:2000010. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alain GILLIS)
If references are entirely missing, you can add them using this form.