Game Dynamics and Nash Equilibria
If a game has a unique Nash equilibrium, then this equilibrium is arguably the solution of the game from the refinement's literature point of view. However, it might be that for almost all initial conditions, all strategies in the support of this equilibrium are eliminated by the replicator dynamics and the best-reply dynamics.
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- Viossat, Yannick, 2007.
"The replicator dynamics does not lead to correlated equilibria,"
Games and Economic Behavior,
Elsevier, vol. 59(2), pages 397-407, May.
- Yannick Viossat, 2007. "The replicator dynamics does not lead to correlated equilibria," Post-Print hal-00664293, HAL.
- repec:dau:papers:123456789/1119 is not listed on IDEAS
- Gaunersdorfer Andrea & Hofbauer Josef, 1995.
"Fictitious Play, Shapley Polygons, and the Replicator Equation,"
Games and Economic Behavior,
Elsevier, vol. 11(2), pages 279-303, November.
- A. Gaunersdorfer & J. Hofbauer, 2010. "Fictitious Play, Shapley Polygons and the Replicator Equation," Levine's Working Paper Archive 438, David K. Levine.
- Viossat, Yannick, 2008.
"Evolutionary dynamics may eliminate all strategies used in correlated equilibrium,"
Mathematical Social Sciences,
Elsevier, vol. 56(1), pages 27-43, July.
- Viossat, Yannick, 2006. "Evolutionary dynamics may eliminate all strategies used in correlated equilibrium," SSE/EFI Working Paper Series in Economics and Finance 629, Stockholm School of Economics, revised 21 Jun 2006.
- Yannick Viossat, 2008. "Evolutionary Dynamics May Eliminate All Strategies Used in Correlated Equilibria," Post-Print hal-00360756, HAL.
- Yannick Viossat, 2011. "Deterministic monotone dynamics and dominated strategies," Working Papers hal-00636620, HAL.
- Sergiu Hart, 2004.
122247000000000471, UCLA Department of Economics.
- Sergiu Hart, 2005. "Adaptive Heuristics," Econometrica, Econometric Society, vol. 73(5), pages 1401-1430, 09.
- Sergiu Hart, 2013. "Adaptive Heuristics," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 11, pages 253-287 World Scientific Publishing Co. Pte. Ltd..
- Sandholm, William H. & Hofbauer, Josef, 2011. "Survival of dominated strategies under evolutionary dynamics," Theoretical Economics, Econometric Society, vol. 6(3), September.
- Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
- Josef Hofbauer & Sylvain Sorin & Yannick Viossat, 2009. "Time Average Replicator and Best Reply Dynamics," Post-Print hal-00360767, HAL.
- repec:dau:papers:123456789/1061 is not listed on IDEAS
- L. Samuelson & J. Zhang, 2010. "Evolutionary Stability in Asymmetric Games," Levine's Working Paper Archive 453, David K. Levine.
- repec:dau:papers:123456789/1014 is not listed on IDEAS
- Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
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