Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game
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- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
- Ed Hopkins & Robert M. Seymour, 2002.
"The Stability of Price Dispersion under Seller and Consumer Learning,"
International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1157-1190, November.
- Ed Hopkins & Robert M Seymour, 2000. "The Stability of Price Dispersion under Seller and Consumer Learning," Edinburgh School of Economics Discussion Paper Series 52, Edinburgh School of Economics, University of Edinburgh.
- Ed Hopkins & Roberty M. Seymour, 2002. "The Stability of Price Dispersion under Seller and Consumer Learning," Game Theory and Information 0203002, University Library of Munich, Germany.
- 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.
- Michael D. Noel, 2007. "Edgeworth Price Cycles: Evidence From The Toronto Retail Gasoline Market," Journal of Industrial Economics, Wiley Blackwell, vol. 55(1), pages 69-92, March.
- Vijay Krishna & Tomas Sjöström, 1998.
"On the Convergence of Fictitious Play,"
Mathematics of Operations Research, INFORMS, vol. 23(2), pages 479-511, May.
- Vijay Krishna & Tomas Sjostrom, 1995. "On the Convergence of Fictitious Play," Harvard Institute of Economic Research Working Papers 1717, Harvard - Institute of Economic Research.
- Vijay Krishna & Tomas Sjostrom, 1995. "On the Convergence of Fictitious Play," Game Theory and Information 9503003, University Library of Munich, Germany.
- Sjostrom, T. & Krishna, V., 1995. "On the Convergence of Ficticious Play," Papers 04-95-07, Pennsylvania State - Department of Economics.
- Vijay Krishna & T. Sjostrom, 2010. "On the Convergence of Fictitious Play," Levine's Working Paper Archive 417, David K. Levine.
- Harris, Christopher, 1998.
"On the Rate of Convergence of Continuous-Time Fictitious Play,"
Games and Economic Behavior, Elsevier, vol. 22(2), pages 238-259, February.
- Christopher Harris, 1994. "On theRate of Convergence of Continuous-Time Fictitious Play," Papers 0052, Boston University - Industry Studies Programme.
- Monderer, Dov & Samet, Dov & Sela, Aner, 1997.
"Belief Affirming in Learning Processes,"
Journal of Economic Theory, Elsevier, vol. 73(2), pages 438-452, April.
- Dov Monderer & Dov Samet & Aner Sela, 1994. "Belief Affirming in Learning Processes," Game Theory and Information 9408002, University Library of Munich, Germany, revised 11 Aug 1994.
- Dov Monderer & Dov Samet & Aner Sela, 2010. "Belief Affirming in Learning Processes," Levine's Working Paper Archive 420, David K. Levine.
- Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
- 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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This paper has been announced in the following NEP Reports:- NEP-GTH-2020-01-13 (Game Theory)
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