Stochastic adaptation in finite games played by heterogeneous populations
We analyze stochastic adaptation in finite n-player games played by heterogeneous populations containing best repliers, better repliers, and imitators. Individuals select strategies by applying a personal learning rule to a sample from a finite history of past play. We give sufficient conditions for convergence to minimal closed sets under better replies and selection of a Pareto dominant such set. Finally, we demonstrate that the stochastically stable states are sensitive to the sample size by showing convergence to the risk-dominant equilibrium for sufficiently small sample size and to the Pareto-dominant equilibrium for sufficiently large sample size in 2x2 coordination games.
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- Basu, K. & Weibull, J., 1990.
"Strategy Subsets Closed Under Rational Behavior,"
62, Princeton, Woodrow Wilson School - Discussion Paper.
- Josephson, Jens & Matros, Alexander, 2000.
"Stochastic Imitation in Finite Games,"
SSE/EFI Working Paper Series in Economics and Finance
363, Stockholm School of Economics, revised 26 Nov 2002.
- Josephson, Jens, 2008.
"A numerical analysis of the evolutionary stability of learning rules,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 32(5), pages 1569-1599, May.
- Josephson, Jens, 2001. "A Numerical Analysis of the Evolutionary Stability of Learning Rules," SSE/EFI Working Paper Series in Economics and Finance 474, Stockholm School of Economics.
- repec:att:wimass:9530 is not listed on IDEAS
- Angelo Antoci & Antonio Gay & Massimiliano Landi & Pier Luigi Sacco, 2007.
"Global Analysis of an Expectations Augmented Evolutionary Dynamics,"
25-2007, Singapore Management University, School of Economics.
- Antoci, Angelo & Gay, Antonio & Landi, Massimiliano & Sacco, Pier Luigi, 2008. "Global analysis of an expectations augmented evolutionary dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3877-3894, December.
- Massimiliano Landi, 2007. "Global Analysis of an Expectations Augmented Evolutionary Dynamics," Development Economics Working Papers 22463, East Asian Bureau of Economic Research.
- Burkhard Hehenkamp & Oddvar Kaarbøe, 2004.
"Imitators and Optimizers in a Changing Environment,"
Discussion Papers in Economics
02_01, University of Dortmund, Department of Economics.
- Hehenkamp, Burkhard & Kaarbøe, Oddvar M., 2003. "Imitators and Optimizers in a Changing Environment," Working Papers in Economics 03/03, University of Bergen, Department of Economics.
- Saez-Marti, Maria & Weibull, Jorgen W., 1999.
"Clever Agents in Young's Evolutionary Bargaining Model,"
Journal of Economic Theory,
Elsevier, vol. 86(2), pages 268-279, June.
- Weibull, Jörgen W. & Saez-Marti, Maria, 1998. "Clever Agents in Young's Evolutionary Bargaining Model," Working Paper Series 507, Research Institute of Industrial Economics.
- Saez-Marti, Maria & Weibull, Jörgen W., 1998. "Clever agents in Young's evolutionary bargaining model," SSE/EFI Working Paper Series in Economics and Finance 281, Stockholm School of Economics.
- Droste, E. & Hommes, C.H. & Tuinstra, J., 1999.
"Endogenous Fluctuations under Evolutionary Pressure in Cournot Competition,"
CeNDEF Working Papers
99-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Droste, Edward & Hommes, Cars & Tuinstra, Jan, 2002. "Endogenous fluctuations under evolutionary pressure in Cournot competition," Games and Economic Behavior, Elsevier, vol. 40(2), pages 232-269, August.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Kaniovski, Yuri M. & Kryazhimskii, Arkadii V. & Young, H. Peyton, 2000. "Adaptive Dynamics in Games Played by Heterogeneous Populations," Games and Economic Behavior, Elsevier, vol. 31(1), pages 50-96, April.
- Jens Josephson, 2008. "Stochastic better-reply dynamics in finite games," Economic Theory, Springer, vol. 35(2), pages 381-389, May.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- J. Thijssen, 2005. "Nearly-complete Decomposability and Stochastic Stability with an Application to Cournot Oligopoly," Trinity Economics Papers tep6, Trinity College Dublin, Department of Economics.
- Juang, Wei-Torng, 2002. "Rule Evolution and Equilibrium Selection," Games and Economic Behavior, Elsevier, vol. 39(1), pages 71-90, April.
- Dawid, Herbert, 2007. "Evolutionary game dynamics and the analysis of agent-based imitation models: The long run, the medium run and the importance of global analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2108-2133, June.
- Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September.
- Matros, Alexander, 2000.
"Clever agents in adaptive learning,"
SSE/EFI Working Paper Series in Economics and Finance
403, Stockholm School of Economics.
- Carlos Alós-Ferrer, 2001.
"Cournot versus Walras in Dynamic Oligopolies with Memory,"
Vienna Economics Papers
0110, University of Vienna, Department of Economics.
- Alos-Ferrer, Carlos, 2004. "Cournot versus Walras in dynamic oligopolies with memory," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 193-217, February.
- K. Ritzberger & J. Weibull, 2010.
"Evolutionary Selection in Normal-Form Games,"
Levine's Working Paper Archive
452, David K. Levine.
- Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, June.
- Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
- Van Huyck, John, 2008. "Emergent Conventions in Evolutionary Games," Handbook of Experimental Economics Results, Elsevier.
- Kaarboe, O.M. & Tieman, A.F., 1999. "Equilibrium Selection under Different Learning Modes in Supermodular Games," Norway; Department of Economics, University of Bergen 1299, Department of Economics, University of Bergen.
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