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Imitation and the emergence of Nash equilibrium play in games with many players
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Cartwright, Edward (2003) Imitation and the emergence of Nash equilibrium play in games with many players. Working Paper. University of Warwick, Department of Economics, Coventry.
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Official URL: http://www2.warwick.ac.uk/fac/soc/economics/resear...
Abstract
We model a learning dynamic in which players imitate and innovate. Of interest is to question whether Nash equilibrium play emerges, and if so, the role that imitation plays in this emergence. Our main result provides a general class of coordination games for which approximate Nash equilibrium play does emerge. Important conditions include that players imitate "similar" individuals. The role of imitation in learning is discussed in the context of two examples where it is shown that imitation can lead to pareto superio outcomes.
| Item Type: | Working or Discussion Paper (Working Paper) |
|---|---|
| Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
| Library of Congress Subject Headings (LCSH): | Equilibrium (Economics), Imitation, Convergence (Economics), Group theory, Game theory |
| Series Name: | Warwick economic research papers |
| Publisher: | University of Warwick, Department of Economics |
| Place of Publication: | Coventry |
| Date: | October 2003 |
| Number: | No.684 |
| Number of Pages: | 29 |
| Status: | Not Peer Reviewed |
| Access rights to Published version: | Open Access |
| References: | [1] Alos-Ferrer, C., A.B. Ania and K.R. Schenk-Hoppe, 2000, An evolutionary model of Bertrand oligopoly, Games and Economic Behaviour, 33: 1-19. [2] Asch, S., 1952 Social Psychology, Prentice Hall, New York. [3] Bernheim, B.D., 1994, A Theory of conformity, Journal of Political Economy, 102: 841-877. [4] Blume, L., 1995, The Statistical Mechanics of Best-Response Strategy Revision, Games and Economic Behavior, 11: 111-145. [5] Cartwright, E., 2003, Learning to play approximate Nash equilibria in games with many players, University of Warwick Working Paper no. 671. [6] Cartwright, E. and M. H. Wooders, 2003, Social conformity and bounded rationality in games with many players, University of Warwick Working Paper no. 672. [7] Clark, A. and A. Oswald, 1996, Satisfaction and Comparison Income, Journal of Public Economics 61: 359-381. [8] Deutsch, M. and H.B. Gerard, 1955, A study of normative and informational social influences upon individual judgement, Journal of Abnormal and Social Psychology 51: 629-636. [9] Dutta, B. and M. Jackson (Eds), 2003, Networks and Groups: Models of Strategic Formation, Springer-Verlag, Heidelberg. [10] Ellison, G. and D. Fudenberg, 1993, Rules of thumb for social learning, Journal of Political Economy 101: 612-643. [11] Ellison, G. and D. Fudenberg, 1995, Word-of-mouth communication and social learning, Quarterly Journal of Economics 110: 93-125. [12] Fudenberg, D. and D.K. Levine, 1998, The Theory of Learning in Games, MIT Press. [13] Gale, D. and R. Rosenthal, 1999, Experimentation, imitation and strategic stability, Journal of Economic Theory, 84: 1-40. [14] Gigerenzer, G., P.M. Todd and the ABC Research Group, 1999, Simple Heuristics That Make Us Smart, Oxford University Press. [15] Granovetter, M., 1973, The strength of weak ties, American Journal of Sociology, 83: 1420-1443. [16] Gross, R., 1996, Psychology: The Science of Mind and Behaviour, Hoddon and Stoughton. [17] Hart, S., 2003, ‘Uncoupled dynamics do not lead to Nash equilibrium, working paper. [18] Jones, S., 1984, The Economics of Conformism, Oxford: Blackwell. [19] Kandori, M., G.J. Mailath and R. Rob, 1993, Learning, mutation and long run equilibria in games, Econometrica 61: 29-56. [20] Kirman, A., 1993, Ants, rationality, and recruitment, Quarterly Journal of Economics, 137-156. [21] Kuhn, T., 1996, The Structure of Scientific Revolutions, Third Edition, The University of Chicago Press. [22] Levine, D. and W.Pesendorfer, 2000, Evolution through imitation in a single population, Working Paper. [23] Levine, D. and W.Pesendorfer, 2001, The evolution of cooperation through imitation, Working Paper. [24] Morris, S., 2000, Contagion, Review of Economic Studies, 67: 57-78. [25] Offerman, T., J. Potters and J. Sonnemans, 2002, Imitation and belief learning in an oligopoly experiment, Review of Economic Studies, 69: 973-997. [26] Rapoport, A, D. Seale and E. Winter, 2001, Coordination and learning behavior in large groups with asymmetric players, Games and Economic Behavior, 1-26. [27] Ritzberger, K. and J.W. Weibull, 1995, Evolutionary selection in normal form games, Econometrica, 63: 1371-1399. [28] Schlag, K.H., 1998, Why imitate, and if so, how? A bounded rational approach to multi-armed bandits. Journal of Economic Theory, 78: 191-209. [29] Schlag, K.H., 1999, Which one should I imitate? Journal of Mathematical Economics, 31: 493-522. [30] Selten, R., 1998, Features of experimentally observed bounded rationality, European Economic Review, 42: 413-436. [31] Selten, R. and J. Apesteguia, 2002, Experimentally observed imitation and cooperation in price competition on the circle, University of Bonn Economic Discussion Paper 35-2002. [32] Selten, R. and A. Ostmann, 2000, Imitation Equilibrium, University of Bonn Economic Discussion Paper 16-2000. [33] Vega-Redondo, F., 1997, The evolution of Walrasian behavior, Econometrica, 65: 375-384. [34] Watts, D., 1999, Small Worlds, Princeton University Press. [35] Wooders, M., E.J. Cartwright and R. Selten, 2003, Social Conformity in Games with Many Players, University of Warwick working paper no. 589. [36] Young, H.P., 1993, The Evolution of Conventions, Econometrica, 61: 57-84. [37] Young, H.P., 2001, Individual Strategy and Social Structure, Princeton University Press. [38] Ziman, J., 2000, Technological Innovation as an Evolutionary Process, Cambridge University Press. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/1506 |
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