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Learning to Play Nash from the Best

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Abstract

I experimentally investigate the effects of the ability to imitate successful others on convergence to the one-shot Nash equilibrium. I study a two-player game (Potters and Suetens Forthcoming) in which a single parameter determines the existence of strategic complementarities. I generally confirm previous findings when learning from others is not possible: games with strategic complementarities converge more robustly to the Nash equilibrium than those without. However, I find the reverse with the ability to learn from successful others as this information significantly improves convergence in games without strategic complementarities but has no effect and possibly a negative effect on games with complementarities.

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  • Robert S. Gazzale, 2009. "Learning to Play Nash from the Best," Department of Economics Working Papers 2009-03, Department of Economics, Williams College.
  • Handle: RePEc:wil:wileco:2009-03
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    1. Apesteguia, Jose & Huck, Steffen & Oechssler, Jorg, 2007. "Imitation--theory and experimental evidence," Journal of Economic Theory, Elsevier, vol. 136(1), pages 217-235, September.
    2. Nick Feltovich & John Duffy, 1999. "Does observation of others affect learning in strategic environments? An experimental study," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(1), pages 131-152.
    3. Pingle, Mark, 1995. "Imitation versus rationality: An experimental perspective on decision making," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 24(2), pages 281-315.
    4. Harstad, Ronald M. & Marrese, Michael, 1982. "Behavioral explanations of efficient public good allocations," Journal of Public Economics, Elsevier, vol. 19(3), pages 367-383, December.
    5. Iris Bohnet & Richard Zeckhauser, 2004. "Social Comparisons in Ultimatum Bargaining," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 495-510, October.
    6. Dixon, Huw David, 2000. "Keeping up with the Joneses: competition and the evolution of collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 223-238, October.
    7. Chen, Yan, 2008. "Incentive-compatible Mechanisms for Pure Public Goods: A Survey of Experimental Research," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 67, pages 625-643, Elsevier.
    8. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    9. Kandori Michihiro & Rob Rafael, 1995. "Evolution of Equilibria in the Long Run: A General Theory and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 383-414, April.
    10. Squintani, Francesco & Valimaki, Juuso, 2002. "Imitation and Experimentation in Changing Contests," Journal of Economic Theory, Elsevier, vol. 104(2), pages 376-404, June.
    11. Armantier, Olivier, 2004. "Does observation influence learning?," Games and Economic Behavior, Elsevier, vol. 46(2), pages 221-239, February.
    12. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    13. Antoni Bosch-DomËnech & Nicolaas J. Vriend, 2003. "Imitation of successful behaviour in cournot markets," Economic Journal, Royal Economic Society, vol. 113(487), pages 495-524, April.
    14. repec:bla:scandj:v:81:y:1979:i:2:p:198-215 is not listed on IDEAS
    15. Offerman, Theo & Sonnemans, Joep, 1998. "Learning by experience and learning by imitating successful others," Journal of Economic Behavior & Organization, Elsevier, vol. 34(4), pages 559-575, March.
    16. Ai, Chunrong & Norton, Edward C., 2003. "Interaction terms in logit and probit models," Economics Letters, Elsevier, vol. 80(1), pages 123-129, July.
    17. Altavilla, Carlo & Luini, Luigi & Sbriglia, Patrizia, 2006. "Social learning in market games," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 632-652, December.
    18. Oechssler, Jorg, 2002. "Cooperation as a result of learning with aspiration levels," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 405-409, November.
    19. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    20. Harrison, Glenn W & McCabe, Kevin A, 1996. "Expectations and Fairness in a Simple Bargaining Experiment," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(3), pages 303-327.
    21. Edward Cartwright, 2007. "Imitation, coordination and the emergence of Nash equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 119-135, September.
    22. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    23. Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September.
    24. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, December.
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    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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