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Learning to Play Nash from the Best

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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. Schlag, Karl H., 1999. "Which one should I imitate?," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 493-522, May.
    3. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    4. Dixon, Huw D. & Sbriglia, Patrizia & Somma, Ernesto, 2006. "Learning to collude: An experiment in convergence and equilibrium selection in oligopoly," Research in Economics, Elsevier, vol. 60(3), pages 155-167, September.
    5. 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.
    6. 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.
    7. Squintani, Francesco & Valimaki, Juuso, 2002. "Imitation and Experimentation in Changing Contests," Journal of Economic Theory, Elsevier, vol. 104(2), pages 376-404, June.
    8. Yan Chen & Robert Gazzale, 2004. "When Does Learning in Games Generate Convergence to Nash Equilibria? The Role of Supermodularity in an Experimental Setting," American Economic Review, American Economic Association, vol. 94(5), pages 1505-1535, December.
    9. Reinhard Selten & Axel Ostmann, 2001. "Imitation Equilibrium," Homo Oeconomicus, Institute of SocioEconomics, vol. 18, pages 111-149.
    10. Jan Potters & Sigrid Suetens, 2009. "Cooperation in Experimental Games of Strategic Complements and Substitutes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 1125-1147.
    11. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 817-868.
    12. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 4.
    13. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 2.
    14. 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.
    15. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    16. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    17. Ilan Eshel & Larry Samuelson & Avner Shaked, "undated". "Altruists Egoists and Hooligans in a Local Interaction Model," ELSE working papers 005, ESRC Centre on Economics Learning and Social Evolution.
    18. Eshel, Ilan & Samuelson, Larry & Shaked, Avner, 1998. "Altruists, Egoists, and Hooligans in a Local Interaction Model," American Economic Review, American Economic Association, vol. 88(1), pages 157-179, March.
    19. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    20. 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.
    21. Iris Bohnet & Richard Zeckhauser, 2004. "Social Comparisons in Ultimatum Bargaining," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 495-510, October.
    22. 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.
    23. Ai, Chunrong & Norton, Edward C., 2003. "Interaction terms in logit and probit models," Economics Letters, Elsevier, vol. 80(1), pages 123-129, July.
    24. Fernando Vega-Redondo & Frédéric Palomino, 1999. "Convergence of aspirations and (partial) cooperation in the prisoner's dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 465-488.
    25. 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.
    26. 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.
    27. Selten, Reinhard & Apesteguia, Jose, 2005. "Experimentally observed imitation and cooperation in price competition on the circle," Games and Economic Behavior, Elsevier, vol. 51(1), pages 171-192, April.
    28. Vesna Prasnikar & Alvin E. Roth, 1992. "Considerations of Fairness and Strategy: Experimental Data from Sequential Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 865-888.
    29. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 1999. "Learning in Cournot Oligopoly--An Experiment," Economic Journal, Royal Economic Society, vol. 109(454), pages 80-95, March.
    30. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 6.
    31. Theo Offerman & Jan Potters & Joep Sonnemans, 2002. "Imitation and Belief Learning in an Oligopoly Experiment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 973-997.
    32. 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.
    33. 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.
    34. Smith, Vernon L, 1979. " An Experimental Comparison of Three Public Good Decision Mechanisms," Scandinavian Journal of Economics, Wiley Blackwell, vol. 81(2), pages 198-215.
    35. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 7.
    36. 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.
    37. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    38. Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September.
    39. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 1.
    40. 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.
    41. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
    42. 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.
    43. Erev, Ido & Rapoport, Amnon, 1998. "Coordination, "Magic," and Reinforcement Learning in a Market Entry Game," Games and Economic Behavior, Elsevier, vol. 23(2), pages 146-175, May.
    44. Armantier, Olivier, 2004. "Does observation influence learning?," Games and Economic Behavior, Elsevier, vol. 46(2), pages 221-239, February.
    45. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 3.
    46. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    47. 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.
    48. 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.
    49. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 8.
    50. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 5.
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    Cited by:

    1. Potters, Jan & Suetens, Sigrid, 2020. "Optimization incentives in dilemma games with strategic complementarity," European Economic Review, Elsevier, vol. 127(C).
    2. Mermer, Ayşe Gül & Müller, Wieland & Suetens, Sigrid, 2021. "Cooperation in infinitely repeated games of strategic complements and substitutes," Journal of Economic Behavior & Organization, Elsevier, vol. 188(C), pages 1191-1205.
    3. Ayse Gül Mermer & Wieland Müller & Sigrid Suetens, 2016. "Cooperation in Indefinitely Repeated Games of Strategic Complements and Substitutes," Vienna Economics Papers 1603, University of Vienna, Department of Economics.

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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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