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The Logit Equilibrium: A Perspective on Intuitive Behavioral Anomalies

Author

Listed:
  • Simon P. Anderson

    () (Department of Economics, University of Virginia)

  • Jacob K. Goeree

    () (Department of Economics, University of Virginia)

  • Charles A. Holt

    () (Department of Economics, University of Virginia)

Abstract

This paper considers a class of models in which rank-based payoffs are sensitive to “noise” in decision making. Examples include auctions, price competition, coordination, and location games. Observed laboratory behavior in these games is often responsive to the asymmetric costs associated with deviations from the Nash equilibrium. These payoff-asymmetry effects are incorporated in an approach that introduces noisy behavior via a logit probabilistic choice function. In the resulting logit equilibrium, behavior is characterized by a probability distribution that satisfies a “rational expectations” consistency condition: The beliefs that determine players' expected payoffs match the decision distributions that arise from applying the logit rule to those expected payoffs. We prove existence of a unique, symmetric logit equilibrium and derive comparative statics results. The paper provides a unified perspective on many recent laboratory studies of games in which Nash equilibrium predictions are inconsistent with both intuition and experimental evidence.

Suggested Citation

  • Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 2002. "The Logit Equilibrium: A Perspective on Intuitive Behavioral Anomalies," Southern Economic Journal, Southern Economic Association, vol. 69(1), pages 21-47, July.
  • Handle: RePEc:sej:ancoec:v:69:1:y:2002:p:21-47
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    References listed on IDEAS

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    Cited by:

    1. Ed Hopkins & Tatiana Kornienko, 2004. "Running to Keep in the Same Place: Consumer Choice as a Game of Status," American Economic Review, American Economic Association, vol. 94(4), pages 1085-1107, September.
    2. C. Monica Capra & Susana Cabrera & Rosario Gómez, 2003. "The Effects of Common Advice on One-shot Traveler’s Dilemma Games: Explaining Behavior through an Introspective Model with Errors," Economic Working Papers at Centro de Estudios Andaluces E2003/17, Centro de Estudios Andaluces.
    3. Schmutzler, Armin, 2011. "A unified approach to comparative statics puzzles in experiments," Games and Economic Behavior, Elsevier, vol. 71(1), pages 212-223, January.
    4. Susana Cabrera & C. Monica Capra & Rosario Gomez, 2005. "Introspection in One-shot Traveler's Dilemma Games," Emory Economics 0504, Department of Economics, Emory University (Atlanta).
    5. Gneezy, Uri & Smorodinsky, Rann, 2006. "All-pay auctions--an experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 61(2), pages 255-275, October.
    6. repec:eee:indorg:v:54:y:2017:i:c:p:175-191 is not listed on IDEAS
    7. C. Monica Capra & Jacob K Goeree & Rosario Gomez & Charles A Holt, 2002. "Learning and Noisy Equilibrium Behavior in an Experimental Study of Imperfect Price Competition," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(3), pages 613-636, August.
    8. Erlei, Mathias, 2008. "Heterogeneous social preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 436-457, March.
    9. James Costain & Anton Nakov, 2013. "Logit price dynamics," Working Papers 1301, Banco de España;Working Papers Homepage.
    10. repec:spr:annopr:v:239:y:2016:i:2:d:10.1007_s10479-014-1647-x is not listed on IDEAS
    11. Benaïm, Michel & Hofbauer, Josef & Hopkins, Ed, 2009. "Learning in games with unstable equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1694-1709, July.
    12. Costain, James & Nakov, Anton, 2015. "Precautionary price stickiness," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 218-234.
    13. Golman, Russell, 2012. "Homogeneity bias in models of discrete choice with bounded rationality," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 1-11.
    14. Ispano, Alessandro, 2015. "A note on the equilibria of the unbounded traveler’s dilemma," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 52-54.
    15. Subhasish Dugar & Arnab Mitra, 2016. "Bertrand Competition With Asymmetric Marginal Costs," Economic Inquiry, Western Economic Association International, vol. 54(3), pages 1631-1647, July.
    16. Yefen Chen & Xuanming Su & Xiaobo Zhao, 2012. "Modeling Bounded Rationality in Capacity Allocation Games with the Quantal Response Equilibrium," Management Science, INFORMS, vol. 58(10), pages 1952-1962, October.
    17. Smith, Angela M., 2011. "An experimental study of exclusive contracts," International Journal of Industrial Organization, Elsevier, vol. 29(1), pages 4-13, January.
    18. Jim Engle-Warnick & Ed Hopkins, 2006. "A Simple Test of Learning Theory," Levine's Bibliography 321307000000000724, UCLA Department of Economics.
    19. Dorothea Kübler & Georg Weizsäcker, 2004. "Limited Depth of Reasoning and Failure of Cascade Formation in the Laboratory," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 425-441.
    20. Tilman Becker & Michael Carter & Jörg Naeve, 2005. "Experts Playing the Traveler's Dilemma," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 252/2005, Department of Economics, University of Hohenheim, Germany.
    21. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    22. repec:pit:wpaper:377 is not listed on IDEAS
    23. repec:spr:etbull:v:3:y:2015:i:1:d:10.1007_s40505-014-0038-4 is not listed on IDEAS

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