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The Logit Equilibrium: A Perspective on Intuitive Behavioral Anomalies

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  • Simon P. Anderson
  • Jacob K. Goeree
  • Charles A. Holt

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, John Wiley & Sons, vol. 69(1), pages 21-47, July.
  • Handle: RePEc:wly:soecon:v:69:y:2002:i:1:p:21-47
    DOI: 10.1002/j.2325-8012.2002.tb00476.x
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    6. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Journal of Political Economy, University of Chicago Press, vol. 106(4), pages 828-853, August.
    7. Charles A. Holt & Jacob K. Goeree, 1999. "Stochastic Game Theory: For Playing Games, Not Just for Doing Theory," Virginia Economics Online Papers 306, University of Virginia, Department of Economics.
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    Cited by:

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    2. 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.
    3. 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.
    4. Erlei, Mathias, 2008. "Heterogeneous social preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 436-457, March.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Gonçalves, António & Zacarias, Marielba & Sousa, Pedro, 2013. "How to Model People Work Practices from Ontological Transactions," Journal of Spatial and Organizational Dynamics, Cinturs - Research Centre for Tourism, Sustainability and Well-being, University of Algarve, vol. 1(1), pages 46-65.

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