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Sequential Equilibrium in Monotone Games: Theory-Based Analysis of Experimental Data

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  • Syngjoo Choi
  • Douglas Gale
  • Shachar Kariv

Abstract

A monotone game is an extensive-form game with complete information, simultaneous moves and an irreversibility structure on strategies. It captures a variety of situations in which players make partial commitments and allows us to characterize conditions under which equilibria result in socially desirable outcomes. However, since the game has many equilibrium outcomes, the theory lacks predictive power. To produce stronger predictions, one can restrict attention to the set of sequential equilibria, or Markov equilibria, or symmetric equilibria, or pure-strategy equilibria. This paper explores the relationship between equilibrium behavior in a class of monotone games, namely voluntary contribution games, and the behavior of human subjects in an experimental setting. Several key features of the symmetric Markov perfect equilibrium (SMPE) are consistent with the data. To judge how well the SMPE fits the data, we estimate a model of Quantal Response Equilibrium (QRE) [R. McKelvey, T. Palfrey, Quantal response equilibria for normal form games, Games Econ. Behav. 10 (1995) 6-38; R. McKelvey, T. Palfrey, Quantal response equilibria for extensive form games, Exp. Econ. 1 (1998) 9-41] and find that the decision rules of the QRE model are qualitatively very similar to the empirical choice probabilities.
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Suggested Citation

  • Syngjoo Choi & Douglas Gale & Shachar Kariv, 2006. "Sequential Equilibrium in Monotone Games: Theory-Based Analysis of Experimental Data," Levine's Bibliography 784828000000000278, UCLA Department of Economics.
    • Handle: RePEc:cla:levrem:784828000000000278
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    File URL: http://socrates.berkeley.edu/~kariv/CGK_III.pdf
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    References listed on IDEAS

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    1. Leslie M. Marx & Steven A. Matthews, 2000. "Dynamic Voluntary Contribution to a Public Project," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 327-358.
    2. Duffy, John & Ochs, Jack & Vesterlund, Lise, 2007. "Giving little by little: Dynamic voluntary contribution games," Journal of Public Economics, Elsevier, vol. 91(9), pages 1708-1730, September.
    3. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
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    6. James Andreoni, 1998. "Toward a Theory of Charitable Fund-Raising," Journal of Political Economy, University of Chicago Press, vol. 106(6), pages 1186-1213, December.
    7. Richard McKelvey & Thomas Palfrey, 2015. "Erratum to: Quantal response equilibria for extensive form games," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 762-763, December.
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