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Sequential equilibrium in monotone games: A theory-based analysis of experimental data

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Author Info
Choi, Syngjoo
Gale, Douglas
Kariv, Shachar

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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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Publisher Info
Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 143 (2008)
Issue (Month): 1 (November)
Pages: 302-330
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Handle: RePEc:eee:jetheo:v:143:y:2008:i:1:p:302-330

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Web page: http://www.elsevier.com/locate/inca/622869

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Related research
Keywords: Experiment Monotone games Refinements Pure strategy Mixed strategy Markov perfect Quantal response equilibrium;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Gale, Douglas, 1995. "Dynamic Coordination Games," Economic Theory, Springer, vol. 5(1), pages 1-18, January.
    Other versions:
  2. Marx, Leslie M & Matthews, Steven A, 2000. "Dynamic Voluntary Contribution to a Public Project," Review of Economic Studies, Blackwell Publishing, vol. 67(2), pages 327-58, April.
    Other versions:
  3. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer, vol. 1(1), pages 9-41, June. [Downloadable!] (restricted)
  4. Lise Vesterlund & John Duffy & Jack Ochs, 2004. "Giving Little by Little: Dynamic Voluntary Contribution Games," Econometric Society 2004 North American Winter Meetings 402, Econometric Society.
    Other versions:
  5. Bagnoli, Mark & Lipman, Barton L, 1992. " Private Provision of Public Goods Can Be Efficient," Public Choice, Springer, vol. 74(1), pages 59-78, July.
  6. Roger Lagunoff & Akihiko Matsui, . ""An 'Anti-Folk Theorem' for a Class of Asynchronously Repeated Games''," CARESS Working Papres 95-15, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  7. Gale, Douglas, 2001. "Monotone Games with Positive Spillovers," Games and Economic Behavior, Elsevier, vol. 37(2), pages 295-320, November. [Downloadable!] (restricted)
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  8. McKelvey, Richard D. & Palfrey, Thomas R., 1995. "Quantal Response Equilibria for Extensive Form Games," Working Papers 947, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  9. Admati, Anat R & Perry, Motty, 1991. "Joint Projects without Commitment," Review of Economic Studies, Blackwell Publishing, vol. 58(2), pages 259-76, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Steven A. Matthews, 2006. "Smooth Monotone Contribution Games," PIER Working Paper Archive 06-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
  2. Robert Kurzban & Mary Rigdon & Bart Wilson, 2008. "Incremental approaches to establishing trust," Experimental Economics, Springer, vol. 11(4), pages 370-389, December. [Downloadable!] (restricted)
  3. Steven A. Matthews, 2008. "Achievable Outcomes in Smooth Dynamic Contribution Games," PIER Working Paper Archive 08-028, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
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