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Parimutuel betting under asymmetric information

Author

Listed:
  • Frédéric Koessler

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Charles Noussair

    (Department of Economics - Emory University [Atlanta, GA])

  • Anthony Ziegelmeyer

    (Strategic Interaction Group [Jena] - Max Planck Institute of Economics - Max-Planck-Gesellschaft)

Abstract

This paper examines simple parimutuel betting games under asymmetric information, with particular attention to differences between markets in which bets are submitted simultaneously versus sequentially. In the simultaneous parimutuel betting market, all (symmetric and asymmetric) Bayesian-Nash equilibria are generically characterized as a function of the number of bettors and the quality of their private information. There always exists a separating equilibrium, in which all bettors follow their private signals. This equilibrium is unique if the number of bettors is sufficiently large. In the sequential framework, earlier bets have information externalities, because they may reveal private information of bettors. They also have payoff externalities, because they affect the betting odds. One effect of these externalities is that the separating equilibrium disappears if the number of betting periods is sufficiently large.

Suggested Citation

  • Frédéric Koessler & Charles Noussair & Anthony Ziegelmeyer, 2008. "Parimutuel betting under asymmetric information," Post-Print halshs-00754275, HAL.
    • Handle: RePEc:hal:journl:halshs-00754275
    DOI: 10.1016/j.jmateco.2006.03.002
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    6. Frédéric Koessler & Charles Noussair & Anthony Ziegelmeyer, 2007. "Information Aggregation and Beliefs in Experimental Parimutuel Betting Markets," Papers on Strategic Interaction 2005-12, Max Planck Institute of Economics, Strategic Interaction Group.
    7. Eyster, Erik & Galeotti, Andrea & Kartik, Navin & Rabin, Matthew, 2014. "Congested observational learning," Games and Economic Behavior, Elsevier, vol. 87(C), pages 519-538.
    8. Frederic Koessler & Ch. Noussair & A. Ziegelmeyer, 2005. "Individual Behavior and Beliefs in Experimental Parimutuel Betting Markets," THEMA Working Papers 2005-08, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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    10. Koessler, Frédéric & Noussair, Charles & Ziegelmeyer, Anthony, 2008. "Parimutuel betting under asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 733-744, July.
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    18. Erhan Bayraktar & Alexander Munk, 2016. "High-Roller Impact: A Large Generalized Game Model of Parimutuel Wagering," Papers 1605.03653, arXiv.org, revised Mar 2017.
    19. Ottaviani, Marco & Sørensen, Peter Norman, 2003. "Late Informed Betting and the Favourite-Longshot Bias," CEPR Discussion Papers 4092, C.E.P.R. Discussion Papers.
    20. Linardi, Sera, 2017. "Accounting for noise in the microfoundations of information aggregation," Games and Economic Behavior, Elsevier, vol. 101(C), pages 334-353.
    21. Koessler, Frédéric & Noussair, Charles & Ziegelmeyer, Anthony, 2012. "Information aggregation and belief elicitation in experimental parimutuel betting markets," Journal of Economic Behavior & Organization, Elsevier, vol. 83(2), pages 195-208.

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    More about this item

    Keywords

    Parimutuel betting; Asymmetric information; Information aggregation; Herd behavior; Contrarian behavior;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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