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Parimutuel Betting under Asymmetric Information

Author

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  • Frederic Koessler
  • Charles Noussair
  • Anthony Ziegelmeyer

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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

  • Frederic Koessler & Charles Noussair & Anthony Ziegelmeyer, 2006. "Parimutuel Betting under Asymmetric Information," Papers on Strategic Interaction 2006-05, Max Planck Institute of Economics, Strategic Interaction Group.
  • Handle: RePEc:esi:discus:2006-05
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    References listed on IDEAS

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    4. Eyster, Erik & Galeotti, Andrea & Kartik, Navin & Rabin, Matthew, 2014. "Congested observational learning," Games and Economic Behavior, Elsevier, vol. 87(C), pages 519-538.
    5. 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.
    6. 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.
    7. repec:esx:essedp:706 is not listed on IDEAS
    8. Lambert, Nicolas S. & Langford, John & Wortman Vaughan, Jennifer & Chen, Yiling & Reeves, Daniel M. & Shoham, Yoav & Pennock, David M., 2015. "An axiomatic characterization of wagering mechanisms," Journal of Economic Theory, Elsevier, vol. 156(C), pages 389-416.
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    12. Erhan Bayraktar & Alexander Munk, 2016. "High-Roller Impact: A Large Generalized Game Model of Parimutuel Wagering," Papers 1605.03653, arXiv.org, revised Mar 2017.
    13. Ottaviani, Marco & Sørensen, Peter Norman, 2003. "Late Informed Betting and the Favourite-Longshot Bias," CEPR Discussion Papers 4092, C.E.P.R. Discussion Papers.
    14. Meixing DAI, 2007. "A two-pillar strategy to keep inflation expectations at bay: A basic theoretical framework," Working Papers of BETA 2007-20, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
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    16. Linardi, Sera, 2017. "Accounting for noise in the microfoundations of information aggregation," Games and Economic Behavior, Elsevier, vol. 101(C), pages 334-353.
    17. 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.
    18. Giovanni Dosi & Patrick Llerena & Mauro Sylos Labini, 2005. "Science-Technology-Industry Links and the ”European Paradox”: Some Notes on the Dynamics of Scientific and Technological Research in Europe," LEM Papers Series 2005/02, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    19. 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.
    20. Stéphane Betrand & Kene Boun My & Alban Verchère, 2005. "Faire émerger la coopération internationale : une approche expérimentale comparée du bilatéralisme et du multilatéralisme," Working Papers of BETA 2005-13, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    21. Nicolas Carayol & Pascale Roux, 2006. "A strategic model of complex networks formation," Working Papers of BETA 2006-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    22. Tapas K. Mishra, 2006. "A Further Look into the Demography-based GDP Forecasting Method," Working Papers of BETA 2006-17, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    23. Li Qin & Eleftherios Spyromitros & Moïse Sidiropoulos, 2007. "Monetary Policy with Uncertain Central Bank Preferences for Robustness," Working Papers of BETA 2007-23, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

    More about this item

    Keywords

    Parimutuel betting; Asymmetric information; Information aggregation; Herd behavior; Contrarian behavior;

    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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