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Sequential Parimutuel Games

Author

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  • Feeney, R.
  • King, S.P.

Abstract

In a parimutuel betting system, a successful player's return depends on the number of players who choose the same action. This paper examines a general solution for two-action sequential parimutuel games, and shows how the (unique) equilibrium of such games leads to a simple pattern of behaviour. In particular, we show that there is an advantage to being an early mover, that early players might choose actions with an ex ante low probability of success, and that player action choices can 'flip' with small changes in the parameters of the game.

Suggested Citation

  • Feeney, R. & King, S.P., 2000. "Sequential Parimutuel Games," Department of Economics - Working Papers Series 736, The University of Melbourne.
  • Handle: RePEc:mlb:wpaper:736
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    File URL: http://www.economics.unimelb.edu.au/downloads/wpapers-00-01/736.pdf
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    References listed on IDEAS

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    1. Watanabe, Takahiro & Nonoyama, Hideyuki & Mori, Masao, 1994. "A Model of a General Parimutuel System: Characterizations and Equilibrium Selection," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 237-260.
    2. Asch, Peter & Malkiel, Burton G. & Quandt, Richard E., 1982. "Racetrack betting and informed behavior," Journal of Financial Economics, Elsevier, vol. 10(2), pages 187-194, July.
    3. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    4. Potters, J.J.M. & Wit, J., 1996. "Bets and Bids : Favorite-Longshot Bias and Winner's Curse," Discussion Paper 1996-04, Tilburg University, Center for Economic Research.
    5. Charles R. Plott & Jorgen Wit & Winston C. Yang, 2003. "Parimutuel betting markets as information aggregation devices: experimental results," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 311-351.
    6. Takahiro, Watanabe, 1997. "A parimutuel system with two horses and a continuum of bettors," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 85-100, August.
    7. Sushil Bikhchandani & David Hirshleifer & Ivo Welch, 1998. "Learning from the Behavior of Others: Conformity, Fads, and Informational Cascades," Journal of Economic Perspectives, American Economic Association, vol. 12(3), pages 151-170, Summer.
    8. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    9. Welch, Ivo, 1992. " Sequential Sales, Learning, and Cascades," Journal of Finance, American Finance Association, vol. 47(2), pages 695-732, June.
    10. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 107(3), pages 797-817.
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    Citations

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    Cited by:

    1. Frédéric Koessler & Anthony Ziegelmeyer & Marie-Hélène Broihanne, 2003. "The Favorite-Longshot Bias in Sequential Parimutuel Betting with Non-Expected Utility Players," Theory and Decision, Springer, pages 231-248.
    2. Koessler, Frédéric & Noussair, Charles & Ziegelmeyer, Anthony, 2008. "Parimutuel betting under asymmetric information," Journal of Mathematical Economics, Elsevier, pages 733-744.
    3. Erhan Bayraktar & Alexander Munk, 2016. "High-Roller Impact: A Large Generalized Game Model of Parimutuel Wagering," Papers 1605.03653, arXiv.org, revised Mar 2017.
    4. Ottaviani, Marco & Sørensen, Peter Norman, 2003. "Late Informed Betting and the Favourite-Longshot Bias," CEPR Discussion Papers 4092, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    GAME THEORY ; INVESTMENTS;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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