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Multi-player, Multi-prize, Imperfectly Discriminating Contests

  • André De Palma

    ()

    (ENS Cachan - École normale supérieure - Cachan)

  • Soumyanetra Munshi

    ()

    (IIMB - Indian Institute of Management Bangalore - Indian Institute of Management Bangalore)

This paper models success probability in imperfectly discriminating contests involving multiple players and multiple prizes. This turns out to be a generalization of Tullock's contest success function to a multiplayer, multi-prize situation. The model can be used to analyse e orts exerted by individuals in various real-life situations, like obtaining seats in congested public transportation vehicles or obtaining admission into elite educational institutes. We propose a \holistic" probability model, derive the equilibrium e orts exerted, and analyse those e orts, the associated total costs and total dissipation, and also pricing and the optimal number of 'seats'. We also discuss extensions of the model.

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Date of creation: 29 Mar 2012
Handle: RePEc:hal:wpaper:hal-00683688
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  1. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-15, September.
  2. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-89, March.
  3. Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 201-204.
  4. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-90, February.
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  8. André de Palma & Nathalie Picard & Paul Waddell, 2007. "Discrete choice models with capacity constraints: an empirical analysis of the housing market of the greater Paris region," THEMA Working Papers 2007-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  9. Ian W.H. Parry & Kenneth A. Small, 2007. "Should Urban Transit Subsidies Be Reduced?," Working Papers 060723, University of California-Irvine, Department of Economics.
  10. Pierre-André Chiappori & Robert McCann & Lars Nesheim, 2010. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(2), pages 317-354, February.
  11. Nti, Kofi O, 1997. "Comparative Statics of Contests and Rent-Seeking Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 43-59, February.
  12. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  13. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
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  15. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
  16. Blavatskyy, Pavlo R., 2010. "Contest success function with the possibility of a draw: Axiomatization," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 267-276, March.
  17. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(2), pages 345-357, November.
  18. Martimort, David & Stole, Lars, 2011. "Aggregate Representations of Aggregate Games," MPRA Paper 32871, University Library of Munich, Germany.
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