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Sequential Contests with Synergy and Budget Constraints

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  • Megidish, Reut
  • Sela, Aner
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    Abstract

    We study a sequential Tullock contest with two stages and two identical prizes. The players compete for one prize in each stage and each player may win either one or two prizes. The players have either decreasing or increasing marginal values for the prizes, which are commonly known, and there is a constraint on the total effort that each player can exert in both stages. We analyze the players' allocations of efforts along both stages when the budget constraints (effort constraints) are either restrictive, nonrestrictive or partially restrictive. We show that when the players are either symmetric or asymmetric and the budget constraints are restrictive, independent of the players' values for the prizes, each player allocates his effort equally along both stages of the contest.

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    Bibliographic Info

    Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8383.

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    Date of creation: May 2011
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    Handle: RePEc:cpr:ceprdp:8383

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    Keywords: budget constraints; sequential contests; Tullock contests;

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    1. Alexander Matros, 2006. "Elimination Tournaments where Players Have Fixed Resources," Working Papers 205, University of Pittsburgh, Department of Economics, revised Jan 2006.
    2. Sandro Brusco & Giuseppe Lopomo, 2009. "Simultaneous ascending auctions with complementarities and known budget constraints," Economic Theory, Springer, vol. 38(1), pages 105-124, January.
    3. Arieh Gavious & Benny Moldovanu & Aner Sela, 2002. "Bid Costs and Endogenous Bid Caps," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 709-722, Winter.
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    8. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    9. Carolyn Pitchik, 2008. "Budget-Constrained Sequential Auctions with Incomplete Information," Working Papers tecipa-342, University of Toronto, Department of Economics.
    10. Morgan, John, 2003. " Sequential Contests," Public Choice, Springer, vol. 116(1-2), pages 1-18, July.
    11. Rick Harbaugh & Tilman Klumpp, 2005. "Early Round Upsets and Championship Blowouts," Economic Inquiry, Western Economic Association International, vol. 43(2), pages 316-329, April.
    12. Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September.
    13. Sandro Brusco & Giuseppe Lopomo, 2008. "BUDGET CONSTRAINTS AND DEMAND REDUCTION IN SIMULTANEOUS ASCENDING-BID AUCTIONS -super-* ," Journal of Industrial Economics, Wiley Blackwell, vol. 56(1), pages 113-142, 03.
    14. Amegashie, J. Atsu & Cadsby, C. Bram & Song, Yang, 2007. "Competitive burnout: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 59(2), pages 213-239, May.
    15. Che, Yeon-Koo & Gale, Ian, 1997. " Rent Dissipation When Rent Seekers Are Budget Constrained," Public Choice, Springer, vol. 92(1-2), pages 109-26, July.
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