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Contests with endogenous entry

Author

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  • Qiang Fu
  • Qian Jiao
  • Jingfeng Lu

Abstract

This paper studies the effort-maximizing design of a complete-information contest with endogenous entry. A fixed pool of homogenous potential players with identical marginal bidding cost must incur an entry cost to enter the contest before they bid for prize(s). The designer can flexibly adjust the impact function of a generalized nested lottery contest and use a fixed budget to fund single or multiple prizes. Applying Dasgupta and Maskin (Rev Econ Stud 53(1):1–26, 1986 ), we establish the existence of symmetric equilibrium for all contest mechanisms concerned. A uniform upper bound for expected overall bids is identified for any eligible contest, assuming that potential bidders play symmetric equilibria. We show that the upper bound can be achieved through a Tullock contest with a single contingent prize, which adopts compatible bundles of success function and entry fees/subsidies. In particular, we identify the conditions under which the optimum can be achieved by solely setting the right discriminatory power in a Tullock contest with a single fixed prize. Finally, our analysis characterizes the optimal shortlisting rule, which reveals that the contest designer generally should exclude potential bidders to elicit higher bids. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Qiang Fu & Qian Jiao & Jingfeng Lu, 2015. "Contests with endogenous entry," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 387-424, May.
  • Handle: RePEc:spr:jogath:v:44:y:2015:i:2:p:387-424
    DOI: 10.1007/s00182-014-0435-9
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    Cited by:

    1. Drugov, Mikhail & Ryvkin, Dmitry, 2020. "How noise affects effort in tournaments," Journal of Economic Theory, Elsevier, vol. 188(C).
    2. Jean-François Mercier, 2018. "Selecting contestants for a rent-seeking contest," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 927-947, September.
    3. David Wettstein & Todd R. Kaplan, 2016. "Two-Stage Contests with Preferences over Style," Working Papers 1607, Ben-Gurion University of the Negev, Department of Economics.
    4. Yizhaq Minchuk & Aner Sela, 2021. "Subsidy and Taxation in All-Pay Auctions under Incomplete," Working Papers 2104, Ben-Gurion University of the Negev, Department of Economics.
    5. Gu, Yiquan & Hehenkamp, Burkhard & Leininger, Wolfgang, 2017. "The Dark Side of the Force: Evolutionary Equilibrium in Contests with Stochastic Entry," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168168, Verein für Socialpolitik / German Economic Association.
    6. Leininger, Wolfgang, 2019. "Is it really overdissipation? A reassessment of evolutionarily stable behavior in contests," Ruhr Economic Papers 809, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    7. Jiao, Qian & Shen, Bo & Sun, Xiang, 2019. "Bipartite conflict networks with returns to scale technology," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 516-531.
    8. Gu, Yiquan & Hehenkamp, Burkhard & Leininger, Wolfgang, 2019. "Evolutionary equilibrium in contests with stochastic participation: Entry, effort and overdissipation," Journal of Economic Behavior & Organization, Elsevier, vol. 164(C), pages 469-485.
    9. Luke Boosey & Philip Brookins & Dmitry Ryvkin, 2020. "Information Disclosure in Contests with Endogenous Entry: An Experiment," Management Science, INFORMS, vol. 66(11), pages 5128-5150, November.
    10. Aycinena, Diego & Rentschler, Lucas, 2019. "Entry in contests with incomplete information: Theory and experiments," European Journal of Political Economy, Elsevier, vol. 60(C).
    11. Samuel Häfner & Georg Nöldeke, 0. "Sorting in iterated incumbency contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 0, pages 1-38.
    12. Mr. Felix J Vardy & Mr. John Morgan & Justin Tumlinson, 2018. "The Limits of Meritocracy," IMF Working Papers 2018/231, International Monetary Fund.
    13. Mark Whitmeyer, 2021. "Submission Fees in Risk-Taking Contests," Papers 2108.13506, arXiv.org.

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    More about this item

    Keywords

    Contest design; Endogenous entry; Entry cost; Stochastic entry; C7; D8;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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