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A model of parallel contests

Author

Listed:
  • Wei-Torng Juang

    (Institute of Economics, Academia Sinica
    National Chiao Tung University)

  • Guang-Zhen Sun

    (The University of Macau)

  • Kuo-Chih Yuan

    (Soochow University)

Abstract

We develop a model of two parallel contests, asymmetric in quantity of homogeneous prizes open to contest, with a finite number of homogeneous risk-neutral bidders. Whether the bidder upon entry into a particular contest is aware of the realized number of competing contestants in the contest is irrelevant to the expected effort at equilibrium. At equilibrium the expected effort per capita in the larger contest (the contest with more prizes) is greater than that in the smaller one. The larger contest nonetheless does not attract enough contestants to achieve optimum in rent extraction from the bidders.

Suggested Citation

  • Wei-Torng Juang & Guang-Zhen Sun & Kuo-Chih Yuan, 2020. "A model of parallel contests," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 651-672, June.
  • Handle: RePEc:spr:jogath:v:49:y:2020:i:2:d:10.1007_s00182-019-00705-0
    DOI: 10.1007/s00182-019-00705-0
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    References listed on IDEAS

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    1. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    2. Konrad, Kai A. & Kovenock, Dan, 2012. "The lifeboat problem," European Economic Review, Elsevier, vol. 56(3), pages 552-559.
    3. Moldovanu, Benny & Sela, Aner & Shi, Xianwen, 2008. "Competing auctions with endogenous quantities," Journal of Economic Theory, Elsevier, vol. 141(1), pages 1-27, July.
    4. Anwar, Sajid & McMillan, Robert & Zheng, Mingli, 2006. "Bidding behavior in competing auctions: Evidence from eBay," European Economic Review, Elsevier, vol. 50(2), pages 307-322, February.
    5. Roger B. Myerson, 1998. "Population uncertainty and Poisson games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 375-392.
    6. Roger Myerson & Karl Wärneryd, 2006. "Population uncertainty in contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 469-474, January.
    7. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    8. Mueller,Dennis C. (ed.), 1997. "Perspectives on Public Choice," Cambridge Books, Cambridge University Press, number 9780521553773.
    9. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    10. Keith Jakee & Guang-Zhen Sun, 2006. "Is compulsory voting more democratic?," Public Choice, Springer, vol. 129(1), pages 61-75, October.
    11. repec:hal:spmain:info:hdl:2441/2ldopuhqfp8e7oriqpulud8k5o is not listed on IDEAS
    12. Feng, Xin & Lu, Jingfeng, 2016. "The optimal disclosure policy in contests with stochastic entry: A Bayesian persuasion perspective," Economics Letters, Elsevier, vol. 147(C), pages 103-107.
    13. Damian Damianov, 2012. "Seller competition by mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 105-137, September.
    14. Ghazala Azmat & Marc Möller, 2018. "The Distribution of Talent Across Contests," Economic Journal, Royal Economic Society, vol. 128(609), pages 471-509, March.
    15. Ghazala Azmat & Marc Möller, 2009. "Competition among contests," RAND Journal of Economics, RAND Corporation, vol. 40(4), pages 743-768, December.
    16. Linnemer, Laurent & Visser, Michael, 2016. "Self-selection in tournaments: The case of chess players," Journal of Economic Behavior & Organization, Elsevier, vol. 126(PA), pages 213-234.
    17. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    18. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    19. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    20. Lim, Wooyoung & Matros, Alexander, 2009. "Contests with a stochastic number of players," Games and Economic Behavior, Elsevier, vol. 67(2), pages 584-597, November.
    21. Ghazala Azmat & Marc Möller, 2018. "The Distribution of Talent Across Contests," Economic Journal, Royal Economic Society, vol. 128(609), pages 471-509.
    22. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
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    Cited by:

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    2. Zhenjun Yan & Xinyan Wu & Jing Li & Bingqing Liang, 2022. "Competition and Heterogeneous Innovation Qualities: Evidence from a Natural Experiment," Sustainability, MDPI, vol. 14(13), pages 1-21, June.

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    More about this item

    Keywords

    Parallel contests; Rent extraction; Participation effect; Effort effect;
    All these keywords.

    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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