IDEAS home Printed from https://ideas.repec.org/p/syd/wpaper/2022-04.html
   My bibliography  Save this paper

Choosing the Prize in Contests

Author

Listed:
  • de Roos, Nicolas
  • Matros, Alexander
  • Smirnov, Vladimir
  • Valencia, Zehra

Abstract

In many contests, a participant’s choices can influence the value of the prize on offer. However, in the standard contest model, the value of the prize is exogenous and participants have discretion only over the effort they exert. This paper proposes a new type of N-player contest in which each participant chooses both her own prize and effort. We present a general model and establish sufficient conditions for equilibrium existence. We then describe sufficient conditions for the existence of symmetric equilibria, and discuss comparative statics with respect to the number of players. Finally, we discuss asymmetric contests.

Suggested Citation

  • de Roos, Nicolas & Matros, Alexander & Smirnov, Vladimir & Valencia, Zehra, 2022. "Choosing the Prize in Contests," Working Papers 2022-04, University of Sydney, School of Economics.
  • Handle: RePEc:syd:wpaper:2022-04
    as

    Download full text from publisher

    File URL: http://econ-wpseries.com/2022/202204.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Johan N. M. Lagerlöf, 2020. "Hybrid All-Pay and Winner-Pay Contests," American Economic Journal: Microeconomics, American Economic Association, vol. 12(4), pages 144-169, November.
    2. Marco A. Haan & Lambert Schoonbeek, 2003. "Rent Seeking with Efforts and Bids," Journal of Economics, Springer, vol. 79(3), pages 215-235, July.
    3. Konrad, Kai A, 2000. "Sabotage in Rent-Seeking Contests," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 16(1), pages 155-165, April.
    4. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
    5. Glenn C. Loury, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 395-410.
    6. Hinnosaar, Toomas, 2024. "Optimal sequential contests," Theoretical Economics, Econometric Society, vol. 19(1), January.
    7. Hefti, Andreas, 2017. "Equilibria in symmetric games: theory and applications," Theoretical Economics, Econometric Society, vol. 12(3), September.
    8. Cohen, Chen & Sela, Aner, 2005. "Manipulations in contests," Economics Letters, Elsevier, vol. 86(1), pages 135-139, January.
    9. Andreas Hefti, 2011. "On uniqueness and stability of symmetric equilibria in differentiable symmetric games," ECON - Working Papers 018, Department of Economics - University of Zurich.
    10. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    11. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    12. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    13. Chung, Tai-Yeong, 1996. "Rent-Seeking Contest When the Prize Increases with Aggregate Efforts," Public Choice, Springer, vol. 87(1-2), pages 55-66, April.
    14. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    15. Alexander Matros & Daniel Armanios, 2009. "Tullock’s contest with reimbursements," Public Choice, Springer, vol. 141(1), pages 49-63, October.
    16. Shumei Hirai & Ferenc Szidarovszky, 2013. "Existence And Uniqueness Of Equilibrium In Asymmetric Contests With Endogenous Prizes," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 1-9.
    17. Kong-Pin Chen, 2003. "Sabotage in Promotion Tournaments," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 19(1), pages 119-140, April.
    18. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
    19. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cedric Duvinage & Peter-J. Jost, 2019. "The Role of Referees in Professional Sports Contests," Journal of Sports Economics, , vol. 20(8), pages 1014-1050, December.
    2. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    3. Osório, António (António Miguel), 2018. "Conflict and Competition over Multi-Issues," Working Papers 2072/306550, Universitat Rovira i Virgili, Department of Economics.
    4. Chung, A., 2024. "Target Setting in Contests with Sabotage," Cambridge Working Papers in Economics 2409, Faculty of Economics, University of Cambridge.
    5. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    6. Markus LANG & Alexander RATHKE & Marco RUNKEL, 2010. "The Economic Consequences Of Foreigner Rules In National Sports Leagues," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 31, pages 47-64.
    7. Kyung Hwan Baik & Jong Hwa Lee, 2013. "Endogenous Timing In Contests With Delegation," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2044-2055, October.
    8. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working Papers id:12840, eSocialSciences.
    9. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    10. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    11. Matthias Kräkel, 2014. "Sandbagging," Journal of Sports Economics, , vol. 15(3), pages 263-284, June.
    12. Helmut Dietl & Egon Franck & Martin Grossmann & Markus Lang, 2009. "Contest Theory and its Applications in Sports," Working Papers 0105, University of Zurich, Institute for Strategy and Business Economics (ISU).
    13. Johan N. M. Lagerlöf, 2020. "Hybrid All-Pay and Winner-Pay Contests," American Economic Journal: Microeconomics, American Economic Association, vol. 12(4), pages 144-169, November.
    14. XiaoGang Che & Brad Humphreys, 2014. "Contests with a Prize Externality and Stochastic Entry," Working Papers 14-19, Department of Economics, West Virginia University.
    15. Subhasish Chowdhury & Roman Sheremeta, 2011. "A generalized Tullock contest," Public Choice, Springer, vol. 147(3), pages 413-420, June.
    16. Gama, Adriana & Rietzke, David, 2019. "Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 183(C), pages 823-841.
    17. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    18. Luis Corchón, 2007. "The theory of contests: a survey," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 69-100, September.
    19. Doron Klunover, 2020. "Nice guys don't always finish last: succeeding in hierarchical organizations," Papers 2007.04435, arXiv.org, revised Sep 2020.
    20. Sheremeta, Roman, 2009. "Essays on Experimental Investigation of Lottery Contests," MPRA Paper 49888, University Library of Munich, Germany.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:syd:wpaper:2022-04. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Vanessa Holcombe (email available below). General contact details of provider: https://edirc.repec.org/data/deusyau.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.