IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-12-00574.html
   My bibliography  Save this article

Existence and Uniqueness of Pure Nash Equilibrium in Asymmetric Contests with Endogenous Prizes

Author

Listed:
  • Shumei Hirai

    (Chuo University)

Abstract

This paper considers a contest with an endogenous prize, which is increasing in aggregate efforts of the players. Each player may have a different valuation of the prize and a different ability to convert expenditures to productive efforts. Under standard assumptions in the literature, we prove that there exists a unique pure Nash equilibrium in asymmetric contests with endogenous prizes.

Suggested Citation

  • Shumei Hirai, 2012. "Existence and Uniqueness of Pure Nash Equilibrium in Asymmetric Contests with Endogenous Prizes," Economics Bulletin, AccessEcon, vol. 32(4), pages 2744-2751.
    • Handle: RePEc:ebl:ecbull:eb-12-00574
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2012/Volume32/EB-12-V32-I4-P265.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    2. Perez-Castrillo, J David & Verdier, Thierry, 1992. "A General Analysis of Rent-Seeking Games," Public Choice, Springer, vol. 73(3), pages 335-350, April.
    3. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
    4. Cornes, Richard & Hartley, Roger, 2003. "Risk Aversion, Heterogeneity and Contests," Public Choice, Springer, vol. 117(1-2), pages 1-25, October.
    5. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
    6. repec:cte:werepe:we075126 is not listed on IDEAS
    7. 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.
    8. Wolfstetter,Elmar, 2000. "Topics in Microeconomics," Cambridge Books, Cambridge University Press, number 9780521645348, October.
    9. 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.
    10. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chung, A., 2024. "Target Setting in Contests with Sabotage," Cambridge Working Papers in Economics 2409, Faculty of Economics, University of Cambridge.
    2. Damian S. Damianov & Shane Sanders & Anil Yildizparlak, 2018. "Asymmetric endogenous prize contests," Theory and Decision, Springer, vol. 85(3), pages 435-453, October.
    3. Akio Matsumoto & Ferenc Szidarovszky, 2022. "Stability of dynamic asymmetric contests with endogenous prizes," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 29-40, January.
    4. Walter Ferrarese, 2018. "Equilibrium Effort in Games with Homogeneous Production Functions and Homogeneous Valuation," CEIS Research Paper 432, Tor Vergata University, CEIS, revised 12 Nov 2021.
    5. Walter Ferrarese, 2022. "Equilibrium effort in games with homogeneous production functions and homogeneous valuation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(2), pages 195-212, June.

    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. Akio Matsumoto & Ferenc Szidarovszky, 2022. "Stability of dynamic asymmetric contests with endogenous prizes," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 29-40, January.
    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. Alex Dickson & Ian A. MacKenzie & Petros G. Sekeris, 2016. "Sharing contests with general preferences," Discussion Papers Series 573, School of Economics, University of Queensland, Australia.
    4. Chowdhury, Subhasish M. & Sheremeta, Roman M., 2011. "Multiple equilibria in Tullock contests," Economics Letters, Elsevier, vol. 112(2), pages 216-219, August.
    5. Christian Ewerhart & Federico Quartieri, 2020. "Unique equilibrium in contests with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 243-271, July.
    6. Richard Cornes & Roger Hartley, 2012. "Risk aversion in symmetric and asymmetric contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 247-275, October.
    7. Christian Ewerhart, 2015. "Contest success functions: the common-pool perspective," ECON - Working Papers 195, Department of Economics - University of Zurich.
    8. Damian S. Damianov & Shane Sanders & Anil Yildizparlak, 2018. "Asymmetric endogenous prize contests," Theory and Decision, Springer, vol. 85(3), pages 435-453, October.
    9. XiaoGang Che & Brad Humphreys, 2014. "Contests with a Prize Externality and Stochastic Entry," Working Papers 14-19, Department of Economics, West Virginia University.
    10. Einy, E & Haimanko, O & Moreno, D & Sela, A & Shitovitz, B, 2013. "Tullock Contests with Asymmetric Information," Discussion Papers 2013-11, Graduate School of Economics, Hitotsubashi University.
    11. 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.
    12. 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.
    13. Dmitry Ryvkin, 2007. "Tullock contests of weakly heterogeneous players," Public Choice, Springer, vol. 132(1), pages 49-64, July.
    14. A. Aiche & E. Einy & O. Haimanko & D. Moreno & A. Sela & B. Shitovitz, 2019. "Information in Tullock contests," Theory and Decision, Springer, vol. 86(3), pages 303-323, May.
    15. Alex Gershkov & Jianpei Li & Paul Schweinzer, 2009. "Efficient tournaments within teams," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 103-119, March.
    16. Fu, Qiang & Lyu, Youji & Wu, Zenan & Zhang, Yuanjie, 2022. "Expectations-based loss aversion in contests," Games and Economic Behavior, Elsevier, vol. 133(C), pages 1-27.
    17. 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).
    18. Walter Ferrarese, 2022. "Equilibrium effort in games with homogeneous production functions and homogeneous valuation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(2), pages 195-212, June.
    19. Nicolas Treich, 2010. "Risk-aversion and prudence in rent-seeking games," Public Choice, Springer, vol. 145(3), pages 339-349, December.
    20. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.

    More about this item

    Keywords

    Contests; Endogenous prize; Existence and uniqueness;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

    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:ebl:ecbull:eb-12-00574. 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: John P. Conley (email available below). General contact details of provider: .

    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.