IDEAS home Printed from https://ideas.repec.org/p/zur/econwp/286.html
   My bibliography  Save this paper

Equilibrium in the symmetric Hirshleifer contest: uniqueness and characterization

Author

Listed:
  • Christian Ewerhart
  • Guang-Zhen Sun

Abstract

The symmetric two-player Hirshleifer (1989) contest is shown to admit a unique equilibrium. The support of the equilibrium strategy is finite and includes, in particular, the zero expenditure level. We also establish a lower bound for the cardinality of the support and an upper bound for the undissipated rent.

Suggested Citation

  • Christian Ewerhart & Guang-Zhen Sun, 2018. "Equilibrium in the symmetric Hirshleifer contest: uniqueness and characterization," ECON - Working Papers 286, Department of Economics - University of Zurich.
  • Handle: RePEc:zur:econwp:286
    as

    Download full text from publisher

    File URL: http://www.econ.uzh.ch/static/wp/econwp286.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Christian Ewerhart, 2014. "Elastic contests and the robustness of the all-pay auctions," ECON - Working Papers 155, Department of Economics - University of Zurich.
    2. Feng, Xin & Lu, Jingfeng, 2017. "Uniqueness of equilibrium in two-player asymmetric Tullock contests with intermediate discriminatory power," Economics Letters, Elsevier, vol. 159(C), pages 61-64.
    3. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    4. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1994. "The Solution to the Tullock Rent-Seeking Game When R Is Greater Than 2: Mixed-Strategy Equilibria and Mean Dissipation Rates," Public Choice, Springer, vol. 81(3-4), pages 363-380, December.
    5. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    6. Neary, Hugh M, 1997. "Equilibrium Structure in an Economic Model of Conflict," Economic Inquiry, Western Economic Association International, vol. 35(3), pages 480-494, July.
    7. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
    8. Baik, Kyung Hwan, 1998. "Difference-form contest success functions and effort levels in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 685-701, November.
    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. Jamilla, Cristeta & Mendoza, Renier & Mező, István, 2020. "Solutions of neutral delay differential equations using a generalized Lambert W function," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    2. Christian Ewerhart & Guang-Zhen Sun, 2020. "The n-player Hirshleifer contest," ECON - Working Papers 361, Department of Economics - University of Zurich.

    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. Raul Caruso, 2008. "Reciprocity in the shadow of threat," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 55(1), pages 91-111, April.
    2. 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.
    3. 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.
    4. Christian Ewerhart, 2015. "Mixed equilibria in Tullock contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 59-71, September.
    5. Hao Jia & Stergios Skaperdas, 2011. "Technologies of Conflict," Working Papers 101111, University of California-Irvine, Department of Economics.
    6. Feng, Xin & Lu, Jingfeng, 2018. "How to split the pie: Optimal rewards in dynamic multi-battle competitions," Journal of Public Economics, Elsevier, vol. 160(C), pages 82-95.
    7. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working Papers id:12840, eSocialSciences.
    8. Balart, Pau & Chowdhury, Subhasish M. & Troumpounis, Orestis, 2017. "Linking individual and collective contests through noise level and sharing rules," Economics Letters, Elsevier, vol. 155(C), pages 126-130.
    9. Matthias Dahm & Nicolas Porteiro, 2005. "A Micro- Foundation for Non-Deterministic Contests of the Logit Form," Discussion Papers 1410, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Eggert, Wolfgang & Itaya, Jun-ichi & Mino, Kazuo, 2011. "A dynamic model of conflict and appropriation," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 167-182.
    11. Caruso Raul, 2006. "Conflict and Conflict Management with Interdependent Instruments and Asymmetric Stakes, (The Good-Cop and the Bad-Cop Game)," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 12(1), pages 1-55, September.
    12. repec:ebl:ecbull:v:4:y:2007:i:17:p:1-8 is not listed on IDEAS
    13. Zhang, Ming & Wang, Guanghui & Xu, Jin & Qu, Cunquan, 2020. "Dynamic contest model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    14. Christian Ewerhart, 2014. "Elastic contests and the robustness of the all-pay auctions," ECON - Working Papers 155, Department of Economics - University of Zurich.
    15. Raul Caruso, 2007. "Continuing Conflict and Stalemate: A note," Economics Bulletin, AccessEcon, vol. 4(17), pages 1-8.
    16. Yosef Mealem & Shmuel Nitzan, 2013. "Direct and Structural Discrimination in Contests," CESifo Working Paper Series 4518, CESifo.
    17. Gil S. Epstein & Yosef Mealem & Shmuel Nitzan, 2013. "Lotteries vs. All-Pay Auctions in Fair and Biased Contests," Economics and Politics, Wiley Blackwell, vol. 25(1), pages 48-60, March.
    18. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    19. 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.
    20. Steffen Huck & Kai A. Konrad & Wieland Müller, 2000. "Merger in Contests," CESifo Working Paper Series 241, CESifo.
      • Huck, Steffen & Konrad, Kai A. & Müller, Wieland, 2000. "Merger in contests," SFB 373 Discussion Papers 2000,3, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    21. Pierre Fauvet & Sébastien Rouillon, 2016. "Would you trust lobbies?," Public Choice, Springer, vol. 167(3), pages 201-219, June.

    More about this item

    Keywords

    Contests; mixed-strategy equilibrium; rent dissipation; uniqueness;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

    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:zur:econwp:286. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/seizhch.html .

    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: Marita Kieser (email available below). General contact details of provider: https://edirc.repec.org/data/seizhch.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.