IDEAS home Printed from https://ideas.repec.org/p/zbw/rwirep/130.html
   My bibliography  Save this paper

Effort Maximization in Asymmetric N-person Contest Games

Author

Listed:
  • Franke, Jörg
  • Kanzow, Christian
  • Leininger, Wolfgang
  • Väth, Alexandra

Abstract

This paper provides existence and characterization of the optimal contest success function under the condition that the objective of the contest designer is total effort maximization among n heterogeneous players. Heterogeneity of players makes active participation of a player in equilibrium endogenous with respect to the specific contest success function adopted by the contest designer. Hence, the aim of effort maximization implies the identification of those players who should be excluded from making positive efforts.We give a general proof for the existence of an optimal contest success function and provide an algorithm for the determination of the set of actively participating players.This is turn allows to determine optimal efforts in closed form.An important general feature of the solution is that maximization of total effort requires at least three players to be active.

Suggested Citation

  • Franke, Jörg & Kanzow, Christian & Leininger, Wolfgang & Väth, Alexandra, 2009. "Effort Maximization in Asymmetric N-person Contest Games," Ruhr Economic Papers 130, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    • Handle: RePEc:zbw:rwirep:130
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/29913/1/605645914.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Alan Gelder & Dan Kovenock & Brian Roberson, 2022. "All-pay auctions with ties," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(4), pages 1183-1231, November.
    2. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    3. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    4. 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.
    5. Stein, William E, 2002. "Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-336, December.
    6. Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-545, October.
    7. Nti, Kofi O., 2004. "Maximum efforts in contests with asymmetric valuations," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1059-1066, November.
    8. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    9. Nti, Kofi O, 1999. "Rent-Seeking with Asymmetric Valuations," Public Choice, Springer, vol. 98(3-4), pages 415-430, March.
    10. 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.
    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. Beviá, Carmen & Corchón, Luis C., 2013. "Endogenous strength in conflicts," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 297-306.
    2. Todd Kaplan & David Wettstein, 2015. "The optimal design of rewards in contests," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 327-339, December.
    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. Yu‐Fu Chen & Michael Funke, 2010. "Booms, Recessions And Financial Turmoil: A Fresh Look At Investment Decisions Under Cyclical Uncertainty," Scottish Journal of Political Economy, Scottish Economic Society, vol. 57(3), pages 290-317, July.

    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. repec:zbw:rwirep:0130 is not listed on IDEAS
    2. Jörg Franke & Christian Kanzow & Wolfgang Leininger & Alexandra Väth, 2009. "Effort Maximization in Asymmetric N-person Contest Games," Ruhr Economic Papers 0130, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    3. Mustafa Yildirim, 2015. "Accuracy in contests: players’ perspective," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 67-90, March.
    4. Marco Runkel, 2006. "Optimal contest design, closeness and the contest success function," Public Choice, Springer, vol. 129(1), pages 217-231, October.
    5. 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.
    6. Barbieri, Stefano & Serena, Marco, 2022. "Biasing dynamic contests between ex-ante symmetric players," Games and Economic Behavior, Elsevier, vol. 136(C), pages 1-30.
    7. Franke, Jörg, 2012. "Affirmative action in contest games," European Journal of Political Economy, Elsevier, vol. 28(1), pages 105-118.
    8. Yosef Mealem & Shmuel Nitzan, 2013. "Direct and Structural Discrimination in Contests," CESifo Working Paper Series 4518, CESifo.
    9. Wang Zhewei, 2010. "The Optimal Accuracy Level in Asymmetric Contests," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-18, April.
    10. 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.
    11. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    12. 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.
    13. Jörg Franke, 2007. "Does Affirmative Action Reduce Effort Incentives? A Contest Game Analysis," UFAE and IAE Working Papers 711.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    14. Marco Runkel, 2003. "Optimal Contest Design when the Designer’s Payoff Depends on Competitive Balance," CESifo Working Paper Series 1009, CESifo.
    15. 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.
    16. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working Papers id:12840, eSocialSciences.
    17. 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.
    18. Yosef Mealem & Shmuel Nitzan, 2012. "Differential Prize Taxation and Structural Discrimination in Contests," CESifo Working Paper Series 3831, CESifo.
    19. Ratul Lahkar & Rezina Sultana, 2020. "Affirmative Action in Large Population Contests," Working Papers 40, Ashoka University, Department of Economics.
    20. Dmitry Ryvkin, 2007. "Tullock contests of weakly heterogeneous players," Public Choice, Springer, vol. 132(1), pages 49-64, July.
    21. Dahm, Matthias & Esteve-González, Patricia, 2018. "Affirmative action through extra prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 123-142.

    More about this item

    Keywords

    Effort maximization; existence of solution; asymmetric contests; participation constraints;
    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

    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:zbw:rwirep:130. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/rwiesde.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.