IDEAS home Printed from https://ideas.repec.org/a/kap/pubcho/v129y2006i1p217-231.html
   My bibliography  Save this article

Optimal contest design, closeness and the contest success function

Author

Listed:
  • Marco Runkel

Abstract

This paper considers the optimal design of an asymmetric two-player contest when the designer’s payoff depends not only on performance of the contestants, but also on the closeness of the contest measured by the difference in winning probabilities. In contrast to previous studies, the impact of closeness on the optimal prize depends on the shape of the contest success function. Furthermore, including closeness in the designer’s objective may induce the designer to uniformly increase the contestants’ effort costs. A similar result is obtained in case the designer may handicap the stronger contestant, but an even contest is never optimal. Copyright Springer Science+Business Media, B.V. 2006

Suggested Citation

  • Marco Runkel, 2006. "Optimal contest design, closeness and the contest success function," Public Choice, Springer, vol. 129(1), pages 217-231, October.
  • Handle: RePEc:kap:pubcho:v:129:y:2006:i:1:p:217-231
    DOI: 10.1007/s11127-006-9030-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11127-006-9030-3
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11127-006-9030-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. Yeon-Koo Che & Ian L. Gale, 2008. "Caps on Political Lobbying," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 337-345, Springer.
    3. Yeon-Koo Che & Ian Gale, 2003. "Optimal Design of Research Contests," American Economic Review, American Economic Association, vol. 93(3), pages 646-671, June.
    4. Rodney Fort & James Quirk, 1995. "Cross-subsidization, Incentives, and Outcomes in Professional Team Sports Leagues," Journal of Economic Literature, American Economic Association, vol. 33(3), pages 1265-1299, September.
    5. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    6. Nti, Kofi O, 1997. "Comparative Statics of Contests and Rent-Seeking Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 43-59, February.
    7. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    8. William E. Stein & Amnon Rapoport, 2004. "Asymmetric Two-Stage Group Rent-Seeking: Comparison of Two Contest Structures," Public Choice, Springer, vol. 118(1_2), pages 151-167, January.
    9. Nti, Kofi O, 1999. "Rent-Seeking with Asymmetric Valuations," Public Choice, Springer, vol. 98(3-4), pages 415-430, March.
    10. Stein, William E, 2002. "Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-336, December.
    11. 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.
    12. Mark Gradstein & Kai A. Konrad, 1999. "Orchestrating Rent Seeking Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 571-580, Springer.
    13. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    14. Amegashie, J Atsu, 1999. "The Design of Rent-Seeking Competitions: Committees, Preliminary and Final Contests," Public Choice, Springer, vol. 99(1-2), pages 63-76, April.
    15. Gradstein, Mark, 1998. "Optimal contest design: volume and timing of rent seeking in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 575-585, November.
    16. Arieh Gavious & Benny Moldovanu & Aner Sela, 2002. "Bid Costs and Endogenous Bid Caps," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 709-722, Winter.
    17. Barry Nalebuff & Ron Shachar, 1999. "Follow the Leader: Theory and Evidence on Political Participation," American Economic Review, American Economic Association, vol. 89(3), pages 525-547, June.
    18. Amegashie, J Atsu, 2000. "Some Results on Rent-Seeking Contests with Shortlisting," Public Choice, Springer, vol. 105(3-4), pages 245-253, December.
    19. 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.
    20. Stefan Szymanski, 2004. "Professional Team Sports Are Only a Game," Journal of Sports Economics, , vol. 5(2), pages 111-126, May.
    21. Glazer, Amihai & Hassin, Refael, 1988. "Optimal Contests," Economic Inquiry, Western Economic Association International, vol. 26(1), pages 133-143, January.
    22. Nti, Kofi O., 2004. "Maximum efforts in contests with asymmetric valuations," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1059-1066, November.
    23. Kohli, Inderjit & Singh, Nirvikar, 1999. "Rent Seeking and Rent Setting with Asymmetric Effectiveness of Lobbying," Public Choice, Springer, vol. 99(3-4), pages 275-298, June.
    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. Jason A. Winfree, 2021. "If You Don'T Like The Outcome, Change The Contest," Economic Inquiry, Western Economic Association International, vol. 59(1), pages 329-343, January.
    2. repec:elg:eechap:15325_5 is not listed on IDEAS
    3. 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.
    4. Epstein, Gil S. & Mealem, Yosef & Nitzan, Shmuel, 2011. "Political culture and discrimination in contests," Journal of Public Economics, Elsevier, vol. 95(1), pages 88-93.
    5. Deng, Shanglyu & Fu, Qiang & Wu, Zenan, 2021. "Optimally biased Tullock contests," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 10-21.
    6. Clark, Derek J. & Kundu, Tapas, 2021. "Competitive balance: Information disclosure and discrimination in an asymmetric contest," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 178-198.
    7. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
    8. Yizhaq Minchuk & Aner Sela, 2021. "Subsidy and Taxation in All-Pay Auctions under Incomplete," Working Papers 2104, Ben-Gurion University of the Negev, Department of Economics.
    9. March, Christoph & Sahm, Marco, 2018. "Contests as selection mechanisms: The impact of risk aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 150(C), pages 114-131.
    10. Mikhail Drugov & Dmitry Ryvkin, 2020. "Hunting for the discouragement effect in contests," Working Papers w0278, New Economic School (NES).
    11. Giuseppe Dari-Mattiacci & Eric Langlais & Bruno Lovat & Francesco Parisi, 2013. "Asymmetries in Rent-Seeking," Working Papers hal-04141218, HAL.
    12. Brown, Alasdair & Chowdhury, Subhasish M., 2017. "The hidden perils of affirmative action: Sabotage in handicap contests," Journal of Economic Behavior & Organization, Elsevier, vol. 133(C), pages 273-284.
    13. Marco Runkel, 2022. "Player Mobility and Competitive Balance Regulation in Professional Sports Leagues," Journal of Sports Economics, , vol. 23(4), pages 479-500, May.
    14. Marco Sahm, 2010. "The Contest Winner: Gifted or Venturesome?," CESifo Working Paper Series 3285, CESifo.
    15. Minchuk, Yizhaq & Sela, Aner, 2023. "Subsidy and taxation in all-pay auctions under incomplete information," Games and Economic Behavior, Elsevier, vol. 140(C), pages 99-114.
    16. Aner Sela & Yizhaq Minchuk, 2024. "Carrots and sticks: collaboration of taxation and subsidies in contests," Working Papers 2407, Ben-Gurion University of the Negev, Department of Economics.
    17. Einav Hart & Judith Avrahami & Yaakov Kareev & Peter M. Todd, 2014. "Investing Even in Uneven Contests: Effects of Asymmetry on Investment in Experimental All-Pay Contests," Discussion Paper Series dp660, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    18. Marco Runkel, 2011. "Revenue Sharing, Competitive Balance and the Contest Success Function," German Economic Review, Verein für Socialpolitik, vol. 12(3), pages 256-273, August.
    19. Epstein, Gil S. & Mealem, Yosef, 2013. "Politicians, Governed vs. Non-Governed Interest Groups and Rent Dissipation," IZA Discussion Papers 7736, Institute of Labor Economics (IZA).
    20. Dietl Helmut M & Lang Markus & Rathke Alexander, 2009. "The Effect of Salary Caps in Professional Team Sports on Social Welfare," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-23, April.
    21. 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.
    22. Dongryul Lee & Joon Song, 2019. "Optimal Team Contests to Induce More Efforts," Journal of Sports Economics, , vol. 20(3), pages 448-476, April.
    23. Gil Epstein & Yosef Mealem, 2015. "Politicians, governed versus non-governed interest groups and rent dissipation," Theory and Decision, Springer, vol. 79(1), pages 133-149, July.
    24. Fu, Qiang & Wu, Zenan, 2020. "On the optimal design of biased contests," Theoretical Economics, Econometric Society, vol. 15(4), November.
    25. Robert Ritz, 2008. "Influencing rent-seeking contests," Public Choice, Springer, vol. 135(3), pages 291-300, 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. 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.
    2. 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.
    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, 2003. "Optimal Contest Design when the Designer’s Payoff Depends on Competitive Balance," CESifo Working Paper Series 1009, CESifo.
    5. Epstein, Gil S. & Mealem, Yosef & Nitzan, Shmuel, 2011. "Political culture and discrimination in contests," Journal of Public Economics, Elsevier, vol. 95(1), pages 88-93.
    6. 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.
    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. Gil S. Epstein & Yosef Mealem, 2013. "Politicians, Governed vs. Non-Governed Interest Groups and Rent Dissipation," Working Papers 2013-09, Bar-Ilan University, Department of Economics.
    9. Szymanski, Stefan & Valletti, Tommaso M., 2005. "Incentive effects of second prizes," European Journal of Political Economy, Elsevier, vol. 21(2), pages 467-481, June.
    10. Gil Epstein & Yosef Mealem, 2015. "Politicians, governed versus non-governed interest groups and rent dissipation," Theory and Decision, Springer, vol. 79(1), pages 133-149, July.
    11. Chiappinelli, Olga, 2014. "An elimination contest with non-sunk bids," MPRA Paper 56140, University Library of Munich, Germany.
    12. E. Feess & Gerd Muehlheusser & M. Walzl, 2008. "Unfair contests," Journal of Economics, Springer, vol. 93(3), pages 267-291, April.
      • Feess, E. & Muehlheusser, G. & Walzl, M., 2004. "Unfair contests," Research Memorandum 048, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    13. Sheremeta, Roman, 2009. "Essays on Experimental Investigation of Lottery Contests," MPRA Paper 49888, University Library of Munich, Germany.
    14. 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.
    15. 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.
    16. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    17. Helmut Dietl & Egon Franck & Martin Grossmann & Markus Lang, 2009. "Contest Theory and its Applications in Sports," Working Papers 0029, University of Zurich, Center for Research in Sports Administration (CRSA).
    18. Barbieri, Stefano & Serena, Marco, 2022. "Biasing dynamic contests between ex-ante symmetric players," Games and Economic Behavior, Elsevier, vol. 136(C), pages 1-30.
    19. Martin Grossmann, 2011. "Endogenous Liquidity Constraints in a Dynamic Contest," Working Papers 0148, University of Zurich, Institute for Strategy and Business Economics (ISU).
    20. William Stein & Amnon Rapoport, 2005. "Symmetric two-stage contests with budget constraints," Public Choice, Springer, vol. 124(3), pages 309-328, September.

    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:kap:pubcho:v:129:y:2006:i:1:p:217-231. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.