IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp5186.html
   My bibliography  Save this paper

Splitting Tournaments

Author

Listed:
  • Leuven, Edwin

    (University of Oslo)

  • Oosterbeek, Hessel

    (University of Amsterdam)

  • van der Klaauw, Bas

    (Vrije Universiteit Amsterdam)

Abstract

In this paper we investigate how heterogeneous agents choose among tournaments with different prizes. We show that if the number of agents is sufficiently small, multiple equilibria can arise. Depending on how the prize money is split over the tournaments, these may include, for example, a perfect-sorting equilibrium in which high-ability agents compete in the high-prize tournament, while low-ability agents compete for the low prize. However, there are also equilibria in which agents follow a mixed strategy and there can be reverse sorting, i.e. low-ability agents are in the tournament with the high prize, while high-ability agents are in the low-prize tournament. We show that total effort always decreases compared to a single tournament. However, splitting the tournament may increase the effort of low-ability agents.

Suggested Citation

  • Leuven, Edwin & Oosterbeek, Hessel & van der Klaauw, Bas, 2010. "Splitting Tournaments," IZA Discussion Papers 5186, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp5186
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp5186.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
    3. Edwin Leuven & Hessel Oosterbeek & Joep Sonnemans & Bas van der Klaauw, 2011. "Incentives versus Sorting in Tournaments: Evidence from a Field Experiment," Journal of Labor Economics, University of Chicago Press, vol. 29(3), pages 637-658.
    4. Andrew Schotter & Keith Weigelt, 1992. "Asymmetric Tournaments, Equal Opportunity Laws, and Affirmative Action: Some Experimental Results," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 511-539.
    5. Uwe Sunde, 2009. "Heterogeneity and performance in tournaments: a test for incentive effects using professional tennis data," Applied Economics, Taylor & Francis Journals, vol. 41(25), pages 3199-3208.
    6. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    7. Green, Jerry R & Stokey, Nancy L, 1983. "A Comparison of Tournaments and Contracts," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 349-364, June.
    8. Ghazala Azmat & Marc Möller, 2009. "Competition among contests," RAND Journal of Economics, RAND Corporation, vol. 40(4), pages 743-768, December.
    9. 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.
    10. Ehrenberg, Ronald G & Bognanno, Michael L, 1990. "Do Tournaments Have Incentive Effects?," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1307-1324, December.
    11. Harbring, Christine & Irlenbusch, Bernd, 2003. "An experimental study on tournament design," Labour Economics, Elsevier, vol. 10(4), pages 443-464, August.
    12. Bull, Clive & Schotter, Andrew & Weigelt, Keith, 1987. "Tournaments and Piece Rates: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 1-33, February.
    13. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-289, March.
    14. Glazer, Amihai & Hassin, Refael, 1988. "Optimal Contests," Economic Inquiry, Western Economic Association International, vol. 26(1), pages 133-143, January.
    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. 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.
    2. De Paola, Maria & Gioia, Francesca & Scoppa, Vincenzo, 2018. "The adverse consequences of tournaments: Evidence from a field experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 151(C), pages 1-18.
    3. Loukas Balafoutas & E. Glenn Dutcher & Florian Lindner & Dmitry Ryvkin, 2017. "The Optimal Allocation Of Prizes In Tournaments Of Heterogeneous Agents," Economic Inquiry, Western Economic Association International, vol. 55(1), pages 461-478, January.
    4. 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.
    5. Sheremeta, Roman, 2009. "Essays on Experimental Investigation of Lottery Contests," MPRA Paper 49888, University Library of Munich, Germany.
    6. Bernd Irlenbusch, 2006. "Experimental perspectives on incentives in organisations," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(1), pages 1-24, February.
    7. Chirok Han & Changhui Kang & Sam-Ho Lee, 2016. "Measuring Effort Incentives In A Tournament With Many Participants: Theory And Application," Economic Inquiry, Western Economic Association International, vol. 54(2), pages 1240-1250, April.
    8. Ghazala Azmat & Marc Möller, 2018. "The Distribution of Talent Across Contests," Economic Journal, Royal Economic Society, vol. 128(609), pages 471-509, March.
    9. Tor Eriksson & Sabrina Teyssier & Marie‐Claire Villeval, 2009. "Self‐Selection And The Efficiency Of Tournaments," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 530-548, July.
    10. Dmitry Ryvkin & Andreas Ortmann, 2008. "The Predictive Power of Three Prominent Tournament Formats," Management Science, INFORMS, vol. 54(3), pages 492-504, March.
    11. Linnemer, Laurent & Visser, Michael, 2016. "Self-selection in tournaments: The case of chess players," Journal of Economic Behavior & Organization, Elsevier, vol. 126(PA), pages 213-234.
    12. Josse Delfgaauw & Robert Dur & Arjan Non & Willem Verbeke, 2015. "The Effects of Prize Spread and Noise in Elimination Tournaments: A Natural Field Experiment," Journal of Labor Economics, University of Chicago Press, vol. 33(3), pages 521-569.
    13. Benny Moldovanu & Aner Sela & Xianwen Shi, 2012. "Carrots And Sticks: Prizes And Punishments In Contests," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 453-462, April.
    14. Migheli, Matteo, 2019. "Competing for promotion: Are “THE BEST” always the best?," Research in Economics, Elsevier, vol. 73(2), pages 149-161.
    15. Bastani, Spencer & Giebe, Thomas & Gürtler, Oliver, 2022. "Simple equilibria in general contests," Games and Economic Behavior, Elsevier, vol. 134(C), pages 264-280.
    16. Dahm, Matthias & Esteve-González, Patricia, 2018. "Affirmative action through extra prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 123-142.
    17. Christine Harbring & Bernd Irlenbusch, 2004. "Anreize zu produktiven und destruktiven Anstrengungen durch relative Entlohnung," Schmalenbach Journal of Business Research, Springer, vol. 56(6), pages 546-576, September.
    18. Johannes Berger & Petra Nieken, 2016. "Heterogeneous Contestants and the Intensity of Tournaments," Journal of Sports Economics, , vol. 17(7), pages 631-660, October.
    19. Edwin Leuven & Hessel Oosterbeek & Joep Sonnemans & Bas van der Klaauw, 2011. "Incentives versus Sorting in Tournaments: Evidence from a Field Experiment," Journal of Labor Economics, University of Chicago Press, vol. 29(3), pages 637-658.
    20. Tor Eriksson & Sabrina Teyssier & Marie Claire Villeval, 2006. "Effort Self-Selection and the Efficiency of Tournaments," Post-Print halshs-00142876, HAL.

    More about this item

    Keywords

    self-selection; tournament; heterogeneous agents; social planner;
    All these keywords.

    JEL classification:

    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D04 - Microeconomics - - General - - - Microeconomic Policy: Formulation; Implementation; Evaluation

    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:iza:izadps:dp5186. 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: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.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.