IDEAS home Printed from https://ideas.repec.org/a/bla/jemstr/v22y2013i4p728-743.html
   My bibliography  Save this article

Heterogeneity of Players and Aggregate Effort in Contests

Author

Listed:
  • Dmitry Ryvkin

Abstract

We explore the systematic effects of variation in players' heterogeneity on aggregate effort in contests. We show that if costs of effort are convex, a mean‐preserving increase in the variation of players' abilities can lead to an increase or decrease in aggregate effort, both in contests of complete and incomplete information, depending on the curvature of the effort cost function. Specifically, if effort costs are not too steep, aggregate effort increases in ability variation, whereas if effort costs are sufficiently steep, aggregate effort decreases in ability variation.

Suggested Citation

  • Dmitry Ryvkin, 2013. "Heterogeneity of Players and Aggregate Effort in Contests," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(4), pages 728-743, December.
  • Handle: RePEc:bla:jemstr:v:22:y:2013:i:4:p:728-743
    DOI: 10.1111/jems.12028
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/jems.12028
    Download Restriction: no

    File URL: https://libkey.io/10.1111/jems.12028?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
    ---><---

    References listed on IDEAS

    as
    1. Martin Grossmann & Helmut Dietl & Markus Lang, 2010. "Revenue Sharing and Competitive Balance in a Dynamic Contest Model," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 36(1), pages 17-36, February.
    2. Stefan Szymanski, 2010. "Income Inequality, Competitive Balance and the Attractiveness of Team Sports: Some Evidence and a Natural Experiment from English Soccer," Palgrave Macmillan Books, in: Football Economics and Policy, chapter 9, pages 182-201, Palgrave Macmillan.
    3. Fu, Qiang & Lu, Jingfeng, 2007. "Unifying Contests: from Noisy Ranking to Ratio-Form Contest Success Functions," MPRA Paper 6679, University Library of Munich, Germany.
    4. Stefan Szymanski & Stefan Késenne, 2010. "Competitive Balance and Gate Revenue Sharing in Team Sports," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 7, pages 229-243, Palgrave Macmillan.
    5. Ryvkin, Dmitry, 2011. "The optimal sorting of players in contests between groups," Games and Economic Behavior, Elsevier, vol. 73(2), pages 564-572.
    6. Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-890, September.
    7. Edward P. Lazear, 1999. "Personnel Economics: Past Lessons and Future Directions," NBER Working Papers 6957, National Bureau of Economic Research, Inc.
    8. 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.
    9. Dmitry Ryvkin, 2009. "Tournaments of Weakly Heterogeneous Players," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(5), pages 819-855, October.
    10. Lazear, Edward P, 1999. "Personnel Economics: Past Lessons and Future Directions: Presidential Address to the Society of Labor Economists, San Francisco, May 1, 1998," Journal of Labor Economics, University of Chicago Press, vol. 17(2), pages 199-236, April.
    11. Garfinkel, Michelle R. & Skaperdas, Stergios, 2007. "Economics of Conflict: An Overview," Handbook of Defense Economics, in: Keith Hartley & Todd Sandler (ed.), Handbook of Defense Economics, edition 1, volume 2, chapter 22, pages 649-709, Elsevier.
    12. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    13. Rodney Fort & Joel Maxcy, 2003. "“Competitive Balance in Sports Leagues: An Introductionâ€," Journal of Sports Economics, , vol. 4(2), pages 154-160, May.
    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. Dahm, Matthias & Esteve-González, Patricia, 2018. "Affirmative action through extra prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 123-142.
    2. Francesco Fallucchi & Enrique Fatas & Felix Kölle & Ori Weisel, 2021. "Not all group members are created equal: heterogeneous abilities in inter-group contests," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 669-697, June.
    3. Francesco Trevisan, 2020. "Optimal prize allocations in group contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 431-451, October.
    4. Llorente-Saguer, Aniol & Sheremeta, Roman M. & Szech, Nora, 2023. "Designing contests between heterogeneous contestants: An experimental study of tie-breaks and bid-caps in all-pay auctions," European Economic Review, Elsevier, vol. 154(C).
    5. St-Pierre, Marc, 2016. "The role of inequality on effort in tournaments," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 38-52.
    6. Grandjean, G. & Tellone, D. & Vergote, W., 2017. "Endogenous network formation in a Tullock contest," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 1-10.
    7. Christian Deutscher & Marco Sahm & Sandra Schneemann & Hendrik Sonnabend, 2019. "Strategic Investment Decisions in Multi-stage Contests with Heterogeneous Players," CESifo Working Paper Series 7474, CESifo.
    8. Laica, Christoph & Lauber, Arne & Sahm, Marco, 2021. "Sequential round-robin tournaments with multiple prizes," Games and Economic Behavior, Elsevier, vol. 129(C), pages 421-448.
    9. Mingye Ma & Francesco Trevisan, 2023. "An Experiment on Inequality within Groups in Contest," Working Papers 2023: 30, Department of Economics, University of Venice "Ca' Foscari".
    10. Derek J. Clark & Tore Nilssen, 2022. "Fatter or fitter? On rewarding and training in a contest," Economic Inquiry, Western Economic Association International, vol. 60(1), pages 101-120, January.
    11. Michael Babington & Sebastian J. Goerg & Carl Kitchens, 2020. "Do Tournaments With Superstars Encourage or Discourage Competition?," Journal of Sports Economics, , vol. 21(1), pages 44-63, January.
    12. Mihailo Radoman, 2017. "Labor Market Implications of Institutional Changes in European Football," Journal of Sports Economics, , vol. 18(7), pages 651-672, October.
    13. 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.
    14. Fabian Dietz & Marco Sahm, 2024. "Fairness in Round-Robin Tournaments with Four Players and Endogenous Sequences," CESifo Working Paper Series 11145, CESifo.
    15. Boosey, Luke & Brookins, Philip & Ryvkin, Dmitry, 2019. "Contests between groups of unknown size," Games and Economic Behavior, Elsevier, vol. 113(C), pages 756-769.
    16. Dietz, Fabian & Sahm, Marco, 2024. "Fairness in round-robin tournaments with four players and endogenous sequences," BERG Working Paper Series 193, Bamberg University, Bamberg Economic Research Group.
    17. Christian Deutscher & Marco Sahm & Sandra Schneemann & Hendrik Sonnabend, 2022. "Strategic investment decisions in multi-stage contests with heterogeneous players," Theory and Decision, Springer, vol. 93(2), pages 281-317, September.
    18. Liang, Liang & Chen, Jingxian & Siqueira, Kevin, 2020. "Revenge or continued attack and defense in defender–attacker conflicts," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1180-1190.
    19. Gallice, Andrea, 2017. "An approximate solution to rent-seeking contests with private information," European Journal of Operational Research, Elsevier, vol. 256(2), pages 673-684.

    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. 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.
    2. 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).
    3. Philip Brookins & Dmitry Ryvkin, 2014. "An experimental study of bidding in contests of incomplete information," Experimental Economics, Springer;Economic Science Association, vol. 17(2), pages 245-261, June.
    4. Oliver Gürtler & Markus Lang & Tim Pawlowski, 2015. "On the Release of Players to National Teams," Journal of Sports Economics, , vol. 16(7), pages 695-713, October.
    5. 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.
    6. repec:fsu:wpaper:wp2014_09_02 is not listed on IDEAS
    7. Brookins, Philip & Lightle, John P. & Ryvkin, Dmitry, 2015. "An experimental study of sorting in group contests," Labour Economics, Elsevier, vol. 35(C), pages 16-25.
    8. Yangguang Huang & Ming He, 2021. "Structural Analysis Of Tullock Contests With An Application To U.S. House Of Representatives Elections," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1011-1054, August.
    9. Dmitry Ryvkin & Andreas Ortmann, 2006. "Three Prominent Tournament Formats: Predictive Power and Costs," CERGE-EI Working Papers wp303, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    10. Michele Bisceglia & Assunta Gabriella Caputi & Luca Grilli & Vincenzo Pacelli, 2018. "Internal Balance and International Competitiveness: Sports Leagues Decision Models," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 4(3), pages 567-578, November.
    11. Dmitry Ryvkin, 2005. "The Predictive Power of Noisy Elimination Tournaments," CERGE-EI Working Papers wp252, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    12. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    13. Dmitry Ryvkin, 2011. "Fatigue in Dynamic Tournaments," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(4), pages 1011-1041, December.
    14. Gallice, Andrea, 2017. "An approximate solution to rent-seeking contests with private information," European Journal of Operational Research, Elsevier, vol. 256(2), pages 673-684.
    15. Vincent (Vincent Peter) Hogan & Patrick Massey, 2020. "Professional Rugby on the Celtic Fringe," Working Papers 202003, School of Economics, University College Dublin.
    16. 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.
    17. Helmut Dietl & Egon Franck & Markus Lang & Alexander Rathke, 2010. "Organizational Differences between U.S. Major Leagues and European Leagues: Implications for Salary Caps," Working Papers 0035, University of Zurich, Center for Research in Sports Administration (CRSA).
    18. Helmut M. Dietl & Martin Grossmann & Markus Lang, 2011. "Competitive Balance and Revenue Sharing in Sports Leagues With Utility-Maximizing Teams," Journal of Sports Economics, , vol. 12(3), pages 284-308, June.
    19. Michael Babington & Sebastian J. Goerg & Carl Kitchens, 2020. "Do Tournaments With Superstars Encourage or Discourage Competition?," Journal of Sports Economics, , vol. 21(1), pages 44-63, January.
    20. Anil Yildizparlak, 2018. "An Application of Contest Success Functions for Draws on European Soccer," Journal of Sports Economics, , vol. 19(8), pages 1191-1212, December.
    21. Markus Lang & Martin Grossmann & Philipp Theiler, 2011. "The Sugar Daddy Game: How Wealthy Investors Change Competition in Professional Team Sports," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 167(4), pages 557-577, December.

    More about this item

    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:bla:jemstr:v:22:y:2013:i:4:p:728-743. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.kellogg.northwestern.edu/research/journals/JEMS/ .

    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.