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Heterogeneity of Players and Aggregate Effort in Contests

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. Fu, Qiang & Lu, Jingfeng, 2007. "Unifying Contests: from Noisy Ranking to Ratio-Form Contest Success Functions," MPRA Paper 6617, University Library of Munich, Germany.
    3. 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.
    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. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    10. Ryvkin, Dmitry, 2011. "The optimal sorting of players in contests between groups," Games and Economic Behavior, Elsevier, vol. 73(2), pages 564-572.
    11. Edward P. Lazear, 1999. "Personnel Economics: Past Lessons and Future Directions," NBER Working Papers 6957, National Bureau of Economic Research, Inc.
    12. 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.
    13. Rodney Fort & Joel Maxcy, 2003. "“Competitive Balance in Sports Leagues: An Introductionâ€," Journal of Sports Economics, , vol. 4(2), pages 154-160, May.
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    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. Boosey, Luke & Brookins, Philip & Ryvkin, Dmitry, 2019. "Contests between groups of unknown size," Games and Economic Behavior, Elsevier, vol. 113(C), pages 756-769.
    3. 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.
    4. 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.
    5. 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).
    6. 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.
    7. 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.
    8. 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".
    9. 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.
    10. 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.
    11. St-Pierre, Marc, 2016. "The role of inequality on effort in tournaments," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 38-52.
    12. Grandjean, G. & Tellone, D. & Vergote, W., 2017. "Endogenous network formation in a Tullock contest," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 1-10.
    13. 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.
    14. 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.
    15. 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.
    16. Mihailo Radoman, 2017. "Labor Market Implications of Institutional Changes in European Football," Journal of Sports Economics, , vol. 18(7), pages 651-672, October.
    17. 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.

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