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The optimal sorting of players in contests between groups

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  • Ryvkin, Dmitry

Abstract

We study how aggregate effort exerted in contests between groups of heterogeneous players depends on the sorting of players into groups. We show that the optimal sorting depends on the curvature of the effort cost function. From the perspective of a contest organizer whose objective is to maximize aggregate effort, it is optimal to sort players in a way that minimizes the variation in ability across groups if the effort cost function is moderately steep. However, for a sufficiently steep effort cost function, the optimal sorting of players may be the one that maximizes the variation in ability across groups.

Suggested Citation

  • Ryvkin, Dmitry, 2011. "The optimal sorting of players in contests between groups," Games and Economic Behavior, Elsevier, vol. 73(2), pages 564-572.
  • Handle: RePEc:eee:gamebe:v:73:y:2011:i:2:p:564-572
    DOI: 10.1016/j.geb.2011.03.002
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Yann Girard & Florian Hett, 2013. "Competitiveness in dynamic group contests: Evidence from combined field and lab data," Working Papers 1303, Gutenberg School of Management and Economics, Johannes Gutenberg-Universit├Ąt Mainz, revised 01 Apr 2013.
    2. Shmuel Nitzan & Kaoru Ueda, 2014. "Cost Sharing in Collective Contests," CESifo Working Paper Series 4825, CESifo Group Munich.
    3. Philip Brookins & John P. Lightle & Dmitry Ryvkin, 2015. "The effects of communication and sorting on output in heterogeneous weak-link group contests," Working Papers wp2014_01_01, Department of Economics, Florida State University.
    4. 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.
    5. Brookins, Philip & Lightle, John P. & Ryvkin, Dmitry, 2015. "Optimal sorting in group contests with complementarities," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 311-323.
    6. NITZAN, Shmuel & UEDA, Kaoru, 2016. "Selective Incentives and Intra-Group Heterogeneity in Collective Contents," Discussion paper series HIAS-E-24, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    7. Roman M. Sheremeta, 2015. "Behavior in Group Contests: A Review of Experimental Research," Working Papers 15-21, Chapman University, Economic Science Institute.
    8. Shmuel Nitzan & Kaoru Ueda, 2014. "Intra-group heterogeneity in collective contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 219-238, June.
    9. repec:fsu:wpaper:wp2014_09_02 is not listed on IDEAS
    10. Kolmar, Martin & Rommeswinkel, Hendrik, 2013. "Contests with group-specific public goods and complementarities in efforts," Journal of Economic Behavior & Organization, Elsevier, vol. 89(C), pages 9-22.
    11. Dmitry Dagaev & Vladimir Yu. Rudyak, 2016. "Seeding the UEFA Champions League Participants: Evaluation of the Reform," HSE Working papers WP BRP 129/EC/2016, National Research University Higher School of Economics.
    12. Babington, Michael & Goerg, Sebastian J. & Kitchens, Carl, 2017. "Do Tournaments with Superstars Encourage or Discourage Competition?," IZA Discussion Papers 10755, Institute for the Study of Labor (IZA).

    More about this item

    Keywords

    Tournament design; Sorting; Contest; Groups; Heterogeneous players;

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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