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Group Contests with Complementarities in Efforts

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  • Martin Kolmar
  • Hendrik Rommeswinkel

Abstract

Usually, groups increase their productivity by the specialization of their group members. In these cases, group output is no longer simply a sum of individual outputs. We analyze contests with group-specific public goods that allow for different degrees of complementarity between group members’ efforts. More specifically, we use a Tullock contest success function and a CES-impact function. We show that in equilibrium the degree of complementarity is irrelevant if groups do not differ in size and group members have an identical valuation of the public good. The equilibrium is discontinuous as the CES function converges to the Cobb-Douglas case. Except for the effects at the discontinuity, higher complementarity tends to favor larger groups. In groups with diverse valuations, higher complementarity also leads to higher similarity in group members’ efforts, which however is not necessarily an advantage for a more diverse group.

Suggested Citation

  • Martin Kolmar & Hendrik Rommeswinkel, 2010. "Group Contests with Complementarities in Efforts," CESifo Working Paper Series 3136, CESifo Group Munich.
  • Handle: RePEc:ces:ceswps:_3136
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    File URL: http://www.cesifo-group.de/DocDL/cesifo1_wp3136.pdf
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    References listed on IDEAS

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    1. Alchian, Armen A & Demsetz, Harold, 1972. "Production , Information Costs, and Economic Organization," American Economic Review, American Economic Association, vol. 62(5), pages 777-795, December.
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    3. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    4. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    5. Nitzan, Shmuel, 1991. "Rent-Seeking with Non-identical Sharing Rules," Public Choice, Springer, vol. 71(1-2), pages 43-50, August.
    6. Stein, William E, 2002. "Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-336, December.
    7. Gil Epstein & Yosef Mealem, 2009. "Group specific public goods, orchestration of interest groups with free riding," Public Choice, Springer, vol. 139(3), pages 357-369, June.
    8. Nitzan, Shmuel & Ueda, Kaoru, 2009. "Collective contests for commons and club goods," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 48-55, February.
    9. Garfinkel, Michelle R. & Skaperdas, Stergios, 2007. "Economics of Conflict: An Overview," Handbook of Defense Economics, Elsevier.
    10. Nitzan, Shmuel, 1991. "Collective Rent Dissipation," Economic Journal, Royal Economic Society, vol. 101(409), pages 1522-1534, November.
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    Cited by:

    1. Yu-Fu Chen & Michael Funke, 2010. "Global Warming And Extreme Events: Rethinking The Timing And Intensity Of Environmental Policy," Dundee Discussion Papers in Economics 236, Economic Studies, University of Dundee.
    2. Elsayyad, May & Konrad, Kai A., 2012. "Fighting multiple tax havens," Journal of International Economics, Elsevier, vol. 86(2), pages 295-305.
    3. Chowdhury, Subhasish M. & Lee, Dongryul & Sheremeta, Roman M., 2013. "Top guns may not fire: Best-shot group contests with group-specific public good prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 94-103.

    More about this item

    Keywords

    contests; public goods;

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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