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Group Contests with Complementarities in Efforts

  • Martin Kolmar
  • Hendrik Rommeswinkel

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.

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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 3136.

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Date of creation: 2010
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Handle: RePEc:ces:ceswps:_3136
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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 777-95, December.
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  6. 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.
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  8. Nitzan, Shmuel, 1991. "Collective Rent Dissipation," Economic Journal, Royal Economic Society, vol. 101(409), pages 1522-34, November.
  9. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
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  11. 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.
  12. Michelle R. Garfinkel & Stergios Skaperdas, 2006. "Economics of Conflict: An Overview," Working Papers 050623, University of California-Irvine, Department of Economics, revised Sep 2006.
  13. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. " Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
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