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The Max-Min Group Contest

  • Subhasish M. Chowdhury

    (University of East Anglia)

  • Dongryul Lee

    (Sungshin University)

  • Iryna Topolyan

    (Mississippi State University)

We investigate a group all-pay auction with weakest-link impact function and group-specific public good prize. Since only the minimum effort exerted among all group members represents the group effort and the group with the maximum group effort wins the contest, this is termed as the `Max-Min group contest'. Examples of such structure include various sporting events, territorial conicts, negative product or political campaigns etc. We fully characterize equilibria for the case of two groups and show that a continuum of pure strategy equilibria exist, in which all (active) players exert the same effort. A semi-pure strategy equilibrium may also exist in which all the members of one group play the same pure strategy whereas all the members of the other group play the same mixed strategy. There are two types of non-degenerate mixed strategy equilibria - with and without continuous supports. When either type of such equilibrium exists, it exhibits the same support and effort distribution of group members. We also fully characterize pure strategy equilibria for a general case of n groups and specify candidates for mixed strategy equilibria.

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Paper provided by School of Economics, University of East Anglia, Norwich, UK. in its series University of East Anglia Applied and Financial Economics Working Paper Series with number 050.

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Date of creation: Aug 2013
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Handle: RePEc:uea:aepppr:2012_50
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  1. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer, vol. 8(2), pages 291-305.
  2. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
  3. Kremer, Michael, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 551-75, August.
  4. J. B. Van Huyck & R. C. Battalio & R. O. Beil, 2010. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 661465000000000393, David K. Levine.
  5. Subhasish M. Chowdhury & Dongryul Lee & Roman M. Sheremeta, 2013. "Top Guns May Not Fire: Best-Shot Group Contests with Group-Specific Public Good Prizes," Working Papers 13-12, Chapman University, Economic Science Institute.
  6. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
  7. Riaz, Khalid & Shogren, Jason F. & Johnson, Stanley R., 1995. "A General Model of Rent Seeking for Public Goods," Staff General Research Papers 861, Iowa State University, Department of Economics.
  8. Richard Cornes & Roger Hartley, 2006. "Weak Links, Good Shots and other PublicGood Games: Building on BBV," The School of Economics Discussion Paper Series 0624, Economics, The University of Manchester.
  9. Glen W. Harrison & Jack Hirshleifer, 1998. "An experimental evaluation of weakest link/best shot models of public goods," Levine's Working Paper Archive 299, David K. Levine.
  10. Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September.
  11. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 2001. "Minimum-Effort Coordination Games: Stochastic Potential and Logit Equilibrium," Games and Economic Behavior, Elsevier, vol. 34(2), pages 177-199, February.
  12. Arce M, Daniel G, 2001. "Leadership and the Aggregation of International Collective Action," Oxford Economic Papers, Oxford University Press, vol. 53(1), pages 114-37, January.
  13. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. " Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
  14. Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, vol. 41(3), pages 371-386, January.
  15. Heinrich W. Ursprung, 1990. "Public Goods, Rent Dissipation, And Candidate Competition," Economics and Politics, Wiley Blackwell, vol. 2(2), pages 115-132, 07.
  16. Dan Kovenock & Brian Roberson, 2010. "The Optimal Defense of Networks of Targets," Purdue University Economics Working Papers 1251, Purdue University, Department of Economics.
  17. Baik, Kyung Hwan & Kim, In-Gyu & Na, Sunghyun, 2001. "Bidding for a group-specific public-good prize," Journal of Public Economics, Elsevier, vol. 82(3), pages 415-429, December.
  18. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  19. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
  20. Sandler, Todd & Vicary, Simon, 2001. "Weakest-link public goods: giving in-kind or transferring money in a sequential game," Economics Letters, Elsevier, vol. 74(1), pages 71-75, December.
  21. Subhasish M. Chowdhury & Iryna Topolyan, 2013. "The Attack-and-Defence Group Contests," University of East Anglia Applied and Financial Economics Working Paper Series 049, School of Economics, University of East Anglia, Norwich, UK..
  22. Subhashish Modak Chowdhury, 2009. "The all-pay auction with non-monotonic payoff," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-09, School of Economics, University of East Anglia, Norwich, UK..
  23. Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer, vol. 30(1), pages 103-117, January.
  24. Lei, Vivian & Tucker, Steven & Vesely, Filip, 2007. "Foreign aid and weakest-link international public goods: An experimental study," European Economic Review, Elsevier, vol. 51(3), pages 599-623, April.
  25. Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information 9409002, EconWPA.
  26. Krishna, Kala, 1989. "Trade restrictions as facilitating practices," Journal of International Economics, Elsevier, vol. 26(3-4), pages 251-270, May.
  27. 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.
  28. Dijkstra, Bouwe R., 1998. "Cooperation by way of support in a rent seeking contest for a public good," European Journal of Political Economy, Elsevier, vol. 14(4), pages 703-725, November.
  29. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
  30. Vicary, Simon, 1990. "Transfers and the weakest-link : An extension of Hirshleifer's analysis," Journal of Public Economics, Elsevier, vol. 43(3), pages 375-394, December.
  31. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
  32. Vicary, Simon & Sandler, Todd, 2002. "Weakest-link public goods: Giving in-kind or transferring money," European Economic Review, Elsevier, vol. 46(8), pages 1501-1520, September.
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