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Top Guns May Not Fire: Best-Shot Group Contests with Group-Specific Public Good Prizes

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  • Subhasish M. Chowdhury

    ()
    (School of Economics, University of East Anglia)

  • Dongryul Lee

    (School of Technology Management, UNIST)

  • Roman M. Sheremeta

    (Argyros School of Business and Economics, Chapman University)

Abstract

We analyze a group contest in which n groups compete to win a group-specific public good prize. Group sizes can be different and any individual player may value the prize differently within and across groups. Players expend costly efforts simultaneously and independently. Only the highest effort (the best-shot) within each group represents the group effort and the winning group is determined by a contest success function. We fully characterize the set of equilibria and show that in any equilibrium at most one player in each group exerts strictly positive effort. There always exists an equilibrium in which only the highest value player in each active group expends positive effort and the contest is reduced to an individual contest between individual players. However, there may also be equilibria in which the highest value players completely free ride on others by exerting no effort. We provide conditions under which this can be avoided and discuss contest design implications.

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Bibliographic Info

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 024.

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Date of creation: 15 Mar 2011
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Handle: RePEc:uea:aepppr:2011_24

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Keywords: Best-shot technology; Group contest; Group-specific public goods;

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References

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  1. Dechenaux, Emmanuel & Kovenock, Dan & Sheremeta, Roman M., 2012. "A survey of experimental research on contests, all-pay auctions and tournaments," Discussion Papers, Research Professorship & Project "The Future of Fiscal Federalism" SP II 2012-109, Social Science Research Center Berlin (WZB).
  2. Roman Sheremeta, 2010. "Perfect-Substitutes, Best-Shot, and Weakest-Link Contests between Groups," Working Papers 10-25, Chapman University, Economic Science Institute.
  3. Konrad, Kai A. & Kovenock, Dan, 2006. "Multi-battle contests," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 122, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  4. 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.
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  7. Chowdhury, Subhasish M. & Sheremeta, Roman M., 2011. "Multiple equilibria in Tullock contests," Economics Letters, Elsevier, vol. 112(2), pages 216-219, August.
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  11. Klaus Abbink & Jordi Brandts & Benedikt Herrmann & Henrik Orzen, 2008. "Inter-Group Conflict and Intra-Group Punishment in an Experimental Contest Game," UFAE and IAE Working Papers 723.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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  15. Sheremeta, Roman & Zhang, Jingjing, 2009. "Can Groups Solve the Problem of Over-Bidding in Contests?," MPRA Paper 49885, University Library of Munich, Germany.
  16. Luca Dall’Asta & Paolo Pin & Abolfazl Ramezanpour, 2011. "Optimal Equilibria of the Best Shot Game," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(6), pages 885-901, December.
  17. Stein, William E, 2002. " Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-36, December.
  18. Martin Kolmar & martin.kolmar@unisg.ch & Andreas Wagener, 2012. "Contests and the Private Production of Public Goods," Southern Economic Journal, Southern Economic Association, vol. 79(1), pages 161-179, July.
  19. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
  20. Deck, Cary & Sheremeta, Roman, 2012. "Fight or Flight?," MPRA Paper 52130, University Library of Munich, Germany.
  21. Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer, vol. 30(1), pages 103-117, January.
  22. Cason, Timothy N. & Sheremeta, Roman M. & Zhang, Jingjing, 2012. "Communication and efficiency in competitive coordination games," Games and Economic Behavior, Elsevier, vol. 76(1), pages 26-43.
  23. Bliss, Christopher & Nalebuff, Barry, 1984. "Dragon-slaying and ballroom dancing: The private supply of a public good," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 1-12, November.
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Citations

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Cited by:
  1. Kolmar, Martin, 2013. "Group Conflicts. Where do we stand?," Economics Working Paper Series 1331, University of St. Gallen, School of Economics and Political Science.
  2. Subhasish M. Chowdhury & Dongryul Lee & Iryna Topolyan, 2013. "The Max-Min Group Contest," University of East Anglia Applied and Financial Economics Working Paper Series 050, School of Economics, University of East Anglia, Norwich, UK..
  3. Cason, Timothy & Sheremeta, Roman & Zhang, Jingjing, 2012. "Communication and Efficiency in Competitive Coordination Games," MPRA Paper 52107, University Library of Munich, Germany.
  4. Stefano Barbieri & David Malueg, 2014. "Group efforts when performance is determined by the “best shot”," Economic Theory, Springer, vol. 56(2), pages 333-373, June.
  5. Jay Pil Choi & Subhasish M. Chowdhury & Jaesoo Kim, 2011. "Group Contests with Internal Conflict and Power Asymmetry," University of East Anglia Applied and Financial Economics Working Paper Series 025, School of Economics, University of East Anglia, Norwich, UK..
  6. 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..
  7. Philip Brookins & John Lightle & Dmitry Ryvkin, 2014. "An experimental study of sorting in group contests," Working Papers wp2014_01_01, Department of Economics, Florida State University.

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