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

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Author Info

  • Subhasish M. Chowdhury

    (University of East Anglia, Norwich)

  • Dongryul Lee

    ()
    (Department of Economics, Sungshin University, Seoul)

  • Roman M. Sheremeta

    (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 player may value the prize differently within and across groups. Players exert costly efforts simultaneously and independently. Only the highest effort (the best-shot) within each group represents the group effort that determines the winning group. 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 exerts strictly positive effort. However, perverse equilibria may exist in which the highest value players completely free-ride on others by exerting no effort. We provide conditions under which the set of equilibria can be restricted and discuss contest design implications.

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Bibliographic Info

Paper provided by Chapman University, Economic Science Institute in its series Working Papers with number 13-12.

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Length: 28 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:chu:wpaper:13-12

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Keywords: best-shot technology; group contest; group-specific public goods; free-riding;

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References

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  1. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2012. "A Survey of Experimental Research on Contests, All-Pay Auctions and Tournaments," Working Papers 12-22, Chapman University, Economic Science Institute.
  2. J. Hirshleifer, 1985. "From weakest-link to best-shot: Correction," Public Choice, Springer, vol. 46(2), pages 221-223, January.
  3. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 218-244.
  4. 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.
  5. Roman M. Sheremeta & Jingjing Zhang, 2009. "Can Groups Solve the Problem of Overbidding in Contests?," Department of Economics Working Papers 2009-05, McMaster University.
  6. Cary Deck & Roman M. Sheremeta, 2012. "Fight or Flight?," Journal of Conflict Resolution, Peace Science Society (International), vol. 56(6), pages 1069-1088, December.
  7. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. " Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
  8. Harrison, Glenn W & Hirshleifer, Jack, 1989. "An Experimental Evaluation of Weakest Link/Best Shot Models of Public Goods," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 201-25, February.
  9. Subhashish Modak Chowdhury & Roman M. Sheremeta, 2010. "Multiple equilibria in Tullock contests," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 10-12, School of Economics, University of East Anglia, Norwich, UK..
  10. Cason, Timothy & Sheremeta, Roman & Zhang, Jingjing, 2012. "Communication and Efficiency in Competitive Coordination Games," MPRA Paper 52107, University Library of Munich, Germany.
  11. 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.
  12. Barr, Nicholas, 2004. "Economics of the Welfare State," OUP Catalogue, Oxford University Press, edition 4, number 9780199264971, September.
  13. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
  14. Klaus Abbink & Jordi Brandts & Benedikt Herrmann & Henrik Orzen, 2007. "Inter-Group Conflict and Intra-Group Punishment in an Experimental Contest Game," Working Papers 328, Barcelona Graduate School of Economics.
  15. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
  16. 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.
  17. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
  18. Cornes, Richard, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 259-71, February.
  19. 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.
  20. 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.
  21. Ahn, T.K. & Isaac, R. Mark & Salmon, Timothy C., 2011. "Rent seeking in groups," International Journal of Industrial Organization, Elsevier, vol. 29(1), pages 116-125, January.
  22. Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer, vol. 30(1), pages 103-117, January.
  23. 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.
  24. 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.
  25. Sheremeta, Roman, 2011. "Perfect-Substitutes, Best-Shot, and Weakest-Link Contests between Groups," MPRA Paper 52105, University Library of Munich, Germany.
  26. Martin Kolmar & Hendrik Rommeswinkel, 2010. "Group Contests with Complementarities in Efforts," CESifo Working Paper Series 3136, CESifo Group Munich.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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..
  4. 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..
  5. 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..
  6. Kolmar, Martin, 2013. "Group Conflicts. Where do we stand?," Economics Working Paper Series 1331, University of St. Gallen, School of Economics and Political Science.
  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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