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

  • Chowdhury, Subhasish
  • Lee, Dongryul
  • Sheremeta, Roman

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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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 46654.

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Date of creation: 27 Apr 2013
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Handle: RePEc:pra:mprapa:46654
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  1. Klaus Abbink & Jordi Brandts & Benedikt Herrmann & Henrik Orzen, 2009. "Inter-Group Conflict and Intra-Group Punishment in an Experimental Contest Game," Discussion Papers 2009-03, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  2. 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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  6. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Munich Reprints in Economics 22084, University of Munich, Department of Economics.
  7. 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.
  8. 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.
  9. Chowdhury, Subhasish & Sheremeta, Roman, 2011. "Multiple Equilibria in Tullock Contests," MPRA Paper 52104, University Library of Munich, Germany.
  10. 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.
  11. Roman Sheremeta & Jingjing Zhang, 2010. "Can groups solve the problem of over-bidding in contests?," Social Choice and Welfare, Springer, vol. 35(2), pages 175-197, July.
  12. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
  13. 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.
  14. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
  15. Cason, Timothy & Sheremeta, Roman & Zhang, Jingjing, 2012. "Communication and Efficiency in Competitive Coordination Games," MPRA Paper 52107, University Library of Munich, Germany.
  16. Sheremeta, Roman, 2011. "Perfect-Substitutes, Best-Shot, and Weakest-Link Contests between Groups," MPRA Paper 52105, University Library of Munich, Germany.
  17. Barr, Nicholas, 2004. "Economics of the Welfare State," OUP Catalogue, Oxford University Press, edition 4, number 9780199264971, March.
  18. 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.
  19. Stein, William E, 2002. " Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-36, December.
  20. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
  21. 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.
  22. 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.
  23. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. " Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
  24. 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.
  25. Cary Deck & Roman M. Sheremeta, 2012. "Fight or Flight?," Journal of Conflict Resolution, Peace Science Society (International), vol. 56(6), pages 1069-1088, December.
  26. Martin Kolmar & Hendrik Rommeswinkel, 2010. "Group Contests with Complementarities in Efforts," CESifo Working Paper Series 3136, CESifo Group Munich.
  27. 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.
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