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The Attack-and-Defence Group Contests

Author

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  • Subhasish M. Chowdhury

    (University of East Anglia)

  • Iryna Topolyan

    (Mississippi State University)

Abstract

This study analyzes a group contest in which one group (defenders) follows a weakest link whereas the other group (attackers) follows a best-shot impact function. We fully characterize the equilibria and show that with symmetric valuation the equilibrium is unique up to the permutation of the identity of the active player in the attacker group. With asymmetric valuation it is always an equilibrium for one of the highest valuation players to be active; it may also be the case that the highest valuation players in group 1 free-ride completely on a player with a lower valuation. However, in any equilibrium, only one player in the attacker group is active, whereas all the players in the defender group are active and exert the same effort. We also characterize equilibria for the case in which one group follows either a best-shot or a weakestlink but the other group follows a perfectly substitute impact function.

Suggested Citation

  • 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..
  • Handle: RePEc:uea:aepppr:2012_49
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    File URL: https://archive.uea.ac.uk/menu/depts/eco/research/RePEc/uea/papers_pdf/UEA-AFE-049.pdf
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    References listed on IDEAS

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    1. Klaus Abbink & Jordi Brandts & Benedikt Herrmann & Henrik Orzen, 2010. "Intergroup Conflict and Intra-group Punishment in an Experimental Contest Game," American Economic Review, American Economic Association, vol. 100(1), pages 420-447, March.
    2. Chowdhury, Subhasish M. & Lee, Dongryul & Sheremeta, Roman M., 2013. "Top guns may not fire: Best-shot group contests with group-specific public good prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 94-103.
    3. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 108(1), pages 259-271.
    4. Hausken, Kjell, 2008. "Strategic defense and attack for series and parallel reliability systems," European Journal of Operational Research, Elsevier, vol. 186(2), pages 856-881, April.
    5. Arun S. Malik, 1990. "Avoidance, Screening and Optimum Enforcement," RAND Journal of Economics, The RAND Corporation, vol. 21(3), pages 341-353, Autumn.
    6. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    7. Dan Kovenock & Brian Roberson, 2010. "The Optimal Defense of Networks of Targets," Purdue University Economics Working Papers 1251, Purdue University, Department of Economics.
    8. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
    9. Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September.
    10. 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.
    11. 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.
    12. 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.
    13. J. Hirshleifer, 1985. "From weakest-link to best-shot: Correction," Public Choice, Springer, vol. 46(2), pages 221-223, January.
    14. 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.
    15. 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.
    16. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Comment," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 507-515, October.
    17. Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 103-117, January.
    18. repec:eee:reensy:v:93:y:2008:i:11:p:1740-1750 is not listed on IDEAS
    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. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
    21. Stefano Barbieri & David Malueg, 2008. "Private provision of a discrete public good: efficient equilibria in the private-information contribution game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 51-80, October.
    22. Roman M. Sheremeta, 2011. "Perfect-Substitutes, Best-Shot, and Weakest-Link Contests between Groups," Korean Economic Review, Korean Economic Association, vol. 27, pages 5-32.
    23. 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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    Cited by:

    1. 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..
    2. Brookins, Philip & Lightle, John P. & Ryvkin, Dmitry, 2015. "Optimal sorting in group contests with complementarities," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 311-323.
    3. Stefano Barbieri & David Malueg & Iryna Topolyan, 2014. "The best-shot all-pay (group) auction with complete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 603-640, November.
    4. 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..
    5. Subhasish M. Chowdhury & Iryna Topolyan, 2015. "The Group All-Pay Auction with Heterogeneous Impact Functions," University of East Anglia Applied and Financial Economics Working Paper Series 069, School of Economics, University of East Anglia, Norwich, UK..

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