IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.uea.ac.uk/menu/depts/eco/research/RePEc/uea/papers_pdf/UEA-AFE-050.pdf
Download Restriction: no

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.

as
in new window

Length:
Date of creation: Aug 2013
Date of revision:
Handle: RePEc:uea:aepppr:2012_50
Contact details of provider: Postal: Norwich NR4 7TI
Phone: 44 1603 591131
Fax: +44(0)1603 4562592
Web page: http://www.uea.ac.uk/eco/

More information through EDIRC

Order Information: Postal: Helen Chapman, School of Economics, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, UK
Email:


References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. John B Van Huyck & Raymond C Battalio & Richard O Beil, 1997. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 1225, David K. Levine.
  3. 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.
  4. 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.
  5. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
  6. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  7. Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September.
  8. 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.
  9. 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.
  10. Kremer, Michael, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 551-75, August.
  11. 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..
  12. 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.
  13. 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.
  14. Heinrich W. Ursprung, 1990. "Public Goods, Rent Dissipation, And Candidate Competition," Economics and Politics, Wiley Blackwell, vol. 2(2), pages 115-132, 07.
  15. Subhasish M. Chowdhury & Dongryul Lee & Roman M. Sheremeta, 2011. "Top Guns May Not Fire: Best-Shot Group Contests with Group-Specific Public Good Prizes," University of East Anglia Applied and Financial Economics Working Paper Series 024, School of Economics, University of East Anglia, Norwich, UK..
  16. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
  17. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. " Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
  18. Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information 9409002, EconWPA.
  19. 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.
  20. Richard Cornes & Roger Hartley, . "Weak Links, Good Shots And Other Public Good Games: Building On Bbv," Discussion Papers 06/09, University of Nottingham, School of Economics.
  21. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, March.
  22. 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..
  23. 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.
  24. Kala Krishna, 1985. "Trade Restrictions as Facilitating Practices," NBER Working Papers 1546, National Bureau of Economic Research, Inc.
  25. Shogren, Jason F. & Riaz, Khalid & Johnson, Stanley R., 1995. "A General Model of Rent Seeking for Public Goods," Staff General Research Papers 5229, Iowa State University, Department of Economics.
  26. 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.
  27. 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.
  28. Dan Kovenock & Brian Roberson, 2010. "The Optimal Defense of Networks of Targets," Purdue University Economics Working Papers 1251, Purdue University, Department of Economics.
  29. 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.
  30. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
  31. 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.
  32. Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer, vol. 30(1), pages 103-117, January.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:uea:aepppr:2012_50. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alasdair Brown)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.