Weakest-link contests with group-specific public good prizes
We examine the equilibrium effort levels of individual players and groups in contests in which n group compete to win a group-specific public good prize, individual players choose their effort levels simultaneously and independently, and each group's probability of winning the prize follows a weakest-link rule or weakest-link contest success function. In our basic model, we show that the lowest-valuation players in each group play decisive roles in determining the Nash equilibria of the game. There are multiple pure-strategy Nash equilibria in the game but there is a unique coalition-proof Nash equilibrium at which neither any player nor any group does not have an incentive to coordinate and deviate from the equilibrium. No free riding problem exists in equilibrium. As an example of our basic model, we consider a simple contest where two groups with two players compete against, and find that the high-valuation players in each group have incentives to subsidize the low-valuation players in their group. Finally, we examine the equilibrium subsidy rates of the groups in a contest where first the high-valuation players in each group decide how much to subsidize low-valuation players in their group and then the individual players in the contest choose their effort levels simultaneously and independently.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
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.:
- Johannes Münster, 2006. "Contests with an unknown number of contestants," Public Choice, Springer, vol. 129(3), pages 353-368, December.
- 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.
- Maria Arbatskaya & Hugo M. Mialon, 2012.
"Dynamic Multi-Activity Contests,"
Scandinavian Journal of Economics,
Wiley Blackwell, vol. 114(2), pages 520-538, 06.
- Richard Cornes & Roger Hartley, 2005.
"Asymmetric contests with general technologies,"
Springer, vol. 26(4), pages 923-946, November.
- 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.
- 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.
- 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.
- Konrad, Kai A., 2004.
"Bidding in hierarchies,"
European Economic Review,
Elsevier, vol. 48(6), pages 1301-1308, December.
- Konrad, Kai A., 2003.
"Bidding in hierarchies
[Das Bieten in Hierarchien]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2003-27, Social Science Research Center Berlin (WZB).
- Konrad, Kai A., 2003. "Bidding in hierarchies
- 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.
- Richard Cornes & Roger Hartley, .
"Weak Links, Good Shots And Other Public Good Games: Building On Bbv,"
06/09, University of Nottingham, School of Economics.
- Cornes, Richard & Hartley, Roger, 2007. "Weak links, good shots and other public good games: Building on BBV," Journal of Public Economics, Elsevier, vol. 91(9), pages 1684-1707, September.
- Richard Cornes & Roger Hartley, 2006. "Weak Links, Good Shots and other PublicGood Games: Building on BBV," The School of Economics Discussion Paper Series 0624, Economics, The University of Manchester.
- Konrad, Kai A. & Kovenock, Dan, 2006.
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.
- Konrad, Kai A. & Kovenock, Dan, 2006. "Multi-Battle Contests," CEPR Discussion Papers 5645, C.E.P.R. Discussion Papers.
- Konrad, Kai A. & Kovenock, Dan, 2006. "Multi-battle contests," Purdue University Economics Working Papers 1187, Purdue University, Department of Economics.
- Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Munich Reprints in Economics 22084, University of Munich, Department of Economics.
- Runkel, Marco, 2006. "Total effort, competitive balance and the optimal contest success function," European Journal of Political Economy, Elsevier, vol. 22(4), pages 1009-1013, December.
- Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
- Arye L. Hillman & John G. Riley, 1987.
"Politically Contestable Rents and Transfers,"
UCLA Economics Working Papers
452, UCLA Department of Economics.
- Glen W. Harrison & Jack Hirshleifer, 1998.
"An experimental evaluation of weakest link/best shot models of public goods,"
Levine's Working Paper Archive
299, David K. Levine.
- 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.
- Glenn W. Harrison & Jack Hirshleifer, 1988. "An Experimental Evaluation of Weakest-Link/Best Shot Models of Public Goods," UCLA Economics Working Papers 473, UCLA Department of Economics.
- Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer, vol. 41(2), pages 345-357, November.
- Yeon-Koo Che & Ian Gale, 1998.
"Caps on Political Lobbying,"
- Rosen, Sherwin, 1986.
"Prizes and Incentives in Elimination Tournaments,"
American Economic Review,
American Economic Association, vol. 76(4), pages 701-15, September.
- Lee, Sanghack, 2007. "Contests with size effects through costs," European Journal of Political Economy, Elsevier, vol. 23(4), pages 1190-1193, December.
- Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-98, December.
- J. Hirshleifer, 1985. "From weakest-link to best-shot: Correction," Public Choice, Springer, vol. 46(2), pages 221-223, January.
- Maria Arbatskaya & Hugo Mialon, 2010. "Multi-activity contests," Economic Theory, Springer, vol. 43(1), pages 23-43, April.
- Moldovanu, Benny & Sela, Aner, 1999.
"The Optimal Allocation of Prizes in Contests,"
Sonderforschungsbereich 504 Publications
99-75, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
- 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.
- 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.
- Eyal Baharad & Shmuel Nitzan, 2008. "Contest Efforts in Light of Behavioural Considerations," Economic Journal, Royal Economic Society, vol. 118(533), pages 2047-2059, November.
- Riaz, Khalid & Shogren, Jason F. & Johnson, Stanley R., 1995.
"A General Model of Rent Seeking for Public Goods,"
Staff General Research Papers
861, Iowa State University, Department of Economics.
- Nitzan, Shmuel, 1991. "Collective Rent Dissipation," Economic Journal, Royal Economic Society, vol. 101(409), pages 1522-34, November.
- 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.
- Heinrich W. Ursprung, 1990. "Public Goods, Rent Dissipation, And Candidate Competition," Economics and Politics, Wiley Blackwell, vol. 2(2), pages 115-132, 07.
- 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.
- Birendra Rai & Rajiv Sarin, 2009. "Generalized contest success functions," Economic Theory, Springer, vol. 40(1), pages 139-149, July.
- Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
- Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. " Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
- Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer, vol. 30(1), pages 103-117, January.
When requesting a correction, please mention this item's handle: RePEc:eee:poleco:v:28:y:2012:i:2:p:238-248. 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: (Zhang, Lei)
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.