Majoritarian Contests with Asymmetric Battlefields: An Experiment
We investigate a version of the classic Colonel Blotto game in which individual battles may have different values. Two players allocate a fixed budget across battlefields and each battlefield is won by the player who allocates the most to that battlefield. The winner of the game is the player who wins the battlefields with highest total value. We focus on the case where there is one large and several small battlefields, such that a player wins if he wins the large and any one small battlefield, or all the small battlefields. We compute the mixed strategy equilibrium for these games and compare this with choices from a laboratory experiment. The equilibrium predicts that the large battlefield receives more than a proportional share of the resources of the players, and that most of the time resources should be spread over more battlefields than are needed to win the game. We find support for the main qualitative features of the equilibrium. In particular, strategies that spread resources widely are played frequently, and the large battlefield receives more than a proportional share in the treatment where the asymmetry between battlefields is stronger.
|Date of creation:||Dec 2013|
|Date of revision:|
|Contact details of provider:|| Postal: Avenida Lehendakari Aguirre, 83, 48015 Bilbao|
Web page: http://www.ehu.es/fundamentosI/
More information through EDIRC
|Order Information:|| Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain|
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.:
- Dechenaux, Emmanuel & Kovenock, Dan & Sheremeta, Roman, 2014.
"A Survey of Experimental Research on Contests, All-Pay Auctions and Tournaments,"
59714, University Library of Munich, Germany.
- Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
- Dechenaux, Emmanuel & Kovenock, Dan & Sheremeta, Roman M., 2012. "A survey of experimental research on contests, all-pay auctions and tournaments," Discussion Papers, Research Professorship & Project "The Future of Fiscal Federalism" SP II 2012-109, Social Science Research Center Berlin (WZB).
- 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.
- repec:pit:wpaper:206 is not listed on IDEAS
- Sergiu Hart, 2006.
"Discrete Colonel Blotto and General Lotto Games,"
321307000000000532, UCLA Department of Economics.
- Shakun D. Mago & Roman M. Sheremeta, 2012. "Multi-Battle Contests: An Experimental Study," Working Papers 12-06, Chapman University, Economic Science Institute.
- Caroline D. Thomas, 2009. "N-Dimensional Blotto Game with Asymmetric Battlefield Values," Department of Economics Working Papers 130116, The University of Texas at Austin, Department of Economics, revised Aug 2013.
- repec:pit:wpaper:509 is not listed on IDEAS
- Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
- Dan Kovenock & Brian Roberson, 2010.
"Conflicts with Multiple Battlefields,"
Purdue University Economics Working Papers
1246, Purdue University, Department of Economics.
- Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
- Mark Walker & John Wooders, 2001. "Minimax Play at Wimbledon," American Economic Review, American Economic Association, vol. 91(5), pages 1521-1538, December.
- Ayala Arad & Ariel Rubinstein, 2012.
"Multi-Dimensional Iterative Reasoning in Action: The Case of the Colonel Blotto Game,"
Levine's Working Paper Archive
786969000000000497, David K. Levine.
- Arad, Ayala & Rubinstein, Ariel, 2012. "Multi-dimensional iterative reasoning in action: The case of the Colonel Blotto game," Journal of Economic Behavior & Organization, Elsevier, vol. 84(2), pages 571-585.
- Wooders, John & Shachat, Jason M., 2001. "On the Irrelevance of Risk Attitudes in Repeated Two-Outcome Games," Games and Economic Behavior, Elsevier, vol. 34(2), pages 342-363, February.
- Chowdhury, Subhasish M. & Kovenock, Dan & Sheremeta, Roman M., 2009.
"An experimental investigation of Colonel Blotto games
[Eine experimentelle Untersuchung von „Colonel Blotto“-Spielen]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2009-08, Social Science Research Center Berlin (WZB).
- Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 833-861, April.
- Chowdhury, Subhasish & Kovenock, Dan & Sheremeta, Roman, 2011. "An Experimental Investigation of Colonel Blotto Games," MPRA Paper 46810, University Library of Munich, Germany.
- Subhasish M. Chowdhury & Dan Kovenock J. & Roman M. Sheremeta, 2009. "An Experimental Investigation of Colonel Blotto Games," CESifo Working Paper Series 2688, CESifo Group Munich.
When requesting a correction, please mention this item's handle: RePEc:ehu:ikerla:11222. 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: (Alcira Macías Redondo)
If references are entirely missing, you can add them using this form.