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N-Dimensional Blotto Game with Asymmetric Battlefield Values

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  • Caroline D. Thomas

    ()
    (Department of Economics, The University of Texas at Austin)

Abstract

This paper introduces a new geometric method for constructing equilibrium distributions in the Colonel Blotto game with asymmetric battlefield values, generalizing the construction method of Laslier and Picard (2002). Our method does particularly well in instances of the Colonel Blotto game in which the battlefield values satisfy some clearly defined regularity conditions. The paper establishes the parallel between these conditions and the constrained integer partitioning problem in combinatorial optimisation. We illustrate in the context of the US presidential elections the properties of equilibrium distributions generated by our construction method. In a numerical example, we address the equity of campaign resource allocations.

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File URL: https://webspace.utexas.edu/ct23744/www/pdf/Blotto.pdf
File Function: Revised version, 2012
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Bibliographic Info

Paper provided by The University of Texas at Austin, Department of Economics in its series Department of Economics Working Papers with number 130116.

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Date of creation: Dec 2009
Date of revision: Aug 2013
Handle: RePEc:tex:wpaper:130116

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Postal: Austin, Texas 78712
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Web page: http://www.utexas.edu/cola/depts/economics/
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  1. Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
  2. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
  3. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer, vol. 29(1), pages 1-24, September.
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Cited by:
  1. Maria Montero & Alex Possajennikov & Martin Sefton & Theodore Turocy, 2013. "Majoritarian Contests with Asymmetric Battlefields: An Experiment," Discussion Papers 2013-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.

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