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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.

Suggested Citation

  • 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 Dec 2016.
  • Handle: RePEc:tex:wpaper:130116
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    File URL: https://sites.google.com/site/carotho14/research/files/20161202_Blotto.pdf
    File Function: Revised version, 2016
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    References listed on IDEAS

    as
    1. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
    2. 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.
    3. Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Maria Montero & Alex Possajennikov & Martin Sefton & Theodore L. Turocy, 2016. "Majoritarian Blotto contests with asymmetric battlefields: an experiment on apex games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 55-89, January.
    2. Todd R. Kaplan & Shmuel Zamir, 2014. "Advances in Auctions," Discussion Papers 1405, Exeter University, Department of Economics.
    3. Dan Kovenock & Brian Roberson, 2010. "The Optimal Defense of Networks of Targets," Purdue University Economics Working Papers 1251, Purdue University, Department of Economics.
    4. Osorio, Antonio, 2013. "The lottery Blotto game," Economics Letters, Elsevier, vol. 120(2), pages 164-166.
    5. Montero García, María & Possajennikow, Alex & Sefton, Martín & Turocy, Theodore L., 2013. "Majoritarian Contests with Asymmetric Battlefields: An Experiment," IKERLANAK Ikerlanak;2013-76, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    6. Scott Macdonell & Nick Mastronardi, 2015. "Waging simple wars: a complete characterization of two-battlefield Blotto equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 183-216, January.
    7. Kostyantyn Mazur, 2017. "A Partial Solution to Continuous Blotto," Papers 1706.08479, arXiv.org, revised Sep 2017.

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