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Stochastic Asymmetric Blotto Games: Theory and Experimental Evidence

  • John Duffy
  • Alexander Matros

We study a 2-player Blotto game where the n items have asymmetric values. The winner of each item is determined stochastically using a lottery mechanism. We analyze two payoff objectives: (i) players maximize their total expected payoffs and (ii) players maximize their probability of winning a majority value of all items. We develop new theoretical results for the majority rule case and show how that payoff objective results in qualitatively different equilibrium behavior than the total expected payoff objective. We report results from an experiment where the two payoff objectives are compared and find strong support for our theoretical predictions.

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Paper provided by University of Pittsburgh, Department of Economics in its series Working Papers with number 509.

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Date of creation: Aug 2013
Date of revision: Nov 2013
Handle: RePEc:pit:wpaper:509
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  1. Possajennikow, Alex & Sefton, Martín & Turocy, Theodore L. & Montero García, María, 2013. "Majoritarian Contests with Asymmetric Battlefields: An Experiment," IKERLANAK 11222, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  2. Kovenock, Dan & Roberson, Brian, 2008. "Coalitional Colonel Blotto games with application to the economics of alliances
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  4. Alexander Matros, 2007. "A Blotto Game with Incomplete Information," Working Papers 332, University of Pittsburgh, Department of Economics, revised Jul 2009.
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  6. Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer, vol. 52(3), pages 833-861, April.
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  11. Rafael Hortala-Vallve & Aniol Llorente-Saguer, 2012. "Pure strategy Nash equilibria in non-zero sum colonel Blotto games," International Journal of Game Theory, Springer, vol. 41(2), pages 331-343, May.
  12. Powell, Robert, 2009. "Sequential, nonzero-sum "Blotto": Allocating defensive resources prior to attack," Games and Economic Behavior, Elsevier, vol. 67(2), pages 611-615, November.
  13. Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
  14. Sergiu Hart, 2006. "Discrete Colonel Blotto and General Lotto Games," Levine's Bibliography 321307000000000532, UCLA Department of Economics.
  15. Nicolas Sahuguet & Nicola Persico, 2006. "Campaign spending regulation in a model of redistributive politics," Economic Theory, Springer, vol. 28(1), pages 95-124, 05.
  16. George E. Monahan, 1987. "The Structure of Equilibria in Market Share Attraction Models," Management Science, INFORMS, vol. 33(2), pages 228-243, February.
  17. 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.
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