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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. George E. Monahan, 1987. "The Structure of Equilibria in Market Share Attraction Models," Management Science, INFORMS, vol. 33(2), pages 228-243, February.
  2. 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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  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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  8. Nicolas Sahuguet & Nicola Persico, 2006. "Campaign spending regulation in a model of redistributive politics," Economic Theory, Springer, vol. 28(1), pages 95-124, 05.
  9. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-60, May.
  10. Dan Kovenock & Brian Roberson, 2007. "Coalitional Colonel Blotto Games with Application to the Economics of Alliances," Purdue University Economics Working Papers 1207, Purdue University, Department of Economics.
  11. 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.
  12. Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
  13. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
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  15. Sergiu Hart, 2008. "Discrete Colonel Blotto and General Lotto games," International Journal of Game Theory, Springer, vol. 36(3), pages 441-460, March.
  16. Hortala-Vallve, Rafael & Llorente-Saguer, Aniol, 2010. "A simple mechanism for resolving conflict," Games and Economic Behavior, Elsevier, vol. 70(2), pages 375-391, November.
  17. 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.
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