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The Lottery Blotto Game

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  • Osório Costa, Antonio Miguel

Abstract

In this paper we relax the Colonel Blotto game assumption that for a given battle the player who allocates the higher measure of resources wins that battle. We assume that for a given battle, the Colonel who allocates the higher measure of resources is more likely to win that battle. We have a simpler model for which we are able to compute all Nash equilibria in pure strategies for any valuations pro le that players might have. Something that is not possible for the original Blotto game. JEL: C72, D74, H56. KEYWORDS: Colonel Blotto game; lottery contest function.

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Bibliographic Info

Paper provided by Universitat Rovira i Virgili, Department of Economics in its series Working Papers with number 2072/211806.

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Date of creation: 2013
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Handle: RePEc:urv:wpaper:2072/211806

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Keywords: Jocs no-cooperatius (Matemàtica); Gestió de conflictes; Seguretat nacional; 33 - Economia;

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  1. Alex Robson, 2005. "Multi-Item Contests," ANU Working Papers in Economics and Econometrics 2005-446, Australian National University, College of Business and Economics, School of Economics.
  2. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer, vol. 29(1), pages 1-24, September.
  3. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
  4. Dan Kovenock & Brian Roberson, 2010. "Conflicts with Multiple Battlefields," Purdue University Economics Working Papers 1246, Purdue University, Department of Economics.
  5. Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
  6. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1994. " The Solution to the Tullock Rent-Seeking Game When R Is Greater Than 2: Mixed-Strategy Equilibria and Mean Dissipation Rates," Public Choice, Springer, vol. 81(3-4), pages 363-80, December.
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