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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.

Suggested Citation

  • Osório Costa, Antonio Miguel, 2013. "The Lottery Blotto Game," Working Papers 2072/211806, Universitat Rovira i Virgili, Department of Economics.
  • Handle: RePEc:urv:wpaper:2072/211806
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    References listed on IDEAS

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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. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    3. 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 363-380, December.
    4. 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.
    5. Dan Kovenock J. & Brian Roberson, 2010. "Conflicts with Multiple Battlefields," CESifo Working Paper Series 3165, CESifo Group Munich.
    6. 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.
    7. 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.
    8. Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
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    Cited by:

    1. Duffy, John & Matros, Alexander, 2015. "Stochastic asymmetric Blotto games: Some new results," Economics Letters, Elsevier, vol. 134(C), pages 4-8.
    2. repec:cai:repdal:redp_273_0307 is not listed on IDEAS
    3. Kim, Jeongsim & Kim, Bara, 2017. "An asymmetric lottery Blotto game with a possible budget surplus and incomplete information," Economics Letters, Elsevier, vol. 152(C), pages 31-35.

    More about this item

    Keywords

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

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • H56 - Public Economics - - National Government Expenditures and Related Policies - - - National Security and War

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