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A Blotto game with multi-dimensional incomplete information

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  • Kovenock, Dan
  • Roberson, Brian

Abstract

We examine a multi-dimensional incomplete information Colonel Blotto game in which each player’s n-tuple of battlefield valuations is drawn from a common n-variate joint distribution function that is uniform on the non-negative orthant of the surface of a sphere.

Suggested Citation

  • Kovenock, Dan & Roberson, Brian, 2011. "A Blotto game with multi-dimensional incomplete information," Economics Letters, Elsevier, vol. 113(3), pages 273-275.
    • Handle: RePEc:eee:ecolet:v:113:y:2011:i:3:p:273-275
    DOI: 10.1016/j.econlet.2011.08.009
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    References listed on IDEAS

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    1. Alexander Matros, 2007. "A Blotto Game with Incomplete Information," Working Paper 332, Department of Economics, University of Pittsburgh, revised Jul 2009.
    2. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    3. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 1-21.
    4. Adamo, Tim & Matros, Alexander, 2009. "A Blotto game with Incomplete Information," Economics Letters, Elsevier, vol. 105(1), pages 100-102, October.
    5. 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.
    6. Dan Kovenock J. & Brian Roberson, 2010. "Conflicts with Multiple Battlefields," CESifo Working Paper Series 3165, CESifo.
    7. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    8. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
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    Citations

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    Cited by:

    1. Duffy, John & Matros, Alexander, 2017. "Stochastic asymmetric Blotto games: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 139(C), pages 88-105.
    2. Christian Ewerhart & Dan Kovenock, 2019. "A Class of N-player Colonel Blotto games with multidimensional private information," ECON - Working Papers 336, Department of Economics - University of Zurich, revised Feb 2021.
    3. Denter, Philipp, 2020. "Campaign contests," European Economic Review, Elsevier, vol. 127(C).
    4. Sam Ganzfried, 2020. "Algorithm for Computing Approximate Nash Equilibrium in Continuous Games with Application to Continuous Blotto," Papers 2006.07443, arXiv.org, revised Jun 2021.
    5. Sam Ganzfried, 2021. "Algorithm for Computing Approximate Nash Equilibrium in Continuous Games with Application to Continuous Blotto," Games, MDPI, vol. 12(2), pages 1-11, June.
    6. Antoine Pietri, 2017. "Les modèles de « rivalité coercitive » dans l’analyse économique des conflits," Revue d'économie politique, Dalloz, vol. 127(3), pages 307-352.
    7. Nikoofal, Mohammad E. & Zhuang, Jun, 2015. "On the value of exposure and secrecy of defense system: First-mover advantage vs. robustness," European Journal of Operational Research, Elsevier, vol. 246(1), pages 320-330.
    8. 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.

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    More about this item

    Keywords

    Colonel Blotto game; Conflict; Multi-dimensional incomplete information; Multi-dimensional action space;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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