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A Blotto Game with Incomplete Information

Author

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  • Alexander Matros

Abstract

We consider a Blotto Game with Incomplete Information. A pure-strategy symmetric monotonic Bayesian equilibrium is found and its properties are discussed. Key words: Blotto Game, Imperfect Information. Journal of Economic Literature Classification: C72, D72.

Suggested Citation

  • Alexander Matros, 2007. "A Blotto Game with Incomplete Information," Working Paper 332, Department of Economics, University of Pittsburgh, revised Jul 2009.
    • Handle: RePEc:pit:wpaper:332
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    File URL: http://www.econ.pitt.edu/papers/Alexander_taam080731.pdf
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. John Duffy & Alexander Matros, 2013. "Stochastic Asymmetric Blotto Games: Theory and Experimental Evidence," Working Paper 509, Department of Economics, University of Pittsburgh, revised Nov 2013.
    2. Subhasish M Chowdhury & Dan Kovenock & David Rojo Arjona & Nathaniel T Wilcox, 2021. "Focality and Asymmetry in Multi-Battle Contests," The Economic Journal, Royal Economic Society, vol. 131(636), pages 1593-1619.
    3. Duffy, John & Matros, Alexander, 2017. "Stochastic asymmetric Blotto games: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 139(C), pages 88-105.
    4. Kovenock, Dan & Roberson, Brian, 2011. "A Blotto game with multi-dimensional incomplete information," Economics Letters, Elsevier, vol. 113(3), pages 273-275.
    5. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    6. Hodler, Roland & Yektaş, Hadi, 2012. "All-pay war," Games and Economic Behavior, Elsevier, vol. 74(2), pages 526-540.
    7. 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.
    8. 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.
    9. Yosef Rinott & Marco Scarsini & Yaming Yu, 2012. "A Colonel Blotto Gladiator Game," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 574-590, November.
    10. Stefan Homburg, 2011. "Colonel Blotto und seine ökonomischen Anwendungen," Perspektiven der Wirtschaftspolitik, Verein für Socialpolitik, vol. 12(1), pages 1-11, February.
    11. 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.
    12. Edith Elkind & Abheek Ghosh & Paul W. Goldberg, 2022. "Simultaneous Contests with Equal Sharing Allocation of Prizes: Computational Complexity and Price of Anarchy," Papers 2207.08151, arXiv.org.
    13. Scott Macdonell & Nick Mastronardi, 2015. "Waging simple wars: a complete characterization of two-battlefield Blotto equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 183-216, January.
    14. 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.
    15. 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

    blotto game; imperfect information. journal of economic literature classification: c72; d72.;
    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

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