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A Blotto game with multi-dimensional incomplete information

Author

Listed:
  • 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. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Oxford University Press, vol. 65(1), pages 1-21.
    2. repec:pit:wpaper:332 is not listed on IDEAS
    3. Adamo, Tim & Matros, Alexander, 2009. "A Blotto game with Incomplete Information," Economics Letters, Elsevier, vol. 105(1), pages 100-102, October.
    4. 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.
    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 Group Munich.
    7. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    8. 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.
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    Citations

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    Cited by:

    1. 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.
    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.
    4. repec:eee:jeborg:v:139:y:2017:i:c:p:88-105 is not listed on IDEAS

    More about this item

    Keywords

    Colonel Blotto game; Conflict; Multi-dimensional incomplete information; Multi-dimensional action space;

    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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