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Pure strategy solutions of blotto games

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  • D. W. Blackett

Abstract

Some necessary conditions for a Blotto game to be solvable by interior pure strategies are presented. The mathematics involved is little more than an exercise in calculus. Nevertheless, a test of the elementary conditions given here exposes as incorrect various solutions to Blotto games which appear in the classified literature.

Suggested Citation

  • D. W. Blackett, 1958. "Pure strategy solutions of blotto games," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 5(2), pages 107-109, June.
    • Handle: RePEc:wly:navlog:v:5:y:1958:i:2:p:107-109
    DOI: 10.1002/nav.3800050203
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    Cited by:

    1. Brian Roberson & Oz Shy, 2021. "Costly force relocation in the Colonel Blotto game," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 39-52, April.
    2. Alastair Langtry, 2022. "Inside the West Wing: Lobbying as a contest," Papers 2207.00800, arXiv.org, revised Jan 2024.
    3. Shy, Oz, 2021. "Multimarket lobbying with reserves," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 106-112.
    4. Daniel Rehsmann, 2023. "The Sumo coach problem," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 669-700, September.
    5. Boix-Adserà, Enric & Edelman, Benjamin L. & Jayanti, Siddhartha, 2021. "The multiplayer Colonel Blotto game," Games and Economic Behavior, Elsevier, vol. 129(C), pages 15-31.
    6. Deutsch, Yael, 2021. "A polynomial-time method to compute all Nash equilibria solutions of a general two-person inspection game," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1036-1052.
    7. Enric Boix-Adser`a & Benjamin L. Edelman & Siddhartha Jayanti, 2020. "The Multiplayer Colonel Blotto Game," Papers 2002.05240, arXiv.org, revised May 2021.
    8. Hunt, Kyle & Zhuang, Jun, 2024. "A review of attacker-defender games: Current state and paths forward," European Journal of Operational Research, Elsevier, vol. 313(2), pages 401-417.
    9. Langtry, Alastair, 2024. "Inside the West Wing: Lobbying as a contest," Journal of Public Economics, Elsevier, vol. 231(C).

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