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A full characterization of best-response functions in the lottery Colonel Blotto game

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  • Kovenock, Dan
  • Rojo Arjona, David

Abstract

We fully characterize best-response functions in Colonel Blotto games with lottery contest success functions.

Suggested Citation

  • Kovenock, Dan & Rojo Arjona, David, 2019. "A full characterization of best-response functions in the lottery Colonel Blotto game," Economics Letters, Elsevier, vol. 182(C), pages 33-36.
    • Handle: RePEc:eee:ecolet:v:182:y:2019:i:c:p:33-36
    DOI: 10.1016/j.econlet.2019.05.040
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    References listed on IDEAS

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    1. 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.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    3. Lawrence Friedman, 1958. "Game-Theory Models in the Allocation of Advertising Expenditures," Operations Research, INFORMS, vol. 6(5), pages 699-709, October.
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    Cited by:

    1. Li, Xinmi & Zheng, Jie, 2022. "Pure strategy Nash Equilibrium in 2-contestant generalized lottery Colonel Blotto games," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    2. Anbarci, Nejat & Cingiz, Kutay & Ismail, Mehmet S., 2023. "Proportional resource allocation in dynamic n-player Blotto games," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 94-100.
    3. David Iliaev & Sigal Oren & Ella Segev, 2023. "A Tullock-contest-based approach for cyber security investments," Annals of Operations Research, Springer, vol. 320(1), pages 61-84, January.

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    More about this item

    Keywords

    Multi-Battle contest; Colonel Blotto game; Contest success function; Best-response; Conflict;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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