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A typology of military conflict based on the Hirshleifer contest

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  • Christian Ewerhart

Abstract

In a canonical model of military conflict, victory and defeat depend stochastically on the difference of resources deployed by the conflict parties. The present paper offers a comprehensive analysis of that model. The unique Nash equilibrium reflects either (i) peace, (ii) submission, (iii) insurgency, or (iv) war. Intuitive predictions regarding possible transitions between these types of equilibria are obtained. The analysis identifies advances in weaponry as an important driver of conflict and, less often so, of its resolution. The formal derivation exploits the variation-diminishing property of higher-order Pólya frequency functions.

Suggested Citation

  • Christian Ewerhart, 2021. "A typology of military conflict based on the Hirshleifer contest," ECON - Working Papers 400, Department of Economics - University of Zurich.
    • Handle: RePEc:zur:econwp:400
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    File URL: https://www.zora.uzh.ch/id/eprint/211641/1/econwp400.pdf
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    References listed on IDEAS

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    Cited by:

    1. Goel, Sumit & Goyal, Amit, 2023. "Optimal tie-breaking rules," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    2. Ewerhart, Christian & Sun, Guang-Zhen, 2024. "The n-player Hirshleifer contest," Games and Economic Behavior, Elsevier, vol. 143(C), pages 300-320.
    3. Ewerhart, Christian, 2024. "A game-theoretic implication of the Riemann hypothesis," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 52-59.

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    More about this item

    Keywords

    Military conflict; difference-form contest; insurgency; Pólya frequency functions;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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