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Antagonistic One-To-N Stochastic Duel Game

Author

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  • Song-Kyoo (Amang) Kim

    (School of Applied Sciences, Macao Polytechnic Institute, Macao
    R. de Luis Gonzaga Gomes, Macao.)

Abstract

This paper is dealing with a multiple person game model under the antagonistic duel type setup. The unique multiple person duel game with the one-shooting-to-kill-all condition is analytically solved and the explicit formulas are obtained to determine the time dependent duel game model by using the first exceed theory. The model could be directly applied into real-world situations and an analogue of the theory in the paper is designed for solving the best shooting time for hitting all other players at once which optimizes the payoff function under random time conditions. It also mathematically explains to build the marketing strategies for the entry timing for both blue and red ocean markets.

Suggested Citation

  • Song-Kyoo (Amang) Kim, 2020. "Antagonistic One-To-N Stochastic Duel Game," Mathematics, MDPI, vol. 8(7), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1114-:d:380981
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    References listed on IDEAS

    as
    1. Schwalbe, Ulrich & Walker, Paul, 2001. "Zermelo and the Early History of Game Theory," Games and Economic Behavior, Elsevier, vol. 34(1), pages 123-137, January.
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    4. John Patrick Lang & George Kimeldorf, 1975. "Duels with Continuous Firing," Management Science, INFORMS, vol. 22(4), pages 470-476, December.
    5. Gary L. Lilien & Eunsang Yoon, 1990. "The Timing of Competitive Market Entry: An Exploratory Study of New Industrial Products," Management Science, INFORMS, vol. 36(5), pages 568-585, May.
    Full references (including those not matched with items on IDEAS)

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