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Robust Pairwise n -Person Stochastic Duel Game

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  • Song-Kyoo (Amang) Kim

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

Abstract

This paper introduces an extended version of a stochastic game under the antagonistic duel-type setup. The most flexible multiple person duel game is analytically solved. Moreover, the explicit formulas are solved to determine the time-dependent duel game model using the first exceed theory in multiple game stages. Unlike conventional stochastic duel games, multiple battlefields are firstly introduced and each battlefield becomes a shooting ground of pairwise players in a multiperson game. Each player selects different targets in different game stages. An analogue of this new theory was designed to find the best shooting time within multiple battlefields. This model is fully mathematically explained and is the basis with which to apply a stochastic duel-type game in various practical applications.

Suggested Citation

  • Song-Kyoo (Amang) Kim, 2021. "Robust Pairwise n -Person Stochastic Duel Game," Mathematics, MDPI, vol. 9(8), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:825-:d:533525
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    References listed on IDEAS

    as
    1. Christopher G. Kingston & Robert E. Wright, 2010. "The Deadliest of Games: The Institution of Dueling," Southern Economic Journal, Southern Economic Association, vol. 76(4), pages 1094-1106, April.
    2. 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.
    3. Moschini, GianCarlo, 2004. "Nash equilibrium in strictly competitive games: live play in soccer," Economics Letters, Elsevier, vol. 85(3), pages 365-371, December.
    4. Christopher G. Kingston & Robert E. Wright, 2010. "The Deadliest of Games: The Institution of Dueling," Southern Economic Journal, John Wiley & Sons, vol. 76(4), pages 1094-1106, April.
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