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A Versatile Stochastic Duel Game

Author

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  • Song-Kyoo (Amang) Kim

    (Computer Applied Technology Program, Macao Polytechnic Institute, Macao
    Current address: R. de Luis Gonzaga Gomes, Macao.)

Abstract

This paper deals with a standard stochastic game model with a continuum of states under the duel-type setup. It newly proposes a hybrid model of game theory and the fluctuation process, which could be applied for various practical decision making situations. The unique theoretical stochastic game model is targeted to analyze a two-person duel-type game in the time domain. The parameters for strategic decisions including the moments of crossings, prior crossings, and the optimal number of iterations to get the highest winning chance are obtained by the compact closed joint functional. This paper also demonstrates the usage of a new time based stochastic game model by analyzing a conventional duel game model in the distance domain and briefly explains how to build strategies for an atypical business case to show how this theoretical model works.

Suggested Citation

  • Song-Kyoo (Amang) Kim, 2020. "A Versatile Stochastic Duel Game," Mathematics, MDPI, vol. 8(5), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:678-:d:352722
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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. John Patrick Lang & George Kimeldorf, 1975. "Duels with Continuous Firing," Management Science, INFORMS, vol. 22(4), pages 470-476, December.
    3. 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.
    4. Moschini, GianCarlo, 2004. "Nash equilibrium in strictly competitive games: live play in soccer," Economics Letters, Elsevier, vol. 85(3), pages 365-371, December.
    5. 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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    Citations

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    Cited by:

    1. Song-Kyoo (Amang) Kim, 2023. "Two-Person Stochastic Duel with Energy Fuel Constraint Ammo," Mathematics, MDPI, vol. 11(17), pages 1-8, August.
    2. Song-Kyoo (Amang) Kim, 2022. "Versatile Stochastic Two-Sided Platform Models," Mathematics, MDPI, vol. 11(1), pages 1-15, December.
    3. Song-Kyoo (Amang) Kim, 2022. "Shifted Brownian Fluctuation Game," Mathematics, MDPI, vol. 10(10), pages 1-12, May.

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