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A Versatile Stochastic Duel Game

Computer Applied Technology Program, Macao Polytechnic Institute, Macao
Current address: R. de Luis Gonzaga Gomes, Macao.
Mathematics 2020, 8(5), 678; https://doi.org/10.3390/math8050678
Received: 15 April 2020 / Revised: 25 April 2020 / Accepted: 29 April 2020 / Published: 1 May 2020
(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
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. View Full-Text
Keywords: duel game; stochastic model; fluctuation theory; time domain game; backward induction; marked point process; strategic decision making duel game; stochastic model; fluctuation theory; time domain game; backward induction; marked point process; strategic decision making
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MDPI and ACS Style

Kim, S.-K.A. A Versatile Stochastic Duel Game. Mathematics 2020, 8, 678.

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