A Versatile Stochastic Duel Game

Song-Kyoo (Amang) Kim
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Song-Kyoo (Amang) Kim: Computer Applied Technology Program, Macao Polytechnic Institute, Macao

Mathematics, 2020, vol. 8, issue 5, 1-13

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.

Keywords: duel game; stochastic model; fluctuation theory; time domain game; backward induction; marked point process; strategic decision making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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