A versatile stochastic duel game

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8 Citations (Scopus)

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.

Original languageEnglish
Article number678
JournalMathematics
Volume8
Issue number5
DOIs
Publication statusPublished - 1 May 2020

Keywords

  • Backward induction
  • Duel game
  • Fluctuation theory
  • Marked point process
  • Stochastic model
  • Strategic decision making
  • Time domain game

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