Two-Person Stochastic Duel with Energy Fuel Constraint Ammo

TL;DR

This paper introduces a novel stochastic duel game model where two players must strategically manage their energy fuel to optimize their chances of winning, offering insights into decision-making under resource constraints.

Contribution

It presents a new theoretical framework for a stochastic duel game incorporating energy fuel constraints, advancing understanding of strategic behavior in competitive scenarios.

Findings

Provides a mathematical model for energy-constrained duels

Analyzes optimal strategies under energy management

Offers insights into decision-making with resource limitations

Abstract

This paper deals a novel variation of the versatile stochastic duel game, which incorporates an energy fuel constraint in a two-player duel game. The energy fuel not only measures the vitality of players but also determines the power of the shooting projectile. The game requires players to carefully balance their energy usage while trying to outmaneuver their opponent. This unique theoretical framework of the stochastic game model provides a valuable method for understanding strategic behavior in competitive environments, particularly in decision-making scenarios with fluctuation processes. The proposed game provides players with the challenge of optimizing their energy fuel usage while managing the risk of losing the game. The unique rules and constraints of the game in this research are expected for contributing insights into the decision-making strategies and behaviors of players in a wide range of practical applications.