Offensive/Defensive Game Target Damage Assessment Mathematical Calculation Method between the Projectile and Target

Hanshan Li (), Yun Hao and Xiaoqian Zhang
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Hanshan Li: School of Electronic and Information Engineering, Xi’an Technological University, Xi’an 710021, China
Yun Hao: School of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, China
Xiaoqian Zhang: School of Electronic and Information Engineering, Xi’an Technological University, Xi’an 710021, China

Mathematics, 2022, vol. 10, issue 22, 1-15

Abstract: The target damage assessment when a projectile is attacking a ground target under uncertain information is a difficult problem to solve, because the intersection-relative position of the projectile and target is a random distribution and the target damage is also uncertain in the intersection confrontation between projectile and target. This paper regards the projectile and target as two participants of the zero-sum non-cooperative confrontation game and studies an offensive/defensive game damage strategy modeling method when the projectile meets the target under uncertain information. According to the information of both the projectile and the target, from the perspective of the gain of the projectile attacking the ground target and the gain of the ground target defense, this paper establishes the indicator function of offensive/defensive game of projectile and target intersection under uncertain information and constructs the payoff matrix of the confrontation game between the projectile and the target. The Nash equilibrium of the game is obtained by combining the particle swarm optimization algorithm and the interval number multiple attribute ranking method in the case of uncertain information, and then, a new optimal damage assessment strategy method of Offensive/Defensive Game of projectile and target is gained, the method to solve the Nash equilibrium value of the payment matrix is given. Simulations are performed to validate the feasibility and effectiveness of the proposed game damage strategy model and the solution method.

Keywords: damage assessment; projectile; target; Nash equilibrium; uncertain information (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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