Department of Mathematics, Faculty of Basic Sciences
Abstract
In this research, a scenario has been designed to play a war game between two attacking and defending teams, in which the defending team has the mission of defense in the form of layered defense and the attacking team has the mission of penetrating the defense layers and reaching the goal set behind the defense layers. has the The defense team has expanded its units in defense layers to carry out the mission. The main goal of this research is to present a war game model between two defending and attacking teams based on game theory. First, players determine their strategies and complete their cost-profit matrix based on their strategies. In the following, based on the information obtained from the players, the Stackelberg game is used to model the game between the defender and the attacker. To validate the model presented in the research, a scenario in which the defending team performs a layered defense with 3 A layer that has spread its units in different layers is considered. Also, the attacking team determines its offensive strategies in order to reach the goal behind the defense layers. The utility functions of each of the players were calculated. According to the results obtained from the cost-benefit matrix for the defender and the attacker, it can be concluded that the presented model can be a good method for simulating the game of war between two Defending and attacking teams should be symmetrical with information
lotfi,A . (2023). Designing a layer-by-layer defensive war game against an attacker at a limited operational level based on game theory. Research of Defense Sciences, 3(3), 1-18.
MLA
lotfi,A . "Designing a layer-by-layer defensive war game against an attacker at a limited operational level based on game theory", Research of Defense Sciences, 3, 3, 2023, 1-18.
HARVARD
lotfi A. (2023). 'Designing a layer-by-layer defensive war game against an attacker at a limited operational level based on game theory', Research of Defense Sciences, 3(3), pp. 1-18.
CHICAGO
A lotfi, "Designing a layer-by-layer defensive war game against an attacker at a limited operational level based on game theory," Research of Defense Sciences, 3 3 (2023): 1-18,
VANCOUVER
lotfi A. Designing a layer-by-layer defensive war game against an attacker at a limited operational level based on game theory. Research of Defense Sciences. 2023;3(3):1-18 (In Persian).