Choosing the best Counter-Strategy for Hamas against the Zionist regime and simulating this Strategy using Lanchester fractional differential equations

Lotfalighasab, Ehsan; Ebadi Zadeh, Hajjat Allah

doi:10.22034/ijwg.2025.490499.1103

Choosing the best Counter-Strategy for Hamas against the Zionist regime and simulating this Strategy using Lanchester fractional differential equations

Document Type : Original Article

Authors

ehsan lotfalighasab ¹

Hajjat Allah Ebadi Zadeh ²

¹ Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran

² Mathematics Department, Faculty of Basic Sciences, Imam Ali Afsari University, Tehran, Iran

10.22034/ijwg.2025.490499.1103

Abstract

In this article, we intend to use two-player zero-sum games to obtain the appropriate Counter-Strategy for Hamas forces against the Zionist regime. In fact, we correspond the Counter-Strategy conditions of Hamas as the injured player to the game model (H,I,G), where H is the set of possible Counter-Strategy of Hamas (the friendly player) against the Zionist regime and I is the set of possible reactions of the Zionist regime after Hamas' Counter-Strategy. Also, G is the Hamas utility matrix. We solve the model using the Maximin method. Then, using Lanchester fractional differential equations, we obtain an estimated fraction of the casualty rates of Hamas forces and Zionist forces and the populations of the two groups in the future of the war and determine the winning force of the war.

Keywords

CounterStrategy

Deterrence

MatrixGames

Hamas

Lanchester Equations

Subjects