TITLE:
Dynamical Systems Theory Compared to Game Theory: The Case of the Salamis’s Battle
AUTHORS:
Konstantina Founta, Loukas Zachilas
KEYWORDS:
Discrete Dynamical Systems, Modeling Strategic Behavior, Game Theory, Battle of Salamis
JOURNAL NAME:
Applied Mathematics,
Vol.12 No.10,
October
20,
2021
ABSTRACT: In this paper, we present an innovative non–linear, discrete, dynamical system trying to model the historic battle of Salamis between Greeks and Persians. September 2020 marks the anniversary of the 2500 years that have passed since this famous naval battle which took place in late September 480 B.C. The suggested model describes very well the most effective strategic behavior between two participants during a battle (or in a war). Moreover, we compare the results of the Dynamical Systems analysis to Game Theory, considering this conflict as a “war game”.