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Dynamical Systems Theory Compared to Game Theory: The Case of the Salamis’s Battle
Department of Economics, University of Thessaly, Volos, Greece
Department of Economics, University of Thessaly, Volos, Greece
- 1 Department of Economics, University of Thessaly, Volos, Greece
- 2 Department of Economics, University of Thessaly, Volos, Greece
Applied Mathematics·Volume 12 (2021)·Pages 882–899·Published 13 October 2021·DOI10.4236/am.2021.1210058
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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”.
KeywordsDiscrete Dynamical SystemsModeling Strategic BehaviorGame TheoryBattle of Salamis
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