Abstract
In this paper we present a new non–linear, discrete, dynamical system trying to model the historic battle of Salamis (480 BC) between Greeks and Persians. The model describes the most effective strategic behavior between two participants during a battle or in a war. Moreover, we compare the results of the dynamical analysis to Game Theory, considering this conflict as a dynamic game.
Keywords
- Battle of salamis
- Discrete systems
- Modeling strategic behavior
- Game theory
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- 1.
McKelvey, Richard D., McLennan, Andrew M., and Turocy, T. L., 2014.
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Aeschylus, writing decades earlier, also gives 1,207 triremes, but Herodotus writes, shortly before battle took place, that the Persian fleet wasn’t much bigger than Greek. Because of a weather phenomenon (storms) 600 ships sank (400 at the coast of Magnesia, north of Artemisium and 200 in Euboea).
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E & F Chaos: written by Diks, C., Hommes, C., Panchenko, V., van der Weide, R., (2008).
References
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Software
C. Diks, C. Hommes, V. Panchenko, R. van der Weide, E&F Chaos: A user-friendly software package for nonlinear economic dynamics. Comput. Econ. 32, 221–244 (2008)
D. McKelvey, Richard, M. McLennan, Andrew, L. Turocy, Theodore, Gambit: Software Tools for Game Theory, Version 16.0.1. (2014). https://www.gambit-project.org
https://sourceforge.net/projects/maxima/files/Maxima-Windows/5.39.0-Windows/
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Founta, K., Zachilas, L. (2021). Battle of Salamis: Greeks Were Destined to Win. In: Skiadas, C.H., Dimotikalis, Y. (eds) 13th Chaotic Modeling and Simulation International Conference. CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_17
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DOI: https://doi.org/10.1007/978-3-030-70795-8_17
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