Abstract
The paper introduces a notion of cellular game that is intended to represent rationally behaving cells of a cellular automaton. The focus is made on studying properties of functional dependence between strategies of different cells in a Nash equilibrium of such games. The main result is a sound and complete axiomatization of these properties. The construction in the proof of completeness is based on the Fibonacci numbers.
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Harjes, K., Naumov, P. (2013). Cellular Games, Nash Equilibria, and Fibonacci Numbers. In: Grossi, D., Roy, O., Huang, H. (eds) Logic, Rationality, and Interaction. LORI 2013. Lecture Notes in Computer Science, vol 8196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40948-6_12
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DOI: https://doi.org/10.1007/978-3-642-40948-6_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40947-9
Online ISBN: 978-3-642-40948-6
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