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Cellular games, nash equilibria, and Fibonacci numbers

Cellular games, nash equilibria, and Fibonacci numbers
Cellular games, nash equilibria, and Fibonacci numbers
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.
0302-9743
149-161
Springer
Harjes, Kristine
28d95190-59f7-4399-bc0e-af0670b0600a
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Harjes, Kristine
28d95190-59f7-4399-bc0e-af0670b0600a
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0

Harjes, Kristine and Naumov, Pavel (2013) Cellular games, nash equilibria, and Fibonacci numbers. In Logic, Rationality, and Interaction - 4th International Workshop, LORI 2013, Proceedings. vol. 8196 LNCS, Springer. pp. 149-161 . (doi:10.1007/978-3-642-40948-6_12).

Record type: Conference or Workshop Item (Paper)

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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More information

Published date: 12 October 2013
Venue - Dates: 4th International Workshop on Logic, Rationality, and Interaction, LORI 2013, , Hangzhou, China, 2013-10-09 - 2013-10-12
Learn more about Agents, Interactions and Complexity research

Identifiers

Local EPrints ID: 476004
URI: http://eprints.soton.ac.uk/id/eprint/476004
DOI: doi:10.1007/978-3-642-40948-6_12
ISSN: 0302-9743
PURE UUID: 79e53c94-a04f-4213-8bf3-0891ea1f215a
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

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Date deposited: 04 Apr 2023 16:31
Last modified: 17 Mar 2024 04:10

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Contributors

Author: Kristine Harjes
Author: Pavel Naumov ORCID iD

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