Entropy and Equilibria in Competitive Systems

This paper investigates the applicability of thermodynamic concepts and principles to competitive systems. We show that Tsallis entropies are suitable for the characterisation of systems with transitive competition when mutations deviate from Gibbs mutations. Different types of equilibria in competi...

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Main Author: A. Y. Klimenko
Format: Article
Language:English
Published: MDPI AG 2013-12-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/16/1/1
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author A. Y. Klimenko
author_facet A. Y. Klimenko
author_sort A. Y. Klimenko
collection DOAJ
description This paper investigates the applicability of thermodynamic concepts and principles to competitive systems. We show that Tsallis entropies are suitable for the characterisation of systems with transitive competition when mutations deviate from Gibbs mutations. Different types of equilibria in competitive systems are considered and analysed. As competition rules become more and more intransitive, thermodynamic analogies are eroded, and the behaviour of the system can become complex. This work analyses the phenomenon of punctuated evolution in the context of the competitive risk/benefit dilemma.
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spelling doaj.art-eba6f91c64e74137b0b4e85a327700de2022-12-22T04:00:24ZengMDPI AGEntropy1099-43002013-12-0116112210.3390/e16010001e16010001Entropy and Equilibria in Competitive SystemsA. Y. Klimenko0The University of Queensland, SoMME, QLD 4072, AustraliaThis paper investigates the applicability of thermodynamic concepts and principles to competitive systems. We show that Tsallis entropies are suitable for the characterisation of systems with transitive competition when mutations deviate from Gibbs mutations. Different types of equilibria in competitive systems are considered and analysed. As competition rules become more and more intransitive, thermodynamic analogies are eroded, and the behaviour of the system can become complex. This work analyses the phenomenon of punctuated evolution in the context of the competitive risk/benefit dilemma.http://www.mdpi.com/1099-4300/16/1/1non-conventional thermodynamicscompetitive systemsTsallis entropyequilibriumcyclescomplexity
spellingShingle A. Y. Klimenko
Entropy and Equilibria in Competitive Systems
Entropy
non-conventional thermodynamics
competitive systems
Tsallis entropy
equilibrium
cycles
complexity
title Entropy and Equilibria in Competitive Systems
title_full Entropy and Equilibria in Competitive Systems
title_fullStr Entropy and Equilibria in Competitive Systems
title_full_unstemmed Entropy and Equilibria in Competitive Systems
title_short Entropy and Equilibria in Competitive Systems
title_sort entropy and equilibria in competitive systems
topic non-conventional thermodynamics
competitive systems
Tsallis entropy
equilibrium
cycles
complexity
url http://www.mdpi.com/1099-4300/16/1/1
work_keys_str_mv AT ayklimenko entropyandequilibriaincompetitivesystems