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Entropy 2014, 16(1), 1-22; doi:10.3390/e16010001
Article

Entropy and Equilibria in Competitive Systems

Received: 28 October 2013 / Revised: 16 December 2013 / Accepted: 16 December 2013 / Published: 24 December 2013
(This article belongs to the Special Issue Complex Systems)
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Abstract

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.
Keywords: non-conventional thermodynamics; competitive systems; Tsallis entropy; equilibrium; cycles; complexity non-conventional thermodynamics; competitive systems; Tsallis entropy; equilibrium; cycles; complexity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Klimenko, A.Y. Entropy and Equilibria in Competitive Systems. Entropy 2014, 16, 1-22.

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