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Entropy and Equilibria in Competitive Systems
The University of Queensland, SoMME, QLD 4072, Australia
Received: 28 October 2013; in revised form: 16 December 2013 / Accepted: 16 December 2013 / Published: 24 December 2013
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
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MDPI and ACS Style
Klimenko, A.Y. Entropy and Equilibria in Competitive Systems. Entropy 2014, 16, 1-22.
Klimenko AY. Entropy and Equilibria in Competitive Systems. Entropy. 2014; 16(1):1-22.
Klimenko, A. Y. 2014. "Entropy and Equilibria in Competitive Systems." Entropy 16, no. 1: 1-22.