Entropy and equilibrium via games of complexity

Flemming Topsøe

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 11-31

Abstract: It is suggested that thermodynamical equilibrium equals game theoretical equilibrium. Aspects of this thesis are discussed. The philosophy is consistent with maximum entropy thinking of Jaynes, but goes one step deeper by deriving the maximum entropy principle from an underlying game theoretical principle. The games introduced are based on measures of complexity. Entropy is viewed as minimal complexity. It is demonstrated that Tsallis entropy (q-entropy) and Kaniadakis entropy (κ-entropy) can be obtained in this way, based on suitable complexity measures. A certain unifying effect is obtained by embedding these measures in a two-parameter family of entropy functions.

Keywords: Measure of complexity; Maximum entropy; Game theoretical equilibrium; Nash equilibrium; Tsallis entropy; Kaniadakis entropy (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:11-31

DOI: 10.1016/j.physa.2004.03.073

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