Variational principle underlying scale invariant social systems

A. Hernando () and A. Plastino

The European Physical Journal B: Condensed Matter and Complex Systems, 2012, vol. 85, issue 8, 1-6

Abstract: MaxEnt’s variational principle, in conjunction with Shannon’s logarithmic information measure, yields only exponential functional forms in straightforward fashion. In this communication we show how to overcome this limitation via the incorporation, into the variational process, of suitable dynamical information. As a consequence, we are able to formulate a somewhat generalized Shannonian maximum entropy approach which provides a unifying “thermodynamic-like” explanation for the scale-invariant phenomena observed in social contexts, as city-population distributions. We confirm the MaxEnt predictions by means of numerical experiments with random walkers, and compare them with some empirical data. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1140/epjb/e2012-30313-x

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