Principle of least effort vs maximum efficiency: deriving Zipf-Pareto laws
Physics and Society
2022-03-22 v4 Data Analysis, Statistics and Probability
Abstract
This paper provides a derivation of Zipf-Pareto laws directly from the principle of least effort. A probabilistic functional of efficiency is introduced as the consequence of an extension of the nonadditivity of the efficiency of thermodynamic engine to a large number of living agents assimilated to engines, all randomly distributed over their output. Application of the maximum calculus to this efficiency yields the Zipf-Pareto laws.
Keywords
Cite
@article{arxiv.2003.02376,
title = {Principle of least effort vs maximum efficiency: deriving Zipf-Pareto laws},
author = {Qiuping A. Wang},
journal= {arXiv preprint arXiv:2003.02376},
year = {2022}
}
Comments
26 pages, 1 figure