Principle of least effort vs maximum efficiency: deriving Zipf-Pareto laws
arXiv:2003.02376 · doi:10.1016/j.chaos.2021.111489
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.
26 pages, 1 figure