Principle of least effort vs. maximum efficiency: deriving Zipf-Pareto's laws

被引：7

作者：

Wang, Qiuping A. ^{[1
,2
]}

机构：

[1] ESIEA, Lab Syst Complexes & Informat Quant, 9 Rue Vesale, F-75005 Paris, France

[2] Le Mans Univ, IMMM, CNRS UMR 6283, Ave O Messiaen, F-72085 Le Mans, France

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 153卷

关键词：

Least effort; Maximum efficiency; Zipf's law; Pareto law; Calculus of variation;

D O I：

10.1016/j.chaos.2021.111489

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper provides a derivation of Zipf-Pareto laws directly from the principle of least effort. A prob-abilistic 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's and Pareto's laws. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：10

共 4 条

[1] STUDY OF A MEASURE OF EFFICIENCY AS A TOOL FOR APPLYING THE PRINCIPLE OF LEAST EFFORT TO THE DERIVATION OF THE ZIPF AND THE PARETO LAWS
El Kaabouchi, A.
Machu, F. X.
Cocks, J.
Wang, R.
Zhu, Y. Y.
Wang, Q. A.
[J]. ADVANCES IN COMPLEX SYSTEMS, 2021, 24 (07N08):
[2] The Influence of Context on Zipf's Principle of Least Effort in Linguistics
聂建文
[J]. 学周刊, 2012, (16) : 199 - 199
[3] Zipf’s law revisited: Spoken dialog, linguistic units, parameters, and the principle of least effort
Guido M. Linders
Max M. Louwerse
[J]. Psychonomic Bulletin & Review, 2023, 30 : 77 - 101
[4] Zipf's law revisited: Spoken dialog, linguistic units, parameters, and the principle of least effort
Linders, Guido M.
Louwerse, Max M.
[J]. PSYCHONOMIC BULLETIN & REVIEW, 2023, 30 (01) : 77 - 101

← 1 →