Global regulation of individual decision making

被引：4

作者：

Banerjee, Malay ^{[1
]}

Demongeot, Jacques ^{[2
,3
]}

Volpert, Vitaly ^{[4
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

[2] UniGe, Lab Jean Raoul Scherrer, Team AGIM, F-38700 La Tronche, France

[3] Univ J Fourier Grenoble, Fac Med, F-38700 La Tronche, France

[4] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 15期

关键词：

individual decision making; global regulation; oscillations; LIENARD SYSTEMS; ERYTHROPOIESIS; MODELS; CHOICE;

D O I：

10.1002/mma.3871

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Collective behavior of a group of individuals is studied. Each individual adopts one of two alternative decisions on the basis of a neural network bistable dynamical system. The parameters of this system are regulated by collective behavior of the group with the purpose to control the number of individuals with certain decision. It is shown how behavior of the group depends on the distribution of initial states of individuals before they begin the process of decision making. If this distribution is narrow, then it can be impossible to achieve a stable coexistence of two decisions, and oscillations in the number of individuals with given decisions are observed. Various implications of this theory are discussed. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：4428 / 4436

页数：9

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