Global regulation of individual decision making. (7th March 2016)

• Record Type: Journal Article
• Authors: Banerjee, Malay; Demongeot, Jacques; Volpert, Vitaly
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 15(2016:Oct. 15)
• Page Start: 4428
• Page End: 4436
• Publication Date: 2016-03-07
• Subjects: individual decision making -- global regulation -- oscillations; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3871
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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 © 2016 John Wiley & Sons, Ltd.