2020/11/17 by Baar, Wouter, Bauso, Dario
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2011.08764
In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is characterised by variables denoting the fractions of individuals committed to each respective option, and they are influenced by the state of neighboring groups. First, we study its steady-state and show that the equilibrium is a consensus equilibrium. We also derive a sufficient condition for local asymptotic stability. Then, we study a structured model where every population is now assumed to represent a structured complex network. We conclude the paper with simulations, corroborating the obtained theoretical findings.