Evolutionary Dynamics on a Regular Networked Structured and Unstructured Multi-population

TL;DR

This paper investigates collective decision-making dynamics in multi-population networks, analyzing equilibrium states and stability, and validating findings through simulations on both regular and complex network structures.

Contribution

It introduces a comprehensive analysis of decision dynamics on regular and complex networks, including stability conditions and simulation validation.

Findings

Consensus equilibrium in multi-population networks

Sufficient conditions for local stability

Simulation results support theoretical analysis

Abstract

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.