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

Autor:	Baar, Wouter, Bauso, Dario
Rok vydání:	2020
Předmět:	Mathematics - Optimization and Control Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.08764 Zobrazit plný text záznamu View this record from Arxiv