Spatiotemporal dynamics of cooperation and spite behavior by conformist transmission
type: Item
instance of: scholarly article
title: Spatiotemporal dynamics of cooperation and spite behavior by conformist transmission
zbMATH Open document ID: 1346.91195
author: Joe Y. Wakano
published in: Communications on Pure and Applied Analysis
publication date: 2013-04-29T00:00:00Z
review text: The author suggests three simple models describing the dynamics of a human society where people play a two-strategy multi-player game. The first model is a one-dimensional ODE with a bistable nonlinearity and is referred to as the single-society case. Two other models propose two different kinds of the connection between societies: migration (two-dimensional ODE system) or spatial diffusion (one-dimensional parabolic equation of the Allen-Cahn type). For the first single-society model and for the second two-society model one mainly looks at the stability of equilibria, whereas for the third model one makes predictions based on the known properties of traveling wave solutions. The results are interpreted in terms of the payoff-dependent update rule of strategy and the social learning with conformism.
Mathematics Subject Classification ID: 91D10
Mathematics Subject Classification ID: 91A80
Mathematics Subject Classification ID: 35Q91
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 6159013
zbMATH Keywords: human society model
zbMATH Keywords: social learning
zbMATH Keywords: game theory
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: traveling wave solution
reviewed by: Oleh Omel'chenko
MaRDI profile type: Publication
full work available at URL: cpaa.2012.11.375
OpenAlex ID: W2324887573
DOI: 10.3934/CPAA.2012.11.375
description: scientific article; zbMATH DE number 6159013