Convergence of global solutions to the Cauchy problem for the replicator equation in spatial economics
type: Item
instance of: scholarly article
title: Convergence of global solutions to the Cauchy problem for the replicator equation in spatial economics
zbMATH Open document ID: 1410.91359
DOI: 10.1155/2016/4021516
author: Minoru Tabata
author: Nobuoki Eshima
published in: Discrete Dynamics in Nature and Society
publication date: 2017-11-13T00:00:00Z
review text: Summary: We study the initial-value problem for the replicator equation of the \(N\)-region Core-Periphery model in spatial economics. The main result shows that if workers are sufficiently agglomerated in a region at the initial time, then the initial-value problem has a unique global solution that converges to the equilibrium solution expressed by full agglomeration in that region.
Mathematics Subject Classification ID: 91B72
Mathematics Subject Classification ID: 91D20
zbMATH DE Number: 6806261
zbMATH Keywords: global solutions
zbMATH Keywords: Cauchy problem
zbMATH Keywords: replicator equation
zbMATH Keywords: spatial economics
Wikidata QID: Q59123480
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4021516
OpenAlex ID: W2514605972
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description: scientific article; zbMATH DE number 6806261