Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics. (25th August 2016)

• Record Type: Journal Article
• Authors: Tabata, Minoru; Eshima, Nobuoki
• Other Names: Anderson Douglas R. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2016(2016)
• Publication Date: 2016-08-25
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2016/4021516
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We study the initial-value problem for the replicator equation of theN -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.