Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics

Minoru Tabata and Nobuoki Eshima

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-8

Abstract:

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

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:4021516

DOI: 10.1155/2016/4021516

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