Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/4021516 |
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| _version_ | 1832561666237136896 |
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| author | Minoru Tabata Nobuoki Eshima |
| author_facet | Minoru Tabata Nobuoki Eshima |
| author_sort | Minoru Tabata |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d1da17d2ccbc4b97acabc11b2130a60d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d1da17d2ccbc4b97acabc11b2130a60d2025-02-03T01:24:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/40215164021516Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial EconomicsMinoru Tabata0Nobuoki Eshima1Department of Mathematical Sciences, Osaka Prefecture University, Sakai, Osaka 599-8531, JapanDepartment of Statistics, Oita University, Oita 879-5593, JapanWe 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.http://dx.doi.org/10.1155/2016/4021516 |
| spellingShingle | Minoru Tabata Nobuoki Eshima Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics Discrete Dynamics in Nature and Society |
| title | Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics |
| title_full | Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics |
| title_fullStr | Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics |
| title_full_unstemmed | Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics |
| title_short | Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics |
| title_sort | convergence of global solutions to the cauchy problem for the replicator equation in spatial economics |
| url | http://dx.doi.org/10.1155/2016/4021516 |
| work_keys_str_mv | AT minorutabata convergenceofglobalsolutionstothecauchyproblemforthereplicatorequationinspatialeconomics AT nobuokieshima convergenceofglobalsolutionstothecauchyproblemforthereplicatorequationinspatialeconomics |