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

Joint Authors

Tabata, M.
Eshima, Nobuoki

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-08-25

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Tabata, M.& Eshima, Nobuoki. 2016. Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103429

Modern Language Association (MLA)

Tabata, M.& Eshima, Nobuoki. Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1103429

American Medical Association (AMA)

Tabata, M.& Eshima, Nobuoki. Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103429

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1103429