AbstractWe develop a model economy adapting Hotelling's migration law to make individuals react to the gradient of their indirect utility. In a first version, individuals respond uniquely to utility differences. In a second phase, we insert our migration law as a dynamic constraint in a spatial model of economic growth in which a policy maker maximizes overall welfare. In both cases we prove the existence of a unique solution under certain assumptions and for each initial distribution of human capital. We illustrate some extremely interesting properties of the economy and the associated population dynamics through numerical simulations. In the decentralized case in which a region enjoys a temporal technological advantage, an agglomeration in human capital emerges in the central area, which does not coincide with the technologically advanced area. In the complete model, initial differences in human capital can trigger everlasting inequalities in physical capital.
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Bibliographic InfoPaper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00801109.
Date of creation: Feb 2013
Date of revision:
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Migration; spatial dynamics; economic growth; parabolic PDE; optimal control;
Other versions of this item:
- Carmen Camacho, 2013. "Spatial migration," Documents de travail du Centre d'Economie de la Sorbonne 13017, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- J6 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
- R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
- R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-04-06 (All new papers)
- NEP-GEO-2013-04-06 (Economic Geography)
- NEP-MIG-2013-04-06 (Economics of Human Migration)
- NEP-URE-2013-04-06 (Urban & Real Estate Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Carmen Camacho & Benteng Zou & Maya Briani, 2005.
"On the dynamics of capital accumulation across space,"
376, Bielefeld University, Center for Mathematical Economics.
- Camacho, Carmen & Zou, Benteng & Briani, Maya, 2008. "On the dynamics of capital accumulation across space," European Journal of Operational Research, Elsevier, vol. 186(2), pages 451-465, April.
- Raouf Boucekkine & Carmen Camacho & Benteng Zou, 2006.
"Bridging the gap between growth theory and the new economic geography: The spatial Ramsey model,"
DEGIT Conference Papers
c011_039, DEGIT, Dynamics, Economic Growth, and International Trade.
- Boucekkine, Raouf & Camacho, Carmen & Zou, Benteng, 2009. "Bridging The Gap Between Growth Theory And The New Economic Geography: The Spatial Ramsey Model," Macroeconomic Dynamics, Cambridge University Press, vol. 13(01), pages 20-45, February.
- Raouf, BOUCEKKINE & Carmen, CAMACHO & Benteng, ZOU, 2006. "Bridging the Gap between Growth Theory and the New Economic Geography : The Spatial Ramsey Model," Discussion Papers (ECON - DÃ©partement des Sciences Economiques) 2006038, Université catholique de Louvain, Département des Sciences Economiques.
- BOUCEKKINE, Raouf & CAMACHO, Carmen & ZOU, Benteng, 2006. "Bridging the gap between growth theory and the new economic geography: the spatial Ramsey model," CORE Discussion Papers 2006072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- BOUCEKKINE, Raouf & CAMACHO, Carmen & ZOU, Benteng, . "Bridging the gap between growth theory and the new economic geography: The spatial Ramsey model," CORE Discussion Papers RP -2090, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Raouf Boucekkine & C. Camacho & B. Zou, 2007. "Bridging the gap between growth theory and the new economic geography: The spatial Ramsey model," Working Papers 2007_27, Business School - Economics, University of Glasgow.
- Javier Alvarez & Pascal Mossay, 2006. "Estimation of a continuous spatio-temporal population model," Journal of Geographical Systems, Springer, vol. 8(3), pages 307-316, September.
- Puu, Tonu, 1989. "On Growth and Dispersal of Populations," The Annals of Regional Science, Springer, vol. 23(3), pages 171-86.
- Raouf Boucekkine & Carmen Camacho & Giorgio Fabbri, 2013.
"On the Optimal Control of Some Parabolic Partial Differential Equations Arising in Economics,"
AMSE Working Papers
1334, Aix-Marseille School of Economics, Marseille, France, revised 05 Jun 2013.
- Raouf Boucekkine & Carmen Camacho & Giorgio Fabbri, 2013. "On the optimal control of some parabolic partial differential equations arising in economics," Documents de recherche 13-10, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- repec:hal:wpaper:halshs-00831042 is not listed on IDEAS
- Carmen CAMACHO, 2010.
"Migration modelling in the New Economic Geography,"
Discussion Papers (IRES - Institut de Recherches Economiques et Sociales)
2010004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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