We 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.
|Date of creation:||Feb 2013|
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|Note:||View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00801109|
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- Boucekkine, Raouf & Camacho, Carmen & Zou, Benteng, 2009.
"Bridging The Gap Between Growth Theory And The New Economic Geography: The Spatial Ramsey Model,"
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," DEGIT Conference Papers c011_039, DEGIT, Dynamics, Economic Growth, and International Trade.
- 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.
- 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).
- 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).
- 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 - Département des Sciences Economiques) 2006038, Université catholique de Louvain, Département des Sciences Economiques.
- 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.
- Carmen Camacho & Benteng Zou & Maya Briani, 2005. "On the dynamics of capital accumulation across space," Working Papers 376, Bielefeld University, Center for Mathematical Economics.
- 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.
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