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Optimal economic growth through capital accumulation in a spatially heterogeneous environment
1 : Groupement de Recherche en Économie Quantitative d'Aix-Marseille
(GREQAM)
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Website
Université de la Méditerranée - Aix-Marseille II, Université Paul Cézanne - Aix-Marseille III, École des Hautes Études en Sciences Sociales [EHESS], CNRS : UMR7316, Ecole des Hautes Etudes en Sciences Sociales (EHESS)
Centre de la Charité, 2 rue de la Charité, 13236 Marseille cedex 02 -
France
2 : Aix-Marseille School of Economics
(AMSE)
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Website
Ecole Centrale Marseille (ECM), Ecole des Hautes Etudes en Sciences Sociales (EHESS), Centre national de la recherche scientifique (CNRS)
GREQAM, Centre de la Charité, 2 rue de la Charité, 13236 Marseille Cedex 02 -
France
3 : Libera Universita Internazionale degli Studi Sociali Guido Carli di Roma
(Luiss Guido Carli)
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Website
Viale Pola, 12 - 00198 - Rome, Italy -
Italy
4 : Università of Siena
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Website
Università degli Studi di Siena Rettorato, Via Banchi di Sotto 55, 53100 Siena -
Italy
We design a general set-up for the study of a generic economy whose development process is entirely driven by the spatio-temporal dynamics of capital accumulation. It allows us to take into account spatial heterogeneities in technological level and population distribution. The expression of the optimal dynamics of the system allows to simulate the behavior of the variables and, in particular, their optimal discounted long-run spatial distribution. The numerical results allow to study the two main effects at work when the space distributions of technology and population are heterogeneous: the core-periphery effect and the population effect.
