On the dynamics of capital accumulation across space
We solve an optimal growth model in continuous space, continuous and bounded time. The optimizer chooses the optimal trajectories of capital and consumption across space and time by maximizing an objective function with both space and time discounting. We extract the corresponding Pontryagin conditions and prove their sufficiency. We end up with a system of two parabolic differential equations with the corresponding boundary conditions. Then, we study the roles of initial capital and technology distributions over space in various scenarios.
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- 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 & Zou Benteng, 2009. "Bridging the Gap between Growth Theory and the New Economic Geography: the Spatial Ramsey Model," Post-Print hal-00683809, HAL.
- BOUCEKKINE, Raouf & CAMACHO, Carmen & ZOU, Benteng, "undated". "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.
- 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.
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- Pascal Mossay, 2003. "Increasing Returns And Heterogeneity In A Spatial Economy," Working Papers. Serie AD 2003-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
- Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
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