On the dynamics of capital accumulation across space

Camacho C, Zou B, Briani M (2005) Working Papers. Institute of Mathematical Economics; 376.
Bielefeld: Universität Bielefeld.

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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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Camacho C, Zou B, Briani M. On the dynamics of capital accumulation across space. Working Papers. Institute of Mathematical Economics. Vol 376. Bielefeld: Universität Bielefeld; 2005.
Camacho, C., Zou, B., & Briani, M. (2005). On the dynamics of capital accumulation across space (Working Papers. Institute of Mathematical Economics, 376). Bielefeld: Universität Bielefeld.
Camacho, C., Zou, B., and Briani, M. (2005). On the dynamics of capital accumulation across space. Working Papers. Institute of Mathematical Economics, 376, Bielefeld: Universität Bielefeld.
Camacho, C., Zou, B., & Briani, M., 2005. On the dynamics of capital accumulation across space, Working Papers. Institute of Mathematical Economics, no.376, Bielefeld: Universität Bielefeld.
C. Camacho, B. Zou, and M. Briani, On the dynamics of capital accumulation across space, Working Papers. Institute of Mathematical Economics, vol. 376, Bielefeld: Universität Bielefeld, 2005.
Camacho, C., Zou, B., Briani, M.: On the dynamics of capital accumulation across space. Working Papers. Institute of Mathematical Economics, 376. Universität Bielefeld, Bielefeld (2005).
Camacho, Carmen, Zou, Benteng, and Briani, Maya. On the dynamics of capital accumulation across space. Bielefeld: Universität Bielefeld, 2005. Working Papers. Institute of Mathematical Economics. 376.
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