Arbeitspapier
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.
- Sprache
-
Englisch
- Erschienen in
-
Series: Working Papers ; No. 376
- Klassifikation
-
Wirtschaft
- Thema
-
Economics
Economic geography
Parabolic differential equations
Optimal control
Regionale Wachstumstheorie
Investition
Zeitpräferenz
Kontrolltheorie
Theorie
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Camacho, Carmen
Zou, Benteng
Briani, Maya
- Ereignis
-
Veröffentlichung
- (wer)
-
Bielefeld University, Institute of Mathematical Economics (IMW)
- (wo)
-
Bielefeld
- (wann)
-
2005
- Handle
- URN
-
urn:nbn:de:hbz:361-8249
- Letzte Aktualisierung
-
10.03.2025, 11:45 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Camacho, Carmen
- Zou, Benteng
- Briani, Maya
- Bielefeld University, Institute of Mathematical Economics (IMW)
Entstanden
- 2005