3 papers
math.OC2019
A Nonlocal Spatial Ramsey Model with Endogenous Productivity Growth on Unbounded Spatial Domains
L. Fredrick, G. Müller-Fürstenberger, E. W. Sachs +1
In the recent literature dealing with spatial extensions of the continuous Ramsey model, the capital accumulation process via time and space is modeled as a linear parabolic partia…
math.OC2019
The Nonlocal Ramsey Model for an Interacting Economy
L. Frerick, G. Müller-Fürstenberger, E. W. Sachs +1
The Ramsey model, first introduced by F. Ramsey in 1928, has become a cornerstone in the economic growth theory. Combined with the Solow model in the 1950s by the economists Cass (…
math.OC2019
Pareto-Optima for a Generalized Ramsey Model
L. Frerick, G. Müller-Fürstenberger, E. W. Sachs +1
We consider a Ramsey model with several households with heterogeneous preferences who are able to borrow capital to each other. Since the capital constraints of one household then…