Reading List
Mathematical Economics
Differentiability of Policy Function
- Gota, M. and L. Montrucchio (1999) “On Lipschitz Continuity of Policy Functions in Continuous-Time Optimal Growth Models,” Economic Theory, Vol. 14, pp. 479-488.
- Montrucchio, L. (1987) “Lipschitz Continuous Policy Functions for Strongly Concave Optimization Problems,” Journal of Mathematical Economics, Vol. 16, pp. 259-273.
- Montrucchio, L. (1998) “Thompson Metric, Contraction Property and Differentiability of Policy Functions,” Journal of Economic Behavior & Organization, Vol. 33, pp. 449-466.
- Santos, M. (1991) “Smoothness of the Policy Function in Discrete Time Economic Models,” Econometrica, Vol. 59, pp. 1365-1382.
- Santos, M. (1993) “On High-Order Differentiability of the Policy Function,” Vol. 3, pp. 565-570.
- Santos, M. (1994) “Smooth Dynamics and Computation in Models of Economic Growth,” Journal of Economic Dynamics and Control, Vol. 18, pp. 879-895.
The proof of Theorem 4 in Montrucchio (1998) is supplemented by the result in the following paper:
- Marinacci, M. and L. Montrucchio (2010) “Unique Solutions for Stochastic Recursive Utilities,” Journal of Economic Theory, Vol. 145, pp. 1776-1804.