Thompson metric, contraction property and differentiability of policy functions

Journal of Economic Behavior and Organization

Volumn 33, Issue 3-4, 1998, Pages 449-466

  Montrucchio, Luigi ^a  

^a UNIVERSITY OF TURIN   (Italy)

Author keywords

Dynamic programming; Growth models; Iterative methods

Indexed keywords

EID: 0032517948     PISSN: 01672681     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-2681(97)00069-3     Document Type: Article

References (16)

1. Araujo, A., 1991. The once but not twice differentiability of the policy function, Econometrica 59, 1383-1391.
2. Araujo, A., Scheinkman, J.A., 1977. Smoothness, comparative dynamics and the turnpike property, Econometrica 45, 601-620.
3. Benveniste, L.M., Scheinkman, J.A., 1979. On the differentiability of the value function, Econometrica 47, 727-732.
4. Blackwell, D., 1965. Discounted dynamic programming, Annals of Mathematical Statistics 36, 226-235.
5. Boldrin, M., Montrucchio, L., 1989. On the differentiability of the policy function, Unpublished manuscript, University of California, Los Angeles.
6. Dieudonné, J., 1969. Foundations of Modern Analysis, Academic Press, New York.
7. McKenzie, L.W., Optimal economic growth, turnpike theorems and comparative dynamics, in: Arrow, K.J., Intriligator, M.D. (Eds.), Handbook of Mathematical Economics, Vol. III, North-Holland, Amsterdam, 1986.
8. Montrucchio, L., 1987. Lipschitz continuous policy functions for strongly concave optimization problems, Journal of Mathematical Economics 16, 259-273.
9. Montrucchio, L., 1994. Dynamic complexity of optimal paths and discount factor for strongly concave problems, Journal of Optimization Theory and Applications 80, 385-406.
10. Nussbaum, R.D., Hilbert's projective metric iterated nonlinear maps, Memoirs of the American Mathematical Society, 391, Providence, Rhode Island, 1988.
11. Santos, M.S., 1991. Smoothness of the policy functions in discrete-time economic models, Econometrica 59, 1365-1382.
12. Santos, M.S., 1993. On high-order differentiability of the policy function, Economic Theory 3, 565-570.
13. Santos, M.S., 1994. Smooth dynamics and computation in models of economic growth, Journal of Economic Dynamics and Control 18, 879-895.
14. Scheinkman, J.A., 1976. Or optimal steady states on n-sector growth models when utility is discounted, Journal of Economic Theory 12, 11-30.
15. Stokey, N.L., Lucas, R.E., Prescott, E.C., 1989. Recursive Methods in Economic Dynamics, Harvard University Press, Cambridge.
16. Thompson, A.C., 1963. On certain contraction mappings in a partially ordered vector space, Proceeding of American Mathematical Society 14, 438-443.