A new look at optimal growth under uncertainty

Journal of Economic Dynamics and Control

Volumn 22, Issue 1, 1997, Pages 67-86

  Amir, Rabah ^a  

^a WZB BERLIN SOCIAL SCIENCE CENTER   (Germany)

Author keywords

Dynamic programming; Optimal growth; Smooth policy function; Stochastic dominance

Indexed keywords

EID: 0031280707     PISSN: 01651889     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-1889(97)00042-0     Document Type: Article

References (31)

1. Amir, R, 1989. Globally optimal paths in the nonclassical growth model. Computers and Mathematics with Applications 18, 663-674.
2. Amir, R., 1996a. Continuous stochastic games of capital accumulation with convex transitions. Games and Economic Behavior 15, 111-131.
3. Amir, R., 1996b. Strategic intergenerational bequests under stochastic convex production. Economic Theory 8, 367-376.
4. Amir, R., Mirman, L., Perkins, W., 1991. One-sector nonclassical optimal growth: optimality conditions and comparative dynamics. International Economic Review 32, 625-644.
5. Araujo, A., 1991. The once but not twice differentiability of the policy function. Econometrica 1383-1394.
6. Bertsekas, D., Shreve, S. 1978. Stochastic Optimal Control: The Discrete-Time Case, Academic Press, New York.
7. Blume, L., Easley, D., O'Hara, M., 1982. Characterization of optimal plans for stochastic dynamic programs. Journal of Economic Theory 28, 221-234.
8. Brock, W., Mirman, L., 1972. Optimal economic growth and uncertainty: the discounted case. Journal of Economic Theory 4, 479-513.
9. Brock, W., Mirman L., 1973. Optimal economic growth and uncertainty: the no discounting case. International Economic Review 14, 560-572.
10. Danthine, J.-P., Donaldson, J., 1981. Stochastic properties of slow vs. fast growing economies. Econometrica 1007-1033.
11. Dechert, D., Nishimura, K., 1983. A complete characterization of optimal growth paths in an aggregated model with a nonconcave production function. Journal of Economic Theory 31, 332-354.
12. Goffman, C., 1965. Calculus of Several Variables. Harper and Row, New York.
13. Harris, M., 1987. Dynamic Economic Analysis. Oxford University Press, New York.
14. Hewitt, E., Stromberg, K., 1965. Real and Abstract Analysis. Springer, New York, pp. 153-164.
15. Hopenhayn, H., Prescott, E., 1992. Stochastic monotonicity and stationary distributions for dynamic economies. Econometrica 60, 1387-1406.
16. Huffman, G., Kiefer N., 1990. Optimal learning in a one-sector growth model. CAE Working Paper #90-24.
17. Levhari, D., Srinivasan T., 1969. Optimal savings under Uncertainty. Review of Economic Studies XXXVI, 153-164.
18. Li, L., 1988. A stochastic theory of the firm. Mathematics of Operations Research. 13, 447-466.
19. Majumdar, M., Mitra, T., Nyarko, Y., 1989. Dynamic optimization under uncertainty: nonconvex feasible set. in Feiwel, G. (Ed.), Joan Robinson and Modern Economic Theory, MacMillan, New York, pp. 545-590.
20. Mendelsohn, D., Sobel, M., 1980. Capital accumulation and the optimization of renewable resource models. Journal of Economic Theory 23, 243-260.
21. Mirman, L., 1971. Uncertainty and optimal consumption decisions. Econometrica 39, 179-185.
22. Mirman, L., 1972. On the existence of steady-state measures for one-sector growth models with uncertainty technology. International Economic Review 13, 271-286.
23. Mirman, L., 1973. The Steady-state behavior of a class of one-sector growth models with uncertainty technology. Journal of Economic Theory 6, 219-242.
24. Mirman, L., Zilcha, Y., 1975, On optimal growth under uncertainty. Journal of Economic Theory 11, 329-339.
25. Mirman, L., Zilcha, Y., 1976. Unbounded shadow prices for optimal stochastic growth models. International Economic Review. 17, 121-132.
26. Mirrlees, J.A., 1971. Optimal growth and uncertainty. Nuffield College, Oxford.
27. Phelps, E., 1962. The accumulation of risky capital: a sequential utility analysis. Econometrica 30, 729-743.
28. Santos, M.S., 1991. Smoothness of the policy function in discrete time economic models. Econometrica 1365-1382.
29. Stokey, N., Lucas, R., Prescott, E., 1989. Recursive Methods in Economic Dynamics. Harvard University Press, Cambridge, MA.
30. Stoyan, D., 1983. Comparison Methods for Queues and Other Stochastic Models. Wiley, New York.
31. Topkis, D., 1978. Minimizing a submodular function on a lattice. Operations Research 26 (2) 305-321.