1. Existence of Optimal Programs of Accumulation for an Infinite Time Horizon.
- Author
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Von Weizs ä cker, Carl Christian
- Subjects
ECONOMIC development ,MATHEMATICAL models of economics ,TIME ,UTILITY theory ,CONSUMPTION (Economics) ,MATHEMATICAL models ,ECONOMICS ,SOCIAL sciences ,BUSINESS - Abstract
There has been a considerable revival of interest in models of the type discussed by Ramsey as early as 1928. In the new discussion about the Ramsey approach to the problem of optimal growth the question has been raised whether there always exists an optimal accumulation program in such a model. It turned out that this question is quite difficult to answer. What Ramsey did, was to maximize an integral over the whole nonnegative part of the time axis. Chakravarty has pointed out in [2] that this integral need not converge even if the policy proposed by Ramsey (as being optimal) is adopted. The question is whether this divergence of the integral indicates that there exists no optimal policy. The divergence certainly compels us to find other methods than just maximizing an integral subject to certain constraints. But, as will be seen in this paper and as is implied in an unpublished paper by Koopmans, the divergence of the utility integral does not necessarily mean that no optimal program of accumulation exists. [ABSTRACT FROM AUTHOR]
- Published
- 1965
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