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Optimal Accumulation in a Small Open Economy With Technological Uncertainty

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Manjira Datta () (Arizona State University)

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Abstract

This paper analyzes the optimal allocation problem of a small country facing an uncertain technology and trading. It is involved in production of many commodities. Differentiability cannot be guaranteed, hence, the Ramsey-Euler condition of optimality needs to be modified. From the optimality criterion, we derive a pair of conditions, which does not require differentiability. If "enough" uncertainty is allowed, the sequence of the distribution functions of investment expenditure converges uniformly to a unique invariant measure.

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Paper provided by Arizona State University, Department of Economics in its series Working Papers with number 97/9.

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Handle: RePEc:wop:astewp:9709

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General
O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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  1. Mirman, Leonard J. & Zilcha, Itzhak, 1975. "On optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 11(3), pages 329-339, December. [Downloadable!] (restricted)
  2. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December. [Downloadable!] (restricted)
  3. Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June. [Downloadable!] (restricted)
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  1. Olson, Lars & Roy, Santanu, 2005. "Theory of Stochastic Optimal Economic Growth," Working Papers 28601, University of Maryland, Department of Agricultural and Resource Economics. [Downloadable!]
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This page was last updated on 2009-12-2.

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