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Optimal accumulation in a small open economy with technological uncertainty

Author

Listed:
  • Manjira Datta

    (Department of Economics, Arizona State University, Box 873806, Tempe, AZ 85287-3806, USA)

Abstract

This paper analyzes the optimal allocation problem of a small trading country facing an uncertain technology. 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. In addition to the weak convergence of the stochastic process of investment expenditure we also have the sequences of the stochastic process of investment expenditure converging weakly.

Suggested Citation

  • Manjira Datta, 1999. "Optimal accumulation in a small open economy with technological uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(1), pages 207-219.
    • Handle: RePEc:spr:joecth:v:13:y:1999:i:1:p:207-219
    Note: Received: September 8, 1994; revised version: September 25, 1997
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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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