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Optimal Accumulation in a Small Open Economy with Technological Uncertainty

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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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  • Manjira Datta, "undated". "Optimal Accumulation in a Small Open Economy with Technological Uncertainty," Working Papers 2132840, Department of Economics, W. P. Carey School of Business, Arizona State University.
  • Handle: RePEc:asu:wpaper:2132840
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    1. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    2. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    3. Mukul Majumdar & Tapan Mitra & Yaw Nyarko, 1989. "Dynamic Optimization Under Uncertainty: Non-convex Feasible Set," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Joan Robinson and Modern Economic Theory, chapter 19, pages 545-590, Palgrave Macmillan.
    4. Mirman, Leonard J. & Zilcha, Itzhak, 1975. "On optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 11(3), pages 329-339, December.
    5. Goldin,Ian & Winters,L. Alan (ed.), 1992. "Open Economies," Cambridge Books, Cambridge University Press, number 9780521420563, September.
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    More about this item

    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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