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Time as an Endogenous Random Variable Smoothly Embedded into Preference Manifold

Author

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  • Dai, Darong

Abstract

A general equilibrium model has been constructed in a stochastic endogenous growth economy driven by an Ito-Levy diffusion process. The minimum time to “economic maturity” for an underdeveloped economy has been computed both in the preference manifold of the modified Ramsey fashion and in that of the modified Radner fashion with its support, i.e., fiscal policies and savings strategy, endogenously determined. Furthermore, the effects of different information structures to the endogenous time have been thoroughly investigated, and local sensitivity analyses of optimal consumption per capita with respect to the initial level of capital stock per capita have been smoothly incorporated into the current macroeconomic model.

Suggested Citation

  • Dai, Darong, 2011. "Time as an Endogenous Random Variable Smoothly Embedded into Preference Manifold," MPRA Paper 40182, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:40182
    as

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    File URL: https://mpra.ub.uni-muenchen.de/40182/1/MPRA_paper_40182.pdf
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    References listed on IDEAS

    as
    1. Coles, Jeffrey Link, 1985. "Equilibrium Turnpike Theory with Constant Returns to Scale and Possible Heterogeneous Discount Factors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 671-679, October.
    2. Kenneth L. Judd, 1997. "The Optimal Tax Rate for Capital Income is Negative," NBER Working Papers 6004, National Bureau of Economic Research, Inc.
    3. Philippe Aghion, 2004. "Growth and Development: A Schumpeterian Approach," Annals of Economics and Finance, Society for AEF, vol. 5(1), pages 1-25, May.
    4. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Stochastic endogenous growth; Minimum time to “economic maturity”; Optimal taxation policies; Endogenous savings rate; Preference manifold; Information structure; Local sensitivity analyses; Optimal stopping time; Levy diffusion;

    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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