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Stochastic Optimal Growth with Risky Labor Supply

  • Yiyong CAI

    (CSIRO Centre for Complex Systems Science, Commonwealth Scientific and Industrial Research Organisation, Australia and Centre for Applied Macroeconomic Analysis, Australian National University)

  • Takashi Kamihigashi

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

  • John Stachurski

    (Research School of Economics, Australian National University, Australia)

Production takes time, and labor supply and profit maximization decisions that relate to current production are typically made before all shocks affecting that production have been realized. In this paper we re-examine the problem of stochastic optimal growth with aggregate risk where the timing of the model conforms to this information structure. We provide a set of conditions under which the economy has a unique, nontrivial and stable stationary distribution. In addition, we verify key optimality properties in the presence of unbounded shocks and rewards, and provide the sample path laws necessary for consistent estimation and simulation.

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File URL: http://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2013-23.pdf
File Function: First version, 2013
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Paper provided by Research Institute for Economics & Business Administration, Kobe University in its series Discussion Paper Series with number DP2013-23.

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Length: 27 pages
Date of creation: Aug 2013
Date of revision:
Handle: RePEc:kob:dpaper:dp2013-23
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  1. Aditya Goenka & Cuong Le Van & Manh-Hung Nguyen, 2011. "Existence of competitive equilibrium in an optimal growth model with heterogeneous agents and endogenous leisure," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00593945, HAL.
  2. Cai, Yiyong & Kamihigashi, Takashi & Stachurski, John, 2014. "Stochastic optimal growth with risky labor supply," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 167-176.
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  8. Manjira Datta & Leonard Mirman & Kevin Reffett, . "Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor," Working Papers 2132846, Department of Economics, W. P. Carey School of Business, Arizona State University.
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  28. Takashi Kamihigashi & John Stachurski, 2011. "Existence, Stability and Computation of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2011-32, Research Institute for Economics & Business Administration, Kobe University.
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