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Stochastic Optimal Growth with Risky Labor Supply

  • Yiyong Cai

    ()

  • Takashi Kamihigashi

    ()

  • John Stachurski

    ()

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://cbe.anu.edu.au/researchpapers/econ/wp585.pdf
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Paper provided by Australian National University, College of Business and Economics, School of Economics in its series ANU Working Papers in Economics and Econometrics with number 2012-585.

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Length: 29 Pages
Date of creation: Oct 2012
Date of revision:
Handle: RePEc:acb:cbeeco:2012-585
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  1. Goenka, Aditya & Le Van, Cuong & Nguyen, Manh-Hung, 2010. "Existence of competitive equilibrium in an optimal growth model with heterogeneous agents and endogenous leisure," LERNA Working Papers 10-24-330, LERNA, University of Toulouse.
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  4. Coleman, Wilbur II, 1997. "Equilibria in Distorted Infinite-Horizon Economies with Capital and Labor," Journal of Economic Theory, Elsevier, vol. 72(2), pages 446-461, February.
  5. Stefano Bosi & Cuong Le Van, 2011. "On the Existence of a Ramsey Equilibrium with Endogenous Labor Supply and Borrowing Constraints," Working Papers 24, Development and Policies Research Center (DEPOCEN), Vietnam.
  6. Yiyong Cai & Takashi Kamihigashi & John Stachurski, 2012. "Stochastic Optimal Growth with Risky Labor Supply," ANU Working Papers in Economics and Econometrics 2012-585, Australian National University, College of Business and Economics, School of Economics.
  7. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2012. "Stationary Markovian equilibrium in altruistic stochastic OLG models with limited commitment," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 115-132.
  8. 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.
  9. 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.
  10. Brock, William A & Mirman, Leonard J, 1973. "Optimal Economic Growth and Uncertainty: The No Discounting Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 560-73, October.
  11. Stachurski, John, 2002. "Stochastic Optimal Growth with Unbounded Shock," Journal of Economic Theory, Elsevier, vol. 106(1), pages 40-65, September.
  12. Jeremy Greenwood & Gregory W. Huffman, 1993. "On the existence of nonoptimal equilibria in dynamic stochastic economies," Research Paper 9330, Federal Reserve Bank of Dallas.
  13. Nishimura, Kazuo & Stachurski, John, 2005. "Stability of stochastic optimal growth models: a new approach," Journal of Economic Theory, Elsevier, vol. 122(1), pages 100-118, May.
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  15. Takashi Kamihigashi, 2006. "Stochastic Optimal Growth with Bounded or Unbounded Utility and with Bounded or Unbounded Shocks," Discussion Paper Series 189, Research Institute for Economics & Business Administration, Kobe University.
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  21. Takashi Kamihigashi & John Stachurski, 2013. "Stochastic Stability in Monotone Economies," Discussion Paper Series DP2013-02, Research Institute for Economics & Business Administration, Kobe University.
  22. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
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