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Stochastic Optimal Growth with Nonconvexities

In: Nonlinear Dynamics in Equilibrium Models

Author

Listed:
  • Kazuo Nishimura

    (Kyoto University)

  • Ryszard Rudnicki

    (University of Silesia)

  • John Stachurski

    (Australian National University)

Abstract

The stochastic optimal growth model (Brock and Mirman 1972) is a foundation stone of modern macroeconomic and econometric research. To accommodate the data, however, economists are often forced to go beyond the convex production tech- nology used in these original studies. Nonconvexities lead to technical difficulties which applied researchers would rather not confront. Value functions are in general no longer smooth, optimal policies contain jumps, and the Euler equation may not hold.

Suggested Citation

  • Kazuo Nishimura & Ryszard Rudnicki & John Stachurski, 2012. "Stochastic Optimal Growth with Nonconvexities," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 261-288, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-22397-6_11
    DOI: 10.1007/978-3-642-22397-6_11
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    Cited by:

    1. is not listed on IDEAS
    2. Takashi Kamihigashi, 2006. "Almost sure convergence to zero in stochastic growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 231-237, September.
    3. Ha-Huy, Thai & Tran, Nhat Thien, 2020. "A simple characterisation for sustained growth," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 141-147.
    4. John Stachurski & Vance Martin, 2008. "Computing the Distributions of Economic Models via Simulation," Econometrica, Econometric Society, vol. 76(2), pages 443-450, March.
    5. Kamihigashi, Takashi, 2007. "Stochastic optimal growth with bounded or unbounded utility and with bounded or unbounded shocks," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 477-500, April.
    6. Tapan Mitra & Santanu Roy, 2023. "Stochastic growth, conservation of capital and convergence to a positive steady state," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(1), pages 311-351, July.
    7. Ha-Huy, Thai & Tran, Nhat-Thien, 2019. "A simple characterization for sustained growth," MPRA Paper 94576, University Library of Munich, Germany.
    8. Lars J. Olson & Santanu Roy, 2006. "Theory of Stochastic Optimal Economic Growth," Springer Books, in: Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), Handbook on Optimal Growth 1, chapter 11, pages 297-335, Springer.
    9. Takashi Kamihigashi & John Stachurski, 2014. "Stability Analysis for Random Dynamical Systems in Economics," Discussion Paper Series DP2014-35, Research Institute for Economics & Business Administration, Kobe University.
    10. Mitra, Tapan & Roy, Santanu, 2007. "On the possibility of extinction in a class of Markov processes in economics," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 842-854, September.

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