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Multiple Interior Steady States in the Ramsey Model with Elastic Labor Supply

  • Takashi Kamihigashi

In this paper we show that multiple interior steady states are pos- sible in the Ramsey model with elastic labor supply. In particular we establish the following three results: (i) for any discount factor and production function, there is a utility function such that a continuum of interior steady states exist; (ii) the number of interior steady states can also be any nite number; and (iii) for any discount factor and production function, there is a utility function such that there is no interior steady state. Some numerical examples are provided

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Paper provided by Department of Research, Ipag Business School in its series Working Papers with number 2014-158.

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Length: 17 pages
Date of creation: 25 Feb 2014
Date of revision:
Handle: RePEc:ipg:wpaper:2014-158
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  1. Cuong Le Van & Manh-Hung Nguyen & Yiannis Vailakis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101237, HAL.
  2. Kamihigashi, Takashi, 2005. "Necessity of the transversality condition for stochastic models with bounded or CRRA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1313-1329, August.
  3. 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.
  4. repec:hal:journl:halshs-00101237 is not listed on IDEAS
  5. Makoto Yano, 1999. "Stability and Turnpike Theorems in Dynamic Competitive Equilibrium," The Japanese Economic Review, Japanese Economic Association, vol. 50(4), pages 398-421, December.
  6. Makoto Yano, 2012. "The von Neumann–McKenzie facet and the Jones Duality theorem in two-sector optimal growth," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 213-226, 06.
  7. Kazumichi Iwasa & Kazuo Nishimura, 2014. "Dynamic two-country Heckscher–Ohlin model with externality," International Journal of Economic Theory, The International Society for Economic Theory, vol. 10(1), pages 53-74, 03.
  8. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
  9. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
  10. de Hek, Paul A., 1998. "An aggregative model of capital accumulation with leisure-dependent utility," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 255-276, September.
  11. Eric BOND & IWASA Kazumichi & NISHIMURA Kazuo, 2012. "The Dynamic Heckscher-Ohlin Model: A diagrammatic analysis," Discussion papers 12008, Research Institute of Economy, Trade and Industry (RIETI).
  12. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
  13. 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.
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