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Optimal growth with heterogeneous agents and the twisted turnpike: An example

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  • Robert A. Becker

Abstract

The dynamics of a welfare maximizing, heterogeneous agent, one sector optimal Ramsey model is analyzed assuming two agents, each with a distinct discount factor and log utility. Production is Cobb-Douglas. Explicit time varying policy functions are derived, one for each period. A Twisted Turnpike Property and eventually monotone dynamics are demonstrated to govern the evolution of the economy’s aggregate capital stock.

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File URL: http://hdl.handle.net/10.1111/j.1742-7363.2011.00172.x
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Bibliographic Info

Article provided by The International Society for Economic Theory in its journal International Journal of Economic Theory.

Volume (Year): 8 (2012)
Issue (Month): 1 (03)
Pages: 27-47

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Handle: RePEc:bla:ijethy:v:8:y:2012:i:1:p:27-47

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Web page: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355

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References

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  1. Timothy J. Kehoe & David K. Levine & Paul M. Romer, 1989. "Determinacy of equilibria in dynamic models with finitely many consumers," Staff Report 118, Federal Reserve Bank of Minneapolis.
  2. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
  3. Timothy J. Kehoe, 1990. "Computation and Multiplicity of Equilibria," Discussion Paper Serie A 309, University of Bonn, Germany.
  4. Coles, Jeffrey L., 1986. "Equilibrium turnpike theory with time-separable utility," Journal of Economic Dynamics and Control, Elsevier, vol. 10(3), pages 367-394, September.
  5. Cuong Le Van & Yiannis Vailakis, 2003. "Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment," Economic Theory, Springer, vol. 22(4), pages 743-771, November.
  6. Takashi Kamihigashi, 2007. "On the Principle of Optimality for Nonstationary Deterministic Dynamic Programming," Discussion Paper Series 200, Research Institute for Economics & Business Administration, Kobe University.
  7. T. J. Kehoe & D. K. Levine, 1982. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Working papers 312, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. 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 671-79, October.
  9. Bliss, Christopher, 1999. "The Real Rate of Interest: A Theoretical Analysis," Oxford Review of Economic Policy, Oxford University Press, vol. 15(2), pages 46-58, Summer.
  10. Dur n, Jorge & Le Van, Cuong, 2003. "Simple Proof Of Existence Of Equilibrium In A One-Sector Growth Model With Bounded Or Unbounded Returns From Below," Macroeconomic Dynamics, Cambridge University Press, vol. 7(03), pages 317-332, June.
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Cited by:
  1. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," Caepr Working Papers 2012-001, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  2. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On Existence, Efficiency and Bubbles of Ramsey Equilibrium with Borrowing Constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00793530, HAL.
  3. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Documents de travail du Centre d'Economie de la Sorbonne 11045, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  4. 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.
  5. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," AMSE Working Papers 1231, Aix-Marseille School of Economics, Marseille, France, revised 11 Nov 2012.
  6. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00612131, HAL.

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