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Existence, Optimality and Dynamics of Equilibria with Endogenous Time Preference

  • Cuong Le Van

    ()

    (PSE, CNRS, University Paris 1, CES, France.)

  • Cagri Saglam

    ()

    (Department of Economics, Bilkent University, Turkey)

  • Selman Erol

    ()

    (Department of Economics, Bilkent University, Turkey)

To account for the development patterns that differ considerably among economies in the long run, a variety of one-sector models that incorporate some degree of market imperfections based on technological external effects and increasing returns have been presented. This paper studies the dynamic implications of, yet another mechanism, the endogenous rate of time preference depending on the stock of capital, in a one-sector growth model. The planner’s problem is presented and the optimal paths are characterized. We show that development or poverty traps can arise even under a strictly convex technology. We also show that even under a convex-concave technology, the optimal path can exhibit global convergence to a unique stationary point. The multipliers system associated with an optimal path is proven to be the supporting price system of a competitive equilibrium under externality and detailed results concerning the properties of optimal (equilibrium) paths are provided. We show that the model exhibits globally monotone capital sequences yielding a richer set of potential dynamics than the classic model with exogenous discounting.

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File URL: http://depocenwp.org/upload/pubs/CuongLeVan/Existence,%20Optimality%20and%20Dynamics%20of%20Equilibria%20with%20Endogenous%20Time%20Preference_DEPOCENWP.pdf
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Paper provided by Development and Policies Research Center (DEPOCEN), Vietnam in its series Working Papers with number 04.

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Length: 39 pages
Date of creation: 2011
Date of revision:
Handle: RePEc:dpc:wpaper:0411
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  14. Duran, Jorge & Le Van, Cuong, 2000. "A simple proof of existence of equilibrium in a one sector growth modelp with bounded or unbounded returns from below," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000025, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  15. 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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  23. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5 Elsevier.
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