IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://depocenwp.org/upload/pubs/CuongLeVan/Existence,%20Optimality%20and%20Dynamics%20of%20Equilibria%20with%20Endogenous%20Time%20Preference_DEPOCENWP.pdf
Download Restriction: no

Paper provided by Development and Policies Research Center (DEPOCEN), Vietnam in its series Working Papers with number 04.

as
in new window

Length: 39 pages
Date of creation: 2011
Date of revision:
Handle: RePEc:dpc:wpaper:0411
Contact details of provider: Postal:
8-9 2nd Floor, 216 Tran Quang Khai Street, Hanoi

Phone: 844-3935-1419
Fax: 844-3935-1418
Web page: http://www.depocenwp.org
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Jorge Duran & Cuong Le Van, 2003. "Simple Proof of Existence of Equilibrium in a One-Sector Growth Model with Bounded or Unbounded Returns from below," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119082, HAL.
  2. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
  3. Quah, Danny T, 1996. "Convergence Empirics across Economies with (Some) Capital Mobility," Journal of Economic Growth, Springer, vol. 1(1), pages 95-124, March.
  4. Robert E. Lucas Jr. & Nancy L. Stokey, 1982. "Optimal Growth with Many Consumers," Discussion Papers 518, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Benhabib, Jess & Farmer, Roger E A, 1996. "Indeterminacy and Sector-specific Externalities," CEPR Discussion Papers 1403, C.E.P.R. Discussion Papers.
  6. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-51, April.
  7. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May.
  8. Amir, Rabah & Mirman, Leonard J & Perkins, William R, 1991. "One-Sector Nonclassical Optimal Growth: Optimality Conditions and Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 625-44, August.
  9. Lawrance, Emily C, 1991. "Poverty and the Rate of Time Preference: Evidence from Panel Data," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 54-77, February.
  10. Askenazy, P. & Le Van, C., 1997. "A Model of Optimal Growth Strategy," DELTA Working Papers 97-27, DELTA (Ecole normale supérieure).
  11. Glenn W. Harrison & Morten I. Lau & Melonie B. Williams, 2001. "Estimating Individual Discount Rates in Denmark: A Field Experiment," NCEE Working Paper Series 200102, National Center for Environmental Economics, U.S. Environmental Protection Agency, revised Nov 2001.
  12. 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.
  13. Iwai, Katsuhito, 1972. "Optimal economic growth and stationary ordinal utility --A fisherian approach," Journal of Economic Theory, Elsevier, vol. 5(1), pages 121-151, August.
  14. Samwick, Andrew A., 1998. "Discount rate heterogeneity and social security reform," Journal of Development Economics, Elsevier, vol. 57(1), pages 117-146, October.
  15. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
  16. Araujo, A, 1991. "The Once but Not Twice Differentiability of the Policy Function," Econometrica, Econometric Society, vol. 59(5), pages 1383-93, September.
  17. repec:dau:papers:123456789/416 is not listed on IDEAS
  18. 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).
  19. Majumdar, Mukul & Mitra, Tapan, 1982. "Intertemporal allocation with a non-convex technology: The aggregative framework," Journal of Economic Theory, Elsevier, vol. 27(1), pages 101-136, June.
  20. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, Oxford University Press, vol. 112(3), pages 729-758.
  21. Michael Stern, 2006. "Endogenous time preference and optimal growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 49-70, September.
  22. Maurice Obstfeld, 1989. "Intertemporal Dependence, Impatience, and Dynamics," NBER Working Papers 3028, National Bureau of Economic Research, Inc.
  23. Rolf Mantel, 1998. "Optimal Economic growth with recursive preferences: decreasing rate of time preference," Estudios de Economia, University of Chile, Department of Economics, vol. 25(2 Year 19), pages 161-178, December.
  24. Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
  25. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
  26. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
  27. repec:dau:papers:123456789/13605 is not listed on IDEAS
  28. Kazuo Nishimura & Alain Venditti, 2006. "Indeterminacy in discrete-time infinite-horizon models," Working Papers halshs-00410763, HAL.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:dpc:wpaper:0411. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Doan Quang Hung)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.