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A model with endogenously determined cycles, discounting and growth

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  • Jean-Pierre Drugeon

    (C.n.r.s.-M.a.d., 90, rue de Tolbiac, F-75634 Paris Cedex 13, FRANCE)

Abstract

This article reexamines the role of consumption in growth and emphasises the external effects of aggregate consumption, viewed as consumption standards, as an additional impediment in the growth process. These external effects raise the productivity of the individuals and are positively related to their valuation of the future. Conditions are established under which this results in a marginal value of wealth that is an increasing function of consumption. This brings new types of multiple steady states, local indeterminacies and cyclical motions. Imposing extra homogeneity restrictions, balanced growth solutions with endogenous impatience emerge. The possibility of multiple convergent paths is univocally related to endogenous discount effects. A comparison with a benchmark planning economy indicates an excessive value for the rate of time preference and emphasises its insufficient adaptation to future utility in a stationary setting. Discrepancies along the transition path that rest on endogenous impatience versus fixed discount appear in a non-stationary environment when the competitive balanced growth solution is indeterminate.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 12 (1998)
Issue (Month): 2 ()
Pages: 349-369

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Handle: RePEc:spr:joecth:v:12:y:1998:i:2:p:349-369

Note: Received: May 5, 1996; revised version: May 19, 1997
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Cited by:
  1. Kirill Borissov, 2013. "The existence of equilibrium paths in an AK-model with endogenous time preferences and borrowing constraints," EUSP Deparment of Economics Working Paper Series Ec-01/13, European University at St. Petersburg, Department of Economics.
  2. Gomes, Orlando, 2007. "Socially determined time preference in discrete time," MPRA Paper 3442, University Library of Munich, Germany.
  3. Gomes, Orlando, 2007. "Time preference and cyclical endogenous growth," MPRA Paper 3282, University Library of Munich, Germany.
  4. Chen, Been-Lon & Hsu, Mei, 2009. "Consumption externality, efficiency and optimal taxation in one-sector growth model," Economic Modelling, Elsevier, vol. 26(6), pages 1328-1334, November.
  5. Huang, Kevin X.D. & Meng, Qinglai, 2007. "The Harberger-Laursen-Metzler effect under capital market imperfections," Journal of International Money and Finance, Elsevier, vol. 26(6), pages 1001-1015, October.
  6. Kamihigashi, Takashi, 2002. "Externalities and nonlinear discounting: Indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 26(1), pages 141-169, January.
  7. Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2671-2692, December.
  8. Orlando Gomes, 2008. "Time Preference and Cyclical Endogenous Growth in an AK Growth Model," Notas Económicas, Faculdade de Economia, Universidade de Coimbra, issue 28, pages 32-55, December.
  9. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
  10. Pedro de Mendonça, 2013. "Nonlinear Phenomena in a Growing Economy with Convex Adjustment Costs," EERI Research Paper Series EERI RP 2013/05, Economics and Econometrics Research Institute (EERI), Brussels.
  11. Borissov, Kirill, 2013. "Growth and distribution in a model with endogenous time preferences and borrowing constraints," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 117-128.

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