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A model with endogenously determined cycles, discounting and growth

Author

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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.

Suggested Citation

  • Jean-Pierre Drugeon, 1998. "A model with endogenously determined cycles, discounting and growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 349-369.
    • 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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    Citations

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    Cited by:

    1. Gomes, Orlando, 2007. "Time preference and cyclical endogenous growth," MPRA Paper 3282, University Library of Munich, Germany.
    2. Evangelos V. Dioikitopoulos & Sarantis Kalyvitis, 2015. "Optimal Fiscal Policy with Endogenous Time Preference," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 848-873, December.
    3. Kamihigashi, Takashi, 2002. "Externalities and nonlinear discounting: Indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 26(1), pages 141-169, January.
    4. 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.
    5. Orlando Gomes, 2008. "Time Preference and Cyclical Endogenous Growth in an AK Growth Model," Notas Económicas, Faculty of Economics, University of Coimbra, issue 28, pages 32-55, December.
    6. 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.
    7. Riham BARBAR & Jean-Paul BARINCI, 2009. "Consumption Externalities, Endogenous Discounting, Heterogeneity and Cycles," EcoMod2009 21500008, EcoMod.
    8. Carmelo Pierpaolo Parello, 2021. "Free labor mobility and indeterminacy in models of neoclassical growth," Journal of Economics, Springer, vol. 133(1), pages 27-46, June.
    9. Kirill Borissov, 2013. "The Existence of Equilibrium Paths in an AK-model with Endogenous Time Preferences and Borrowing Constraints," EUSP Department of Economics Working Paper Series 2013/01, European University at St. Petersburg, Department of Economics.
    10. Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2671-2692, December.
    11. Kawagishi, Taketo, 2014. "Investment for patience in an endogenous growth model," Economic Modelling, Elsevier, vol. 42(C), pages 508-515.
    12. Gomes, Orlando, 2007. "Socially determined time preference in discrete time," MPRA Paper 3442, University Library of Munich, Germany.
    13. Toshiki Tamai, 2019. "A note on fiscal policy, indeterminacy, and endogenous time preference," Economics Bulletin, AccessEcon, vol. 39(1), pages 615-625.
    14. Been-Lon Chen & Yu-Shan Hsu & Kazuo Mino, 2013. "Can consumption habit spillovers be a source of equilibrium indeterminacy?," Journal of Economics, Springer, vol. 109(3), pages 245-269, July.
    15. Drugeon, Jean-Pierre, 1996. "Impatience and long-run growth," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 281-313.
    16. Bouché, Stéphane, 2017. "Learning by doing, endogenous discounting and economic development," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 34-43.
    17. 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.
    18. Kirill Borissov, 2013. "The Existence of Equilibrium Paths in an AK-model with Endogenous Time Preferences and Borrowing Constraints," EUSP Department of Economics Working Paper Series Ec-01/13, European University at St. Petersburg, Department of Economics.
    19. Been‐Lon Chen & Mei Hsu & Yu‐Shan Hsu, 2010. "A One‐Sector Growth Model With Consumption Standard: Indeterminate Or Determinate?," The Japanese Economic Review, Japanese Economic Association, vol. 61(1), pages 85-96, March.
    20. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
    21. 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.

    More about this item

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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