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Time preference and cyclical endogenous growth

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  • Gomes, Orlando

Abstract

The paper develops an AK endogenous growth model with an endogenously determined rate of intertemporal preference. Following some of the related literature, we assume that the degree of impatience that is revealed by the representative agent, regarding future consumption, depends on income. To be precise, the proposed framework establishes a link between the output gap and the discount rate attached to the sequence of future utility functions. We analyze both local and global dynamics. From a local analysis point of view, a variety of stability results is possible to obtain, depending on parameter values. The study of global dynamics allows to find endogenous business cycles under some reasonable circumstances. On a second stage, the model is extended to include the role of leisure.

Suggested Citation

  • Gomes, Orlando, 2007. "Time preference and cyclical endogenous growth," MPRA Paper 3282, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:3282
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    References listed on IDEAS

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    1. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 729-758.
    2. Boldrin, Michele & Nishimura, Kazuo & Shigoka, Tadashi & Yano, Makoto, 2001. "Chaotic Equilibrium Dynamics in Endogenous Growth Models," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 97-132, January.
    3. 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.
    4. Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2671-2692, December.
    5. Samwick, Andrew A., 1998. "Discount rate heterogeneity and social security reform," Journal of Development Economics, Elsevier, vol. 57(1), pages 117-146, October.
    6. Caballe, Jordi & Jarque, Xavier & Michetti, Elisabetta, 2006. "Chaotic dynamics in credit constrained emerging economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1261-1275, August.
    7. Christiano, Lawrence J. & G. Harrison, Sharon, 1999. "Chaos, sunspots and automatic stabilizers," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 3-31, August.
    8. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861.
    9. Kazuo Nishimura & Makoto Yano, 2012. "Non-linear Dynamics and Chaos in Optimal Growth: An Example," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 127-150, Springer.
    10. Balasko Yves & Ghiglino Christian, 1995. "On the Existence of Endogenous Cycles," Journal of Economic Theory, Elsevier, vol. 67(2), pages 566-577, December.
    11. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521558747.
    12. Cellarier, Laurent, 2006. "Constant gain learning and business cycles," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 51-85, March.
    13. Jerry A. Hausman, 1979. "Individual Discount Rates and the Purchase and Utilization of Energy-Using Durables," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 33-54, Spring.
    14. Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 633-664, November.
    15. repec:cup:macdyn:v:6:y:2002:i:5:p:633-64 is not listed on IDEAS
    16. 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.
    17. Palivos, Theodore & Wang, Ping & Zhang, Jianbo, 1997. "On the Existence of Balanced Growth Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 205-224, February.
    18. Nishimura, Kazuo & Sorger, Gerhard & Yano, Makoto, 1994. "Ergodic Chaos in Optimal Growth Models with Low Discount Rates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 705-717, August.
    19. Drugeon, Jean-Pierre, 1996. "Impatience and long-run growth," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 281-313.
    20. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
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    Cited by:

    1. Mauro Sodini, 2011. "Local and Global Dynamics in an Overlapping Generations Model with Endogenous Time Discounting," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 277-293, October.

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    More about this item

    Keywords

    Time preference; Endogenous growth; Endogenous fluctuations; Quasiperiodic orbits;
    All these keywords.

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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