Time preference and cyclical endogenous growth
AbstractThe 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.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 3282.
Date of creation: May 2007
Date of revision:
Time preference; Endogenous growth; Endogenous fluctuations; Quasiperiodic orbits;
Find related papers by JEL classification:
- O41 - Economic Development, 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-05-26 (All new papers)
- NEP-DGE-2007-05-26 (Dynamic General Equilibrium)
- NEP-MAC-2007-05-26 (Macroeconomics)
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- Caballe, Jordi & Jarque, Xavier & Michetti, Elisabetta, 2006.
"Chaotic dynamics in credit constrained emerging economies,"
Journal of Economic Dynamics and Control, Elsevier,
Elsevier, vol. 30(8), pages 1261-1275, August.
- Jordi Caballe & Xavier Jarque & Elisabetta Michetti, 2004. "Chaotic Dynamics in Credit Constrained Emerging Economies," UFAE and IAE Working Papers, Unitat de Fonaments de l'AnÃ lisi EconÃ²mica (UAB) and Institut d'AnÃ lisi EconÃ²mica (CSIC) 605.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Jordi Caballé & Xavier Jarque & Elisabetta Michetti, 2004. "Chaotic Dynamics in Credit Constrained Emerging Economies," Working Papers 121, Barcelona Graduate School of Economics.
- Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521551861.
- Christiano, Lawrence J. & G. Harrison, Sharon, 1999.
"Chaos, sunspots and automatic stabilizers,"
Journal of Monetary Economics, Elsevier,
Elsevier, vol. 44(1), pages 3-31, August.
- Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, sunspots, and automatic stabilizers," Staff Report, Federal Reserve Bank of Minneapolis 214, Federal Reserve Bank of Minneapolis.
- Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, sunspots, and automatic stabilizers," Working Paper Series, Macroeconomic Issues, Federal Reserve Bank of Chicago WP-96-16, Federal Reserve Bank of Chicago.
- Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, Sunspots, and Automatic Stabilizers," NBER Working Papers 5703, National Bureau of Economic Research, Inc.
- Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, Elsevier, vol. 41(1), pages 68-95, February.
- Samwick, Andrew A., 1998.
"Discount rate heterogeneity and social security reform,"
Journal of Development Economics, Elsevier,
Elsevier, vol. 57(1), pages 117-146, October.
- Andrew A. Samwick, 1997. "Discount Rate Heterogeneity and Social Security Reform," NBER Working Papers 6219, National Bureau of Economic Research, Inc.
- Lawrance, Emily C, 1991. "Poverty and the Rate of Time Preference: Evidence from Panel Data," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 99(1), pages 54-77, February.
- Jerry A. Hausman, 1979. "Individual Discount Rates and the Purchase and Utilization of Energy-Using Durables," Bell Journal of Economics, The RAND Corporation, The RAND Corporation, vol. 10(1), pages 33-54, Spring.
- Cellarier, Laurent, 2006. "Constant gain learning and business cycles," Journal of Macroeconomics, Elsevier, Elsevier, vol. 28(1), pages 51-85, March.
- Boldrin, Michele & Nishimura, Kazuo & Shigoka, Tadashi & Yano, Makoto, 2001. "Chaotic Equilibrium Dynamics in Endogenous Growth Models," Journal of Economic Theory, Elsevier, Elsevier, vol. 96(1-2), pages 97-132, January.
- Jang-Ting Guo & Kevin Lansing, 1999.
"Fiscal policy, increasing returns, and endogenous fluctuations,"
Working Papers in Applied Economic Theory, Federal Reserve Bank of San Francisco
99-08, Federal Reserve Bank of San Francisco.
- Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, Cambridge University Press, vol. 6(05), pages 633-664, November.
- Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 30(12), pages 2671-2692, December.
- Nishimura, Kazuo & Yano, Makoto, 1995. "Nonlinear Dynamics and Chaos in Optimal Growth: An Example," Econometrica, Econometric Society, Econometric Society, vol. 63(4), pages 981-1001, July.
- Yves Balasko & Christian Ghiglino, 1993. "The Existence of Endogenous Cycles," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva, Institut d'Economie et EconomÃ©trie, UniversitÃ© de GenÃ¨ve 93.03, Institut d'Economie et Econométrie, Université de Genève.
- Drugeon, Jean-Pierre, 1996. "Impatience and long-run growth," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 20(1-3), pages 281-313.
- Nishimura, Kazuo & Sorger, Gerhard & Yano, Makoto, 1994. "Ergodic Chaos in Optimal Growth Models with Low Discount Rates," Economic Theory, Springer, Springer, vol. 4(5), pages 705-17, August.
- Balasko Yves & Ghiglino Christian, 1995.
"On the Existence of Endogenous Cycles,"
Journal of Economic Theory, Elsevier,
Elsevier, vol. 67(2), pages 566-577, December.
- Yves Balasko & Christian Ghiglino, . "On The Existence Of Endogenous Cycles," Preprints, Theory and Mathematics of the Economy and the Society _001, Theory and Mathematics of the Economy and the Society.
- repec:cup:macdyn:v:6:y:2002:i:5:p:633-64 is not listed on IDEAS
- Jean-Pierre Drugeon, 1998. "A model with endogenously determined cycles, discounting and growth," Economic Theory, Springer, Springer, vol. 12(2), pages 349-369.
- 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, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 205-24, February.
- Becker, Gary S & Mulligan, Casey B, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 112(3), pages 729-58, August.
- Mauro Sodini, 2011. "Local and Global Dynamics in an Overlapping Generations Model with Endogenous Time Discounting," Computational Economics, Society for Computational Economics, Society for Computational Economics, vol. 38(3), pages 277-293, October.
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