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Complex dynamics in an OLG model of growth with inherited tastes

Author

Listed:
  • Luciano, Fanti
  • Luca, Gori
  • Cristiana, Mammana
  • Elisabetta, Michetti

Abstract

The aim of this article is to study the local and global dynamics of a general equilibrium closed economy with overlapping generations and inherited tastes (aspirations). It shows that the interaction between the intensity of aspirations and the elasticity of substitution of effective consumption, affects the qualitative and quantitative long-term dynamics of the model. In addition, periodic cycles and complex features emerge. It remarkably extends the literature on endogenous fluctuations showing that: 1) in an OLG model with aspirations there exists a super-critical Neimark-Sacker bifurcation, 2) endogenous fluctuations occur even when the elasticity of substitution of effective consumption is smaller than one, thus reconciling the existence of economic cycles with empirical estimates, and 3) the interaction between aspirations and inter-temporal preferences affects the steady-state equilibrium and dynamic outcomes.

Suggested Citation

  • Luciano, Fanti & Luca, Gori & Cristiana, Mammana & Elisabetta, Michetti, 2016. "Complex dynamics in an OLG model of growth with inherited tastes," MPRA Paper 69906, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:69906
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    File URL: https://mpra.ub.uni-muenchen.de/69906/1/MPRA_paper_69906.pdf
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    References listed on IDEAS

    as
    1. Jaime Alonso-Carrera & Jordi Caballé & Xavier Raurich, 2007. "Aspirations, Habit Formation, and Bequest Motive," Economic Journal, Royal Economic Society, vol. 117(520), pages 813-836, April.
    2. Alonso-Carrera, Jaime & Caballe, Jordi & Raurich, Xavier, 2005. "Growth, habit formation, and catching-up with the Joneses," European Economic Review, Elsevier, vol. 49(6), pages 1665-1691, August.
    3. Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
    4. Croix, David de la & Michel, Philippe, 1999. "Optimal growth when tastes are inherited," Journal of Economic Dynamics and Control, Elsevier, vol. 23(4), pages 519-537, February.
    5. Alonso-Carrera, Jaime & Caballé, Jordi & Raurich, Xavier, 2008. "Can consumption spillovers be a source of equilibrium indeterminacy?," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2883-2902, September.
    6. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    7. Jaime Alonso-Carrera & Jordi Caballé & Xavier Raurich, 2004. "Consumption Externalities, Habit Formation and Equilibrium Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(2), pages 231-251, June.
    8. Michel, Philippe & de la Croix, David, 2000. "Myopic and perfect foresight in the OLG model," Economics Letters, Elsevier, vol. 67(1), pages 53-60, April.
    9. Lund, Jesper & Engsted, Tom, 1996. "GMM and present value tests of the C-CAPM: evidence from the Danish, German, Swedish and UK stock markets," Journal of International Money and Finance, Elsevier, vol. 15(4), pages 497-521, August.
    10. Gali, Jordi, 1994. "Keeping Up with the Joneses: Consumption Externalities, Portfolio Choice, and Asset Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(1), pages 1-8, February.
    11. Luciano Fanti & Luca Spataro, 2008. "Poverty traps and intergenerational transfers," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(6), pages 693-711, December.
    12. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    13. de la Croix, David, 1996. "The dynamics of bequeathed tastes," Economics Letters, Elsevier, vol. 53(1), pages 89-96, October.
    14. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    15. Chen, Hung-Ju & Li, Ming-Chia & Lin, Yung-Ju, 2008. "Chaotic dynamics in an overlapping generations model with myopic and adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 48-56, July.
    16. Becker, Gary S, 1992. "Habits, Addictions, and Traditions," Kyklos, Wiley Blackwell, vol. 45(3), pages 327-345.
    17. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
    18. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    19. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861, August.
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    More about this item

    Keywords

    Aspirations; Nonlinear dynamics; Overlapping generations; Bifurcations; Business cycles;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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