IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/69906.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/69906/1/MPRA_paper_69906.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    10. Blundell-Wignall, Adrian & Browne, Frank & Tarditi, Alison, 1995. "Financial Liberalization and the Permanent Income Hypothesis," The Manchester School of Economic & Social Studies, University of Manchester, vol. 63(2), pages 125-144, June.
    11. 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.
    12. 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.
    13. Becker, Gary S, 1992. "Habits, Addictions, and Traditions," Kyklos, Wiley Blackwell, vol. 45(3), pages 327-345.
    14. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151.
    15. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861.
    16. 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.
    17. Gary S. Becker, 1992. "Habits, Addictions, and Traditions," Kyklos, Wiley Blackwell, vol. 45(3), pages 327-345, August.
    18. 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.
    19. de la Croix, David, 1996. "The dynamics of bequeathed tastes," Economics Letters, Elsevier, vol. 53(1), pages 89-96, October.
    20. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    21. 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.
    22. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Luciano Fanti & Luca Gori & Cristiana Mammana & Elisabetta Michetti, 2018. "A model of growth with inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 163-186, November.
    2. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    3. 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.
    4. Sanso, Marcos & Aisa, Rosa M., 2006. "Endogenous longevity, biological deterioration and economic growth," Journal of Health Economics, Elsevier, vol. 25(3), pages 555-578, May.
    5. Jordi Caballé & Ana I. Moro Egido, 2008. "The Effect of Aspirations, Habits, and Social Security on the Distribution of Wealth," ThE Papers 08/02, Department of Economic Theory and Economic History of the University of Granada..
    6. Luciano Fanti, 2012. "Habits, aspirations and endogenous fertility," Discussion Papers 2012/143, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    7. Jaime Alonso-Carrera & Jordi Caball?Author-Email: jordi.caballe@uab.es & Xavier Raurich, 2001. "Income Taxation with Habit Formation and Consumption Externalities," UFAE and IAE Working Papers 496.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    8. 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.
    9. de la Croix, David, 2001. "Growth dynamics and education spending: The role of inherited tastes and abilities," European Economic Review, Elsevier, vol. 45(8), pages 1415-1438, August.
    10. Alonso-Carrera, Jaime & Caballé, Jordi & Raurich, Xavier, 2008. "Estate taxes, consumption externalities, and altruism," Journal of Public Economics, Elsevier, vol. 92(7), pages 1751-1764, July.
    11. Park, Hyun, 2013. "Do habits generate endogenous fluctuations in a growing economy?," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 54-68.
    12. Chen, Been-Lon & Hsu, Mei, 2007. "Admiration is a source of indeterminacy," Economics Letters, Elsevier, vol. 95(1), pages 96-103, April.
    13. Allen, Jeffrey & Chakraborty, Shankha, 2018. "Aspirations, health and the cost of inequality," Journal of Economic Dynamics and Control, Elsevier, vol. 86(C), pages 144-164.
    14. Gori, Luca & Manfredi, Piero & Sodini, Mauro, 2021. "A Parsimonious Model Of Longevity, Fertility, Hiv Transmission And Development," Macroeconomic Dynamics, Cambridge University Press, vol. 25(5), pages 1155-1174, July.
    15. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    16. Kazuo Mino, 2008. "Growth And Bubbles With Consumption Externalities," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 33-53, March.
    17. Barnett, Richard C. & Bhattacharya, Joydeep, 2008. "Rejuveniles and growth," European Economic Review, Elsevier, vol. 52(6), pages 1055-1071, August.
    18. Gómez, Manuel A. & Monteiro, Goncalo, 2015. "Internal habits in an endogenous growth model with elastic labor supply," Economic Modelling, Elsevier, vol. 51(C), pages 583-595.
    19. 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.
    20. Ali Choudhary & Paul Levine, 2006. "The 24/7 Society and Multiple Habits," School of Economics Discussion Papers 0506, School of Economics, University of Surrey.

    More about this item

    Keywords

    Aspirations; Nonlinear dynamics; Overlapping generations; Bifurcations; Business cycles;
    All these keywords.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:69906. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.