IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v51y2014icp50-54.html
   My bibliography  Save this article

Equilibrium dynamics in a class of one-sector endogenous growth models with external habits: An application of special functions

Author

Listed:
  • Gómez, Manuel A.

Abstract

This paper analyzes the equilibrium dynamics in a class of one-sector endogenous growth models with external habits. Using an explicit solution expressed in terms of the Gauss hypergeometric function, we show that the levels of consumption, habits and capital may exhibit non-monotonic transition dynamics, even though their ratios converge monotonically. A numerical simulation illustrates this result.

Suggested Citation

  • Gómez, Manuel A., 2014. "Equilibrium dynamics in a class of one-sector endogenous growth models with external habits: An application of special functions," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 50-54.
    • Handle: RePEc:eee:mateco:v:51:y:2014:i:c:p:50-54
    DOI: 10.1016/j.jmateco.2014.03.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406814000408
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
    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. Carroll, Christopher D & Overland, Jody & Weil, David N, 1997. "Comparison Utility in a Growth Model," Journal of Economic Growth, Springer, vol. 2(4), pages 339-367, December.
    4. 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.
    5. Gomez, Manuel A., 2006. "Optimal consumption taxation in a model of endogenous growth with external habit formation," Economics Letters, Elsevier, vol. 93(3), pages 427-435, December.
    6. Been-Lon Chen, 2007. "Multiple BGPs in a Growth Model with Habit Persistence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(1), pages 25-48, February.
    7. Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen J. Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Journal of Economic Growth, Springer, vol. 9(1), pages 47-80, March.
    8. Jaime Alonso-Carrera & Jordi Caballé & Xavier Raurich, 2006. "Welfare Implications Of The Interaction Between Habits And Consumption Externalities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 557-571, May.
    9. Boucekkine, R. & Ruiz-Tamarit, J.R., 2008. "Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 33-54, January.
    10. Hiraguchi, Ryoji, 2009. "A note on the closed-form solution to the Lucas-Uzawa model with externality," Journal of Economic Dynamics and Control, Elsevier, vol. 33(10), pages 1757-1760, October.
    11. Guerrini, Luca, 2010. "Transitional dynamics in the Ramsey model with AK technology and logistic population change," Economics Letters, Elsevier, vol. 109(1), pages 17-19, October.
    12. Boucekkine, R. & Martínez, B. & Ruiz-Tamarit, J.R., 2013. "Growth vs. level effect of population change on economic development: An inspection into human-capital-related mechanisms," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 312-334.
    13. Mansoorian, Arman & Michelis, Leo, 2005. "Money, habits and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1267-1285, July.
    14. Guerrini, Luca, 2006. "The Solow-Swan model with a bounded population growth rate," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 14-21, February.
    15. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bambi, Mauro & Gozzi, Fausto, 2020. "Internal habits formation and optimality," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 165-172.
    2. Liutang Gong & Wei Wang, 2019. "Diverse Growth Patterns with External Habit Formation," Economics Bulletin, AccessEcon, vol. 39(2), pages 1418-1423.

    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:eee:mateco:v:51:y:2014:i:c:p:50-54. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Haili He). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.