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Competitive Growth in a Life-cycle Model: Existence and Dynamics

Author

Listed:
  • D'ALBIS Hippolyte

    (LERNA, TSE)

  • AUGERAUD-VERON Emmannuelle

Abstract

The dynamic behavior of the capital growth rate is analyzed using an overlapping-generations model with continuous trading. Assuming a technology satisfying constant social returns to capital, the equilibrium growth rate is piecewise-defined by functional differential equations with both delayed and advanced terms. The main result concerns the existence of a solution expressed as a series of exponentials, which is shown to crucially depend on the initial wealth distribution among cohorts. Upon existence, the dynamics of the capital growth rate has a saddle-point trajectory that converges to a unique steady state. Along the transition path, the growth rate exhibits exponentially decreasing oscillations.
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Suggested Citation

  • D'ALBIS Hippolyte & AUGERAUD-VERON Emmannuelle, 2007. "Competitive Growth in a Life-cycle Model: Existence and Dynamics," LERNA Working Papers 07.19.240, LERNA, University of Toulouse.
  • Handle: RePEc:ler:wpaper:07.19.240
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    File URL: http://www2.toulouse.inra.fr/lerna/travaux/cahiers2007/07.19.240.pdf
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    References listed on IDEAS

    as
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    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.
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    Cited by:

    1. Augeraud-Véron, Emmanuelle & D'Albis, Hippolyte, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
    2. repec:bla:reviec:v:25:y:2017:i:1:p:44-75 is not listed on IDEAS
    3. d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
    4. Hippolyte d'Albis & Emmanuelle Augeraud-Véron, 2013. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 85-100, March.
    5. Michael Kuhn & Klaus Prettner, 2015. "Population Structure and Consumption Growth: Evidence from National Transfer Accounts," VID Working Papers 1503, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    6. Brito, Paulo, 2014. "Interest rates and endogenous population growth: joint age-dependent dynamics," MPRA Paper 58656, University Library of Munich, Germany.
    7. repec:hal:journl:halshs-00717198 is not listed on IDEAS
    8. Jean-François Mertens & Anna Rubinchik, 2013. "Equilibria in an overlapping generations model with transfer policies and exogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 537-595, November.
    9. Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
    10. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    11. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2015. "Local determinacy of prices in an overlapping generations model with continuous trading," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 16-24.
    12. Jochen Mierau & Stephen Turnovsky, 2014. "Capital accumulation and the sources of demographic change," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(3), pages 857-894, July.
    13. repec:spr:jopoec:v:31:y:2018:i:1:d:10.1007_s00148-017-0654-z is not listed on IDEAS
    14. Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
    15. repec:hal:journl:halshs-00717158 is not listed on IDEAS
    16. Mertens, Jean-Francois & Rubinchik, Anna, "undated". "Regularity And Stability Of Equilibria In An Overlapping Generations Growth Model," Working Papers WP2014/2, University of Haifa, Department of Economics.
    17. Jochen Mierau & Stephen Turnovsky, 2014. "Demography, growth, and inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 29-68, January.

    More about this item

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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