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Local determinacy of prices in an overlapping generations model with continuous trading

Author

Listed:
  • Hippolyte d'Albis

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Emmanuelle Augeraud-Véron

    (MIA - Mathématiques, Image et Applications - ULR - La Rochelle Université)

  • Hermen Jan Hupkes

    (Mathematical institute - Universiteit Leiden = Leiden University)

Abstract

We characterize the determinacy properties of the intertemporal equilibrium for a continuous-time, pure-exchange, overlapping generations economy with logarithmic preferences. Using recent advances in the theory of functional differential equations, we show that the equilibrium is locally unique and that prices converge to a balanced growth path and are determined.

Suggested Citation

  • Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2015. "Local determinacy of prices in an overlapping generations model with continuous trading," PSE-Ecole d'économie de Paris (Postprint) hal-01175922, HAL.
    • Handle: RePEc:hal:pseptp:hal-01175922
    DOI: 10.1016/j.jmateco.2015.03.001
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    Cited by:

    1. Eugene Bravyi & Vladimir Maksimov & Pyotr Simonov, 2020. "Some Economic Dynamics Problems for Hybrid Models with Aftereffect," Mathematics, MDPI, vol. 8(10), pages 1-30, October.
    2. Shihong Zeng & Xinwei Zhang & Xiaowei Wang & Guowang Zeng, 2019. "Population Aging, Household Savings and Asset Prices: A Study Based on Urban Commercial Housing Prices," Sustainability, MDPI, vol. 11(11), pages 1-21, June.

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    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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