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On equilibrium elasticities of substitution in simple overlapping generations economies with heterogeneous goods

Author

Listed:
  • Jean-Paul Barinci

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne - Université Paris-Saclay)

  • Hye-Jin Cho

    (Sciences Po - Sciences Po)

  • Jean-Pierre Drugeon

    (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 des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - 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 des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This contribution1 introduces a sectoral supply functions approach of equilibrium dynamics in the context of a simple model of overlapping generations with heterogeneous goods. The class of preferences that is here considered hinges upon an endogenous leisure motive and an elementary savings behaviour, that comes as a simpler alternative to the Diamond tradition in the benchmark contributions about the properties of overlapping generations economies with two industries. The presence of some institution making possible intergenerational transfers is shown to influence both the equilibrium aggregate factors shares and elasticity of substitution along a stationary equilibrium. Both Wealth-to-Capital and Golden Rule steady state equilibria being considered, the economies are categorised, either as Samuelsonian or classical, according to the sign of the transfers between generations at the Golden Rule steady state. The local stability properties of the various types of equilibria are successively investigated, the elasticities of substitution between the two inputs being emphasised to play a key-role for that purpose. Interestingly, the smoothing properties of factors substitution and their respective contribution to the obtention of the local uniqueness property may differ between the Samuelsonian and classical economies.

Suggested Citation

  • Jean-Paul Barinci & Hye-Jin Cho & Jean-Pierre Drugeon, 2021. "On equilibrium elasticities of substitution in simple overlapping generations economies with heterogeneous goods," SciencePo Working papers Main halshs-03238950, HAL.
    • Handle: RePEc:hal:spmain:halshs-03238950
    DOI: 10.1016/j.mathsocsci.2021.03.012
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03238950
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    References listed on IDEAS

    as
    1. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    2. Jean-Pierre Drugeon, 2010. "On "sectoral supply functions" and some critical roles for the consumptions and leisure arbitrages in the stability properties of a competitive equilibrium with heterogeneous goods," Post-Print hal-00650678, HAL.
    3. Cass, David & Okuno, Masahiro & Zilcha, Itzhak, 1979. "The role of money in supporting the pareto optimality of competitive equilibrium in consumption-loan type models," Journal of Economic Theory, Elsevier, vol. 20(1), pages 41-80, February.
    4. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    5. Drugeon, Jean-Pierre, 2010. "On "sectoral supply functions" and some critical roles for the consumptions and leisure arbitrages in the stability properties of a competitive equilibrium with heterogeneous goods," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1030-1063, November.
    6. Jean-Pierre Drugeon, 2010. "On "sectoral supply functions" and some critical roles for the consumptions and leisure arbitrages in the stability properties of a competitive equilibrium with heterogeneous goods," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00650678, HAL.
    7. Li, Jinlu & Lin, Shuanglin, 2008. "Existence and uniqueness of steady-state equilibrium in a two-sector overlapping generations model," Journal of Economic Theory, Elsevier, vol. 141(1), pages 255-275, July.
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