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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," Post-Print halshs-03238950, HAL.
  • Handle: RePEc:hal:journl: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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    1. Boucekkine, Raouf & Seegmuller, Thomas & Venditti, Alain, 2021. "Advances in growth and macroeconomic dynamics: In memory of Carine Nourry," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 1-6.

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