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Local indeterminacy in two-sector overlapping generations models

Author

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  • Carine Nourry

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Alain Venditti

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we consider a two-sector two-periods overlapping generations model with inelastic labor, consumption in both periods of life and homothetic CES preferences. We assume in a first step that the consumption levels are gross substitutes and the consumption good is capital intensive. We prove that when dynamic efficiency holds, the occurrence of sunspot fluctuations requires low enough values for the sectoral elasticities of capital-labor substitution. On the contrary, under dynamic inefficiency, local indeterminacy may be obtained without any restriction on the input substitutability properties. Assuming in a second step that gross substitutability in consumption does not hold, we show that sunspot fluctuations arise under dynamic efficiency without any restriction on the sign of the capital intensity difference across sectors and provided the sectoral elasticities of capital-labor substitution admit intermediary values.

Suggested Citation

  • Carine Nourry & Alain Venditti, 2008. "Local indeterminacy in two-sector overlapping generations models," Working Papers halshs-00282832, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00282832
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00282832
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