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Indeterminacy with Externalities and Capital Utilization

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  • Mohanad Ismael

    () (University of Evry Val d’Essonne, EPEE)

  • Francesco Magris

    () (University of Evry Val d’Essonne, EPEE)

Abstract

In this paper, we present a dynamic general equilibrium model with two sectors: one aggregate firm produces consumption good and a second one investment good. We assume sector specific as well as aggregate ex- ternalities. Moreover, we account for variable capital utilization i.e. the depreciation rate is endogenously determined by the degree of capital ex- ploitation. We show that under mild conditions, multiple equilibria occur. Indeed, following Grandmont, Pintus and de Vilder (JET, 1998), we can identify the necessary conditions for which the economic dynamics does change stability. In our framework, the capital utilization improves the imperfection in production sectors, resulted from the specific and aggre- gate externalities. We show that endogenous fluctuations are more likely to appear as long as the sensitivity of the capital utilization is su¢ ciently high with respect to the capital. Further, this is true for low value of elasticity of factor substitution.

Suggested Citation

  • Mohanad Ismael & Francesco Magris, 2008. "Indeterminacy with Externalities and Capital Utilization," Documents de recherche 08-14, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
  • Handle: RePEc:eve:wpaper:08-14
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Externalities; Variable capital utilization; Indeterminacy; Bifurcations;

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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