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Constrainted efficiency in the neoclassical growth model with uninsurable idiosyncratic skocks

Author

Listed:
  • Julio Davila

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain, 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)

  • J.H. Jong

    (University of Rochester [USA])

  • Per Krusell

    (CAERP - Centro Atlantico de Estudios Rios Perez, IIES - Institute for International Economic Studies, GU - Göteborgs Universitet = University of Gothenburg)

  • José-Victor Rios Rull

    (CAERP - Centro Atlantico de Estudios Rios Perez, University of Pennsylvania [Philadelphia])

Abstract

We investigate the welfare properties of the one-sector neoclassic growth model with uninsurable idiosyncratic shocks. We focus on the constrained efficiency notion of the general equilibrium literature, and we demonstrate constrained inefficiency for our model. We provide a characterization of constrained efficiency that uses the first-order condition of a constrained planner's problem that points to the margins of relevance for whether capital is too high or too low: the income composition of the (consumption) poor. We calibrate our benchmark model parameters governing idiosyncratic risks to the U.S. earnings and wealth distribution, and for this distribution the income of the poor is mainly composed of labor earnings. We compute the constrained-efficient allocations -including transition dynamics- for our model economy, and we conclude that the long-run capital stock in a laissez faire world is not only too low, but much too low. We also show that one can find parameterizations with different qualitative features: in one case, the steady-state capital stock is too high, and in another case no steady state exists
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Suggested Citation

  • Julio Davila & J.H. Jong & Per Krusell & José-Victor Rios Rull, 2012. "Constrainted efficiency in the neoclassical growth model with uninsurable idiosyncratic skocks," Post-Print halshs-00751900, HAL.
    • Handle: RePEc:hal:journl:halshs-00751900
    DOI: 10.3982/ECTA5989
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    Keywords

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    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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