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Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks

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  • DAVILA, Julio
  • HONG, Jay H.
  • KRUSELL, Per
  • RIOS-RULL, José-Victor

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

  • DAVILA, Julio & HONG, Jay H. & KRUSELL, Per & RIOS-RULL, José-Victor, 2012. "Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks," LIDAM Reprints CORE 2463, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2463
    DOI: 10.3982/ECTA5989
    Note: In : Econometrica, 80(6), 2431-2467, 2012
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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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