Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks

Davila Muro, Julio;Hong, Jay H.;Krusell, Per;Rios-Rull, José-Victor
(2012) Econometrica — Vol. 80, n° 6, p. 2431-2467 (2012)

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Authors
  • Davila Muro, Julioorcid-logoUCLouvain
    Author
  • Hong, Jay H.University of Rochester
    Author
  • Krusell, PerUniversity of Gothenburg
    Author
  • Rios-Rull, José-VictorFederal Reserve Bank of Minneapolis
    Author
Abstract
We investigate the welfare properties of the one-sector neoclassical growth model with uninsurable idiosyncratic shocks. We focus on the notion of constrained efficiency used in the general equilibrium literature. Our characterization of constrained efficiency uses the first-order condition of a constrained planner’s problem. This condition highlights the margins of relevance for whether capital is too high or too low: the factor composition of income of the (consumption-) poor. Using three calibrations commonly considered in the literature, we illustrate that there can be either over- or underaccumulation of capital in steady state and that the constrained optimum may or may not be consistent with a nondegenerate long-run distribution of wealth. For the calibration that roughly matches the income and wealth distribution, the constrained inefficiency of the market outcome is rather striking: it has much too low a steady-state capital stock.
Affiliations
  • University of Rochester
  • University of Gothenburg
  • Federal Reserve Bank of Minneapolis

Citations

Davila Muro, J., Hong, J. H., Krusell, P., & Rios-Rull, J.-V. (2012). Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks. Econometrica, 80(6), 2431-2467. https://doi.org/10.3982/ECTA5989 (Original work published 2012)