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Controlling a distribution of heterogeneous agents

Author

Listed:
  • Galo Nuño

    (Banco de España)

  • Benjamin Moll

    (Princeton university)

Abstract

This paper analyzes the problem of a benevolent planner wishing to control a population of heterogeneous agents subject to idiosyncratic shocks. This is equivalent to a deterministic control problem in which the state variable is the cross-sectional distribution. We show how, in continuous time, this problem can be broken down into a dynamic programming equation plus the law of motion of the distribution, and we introduce a new numerical algorithm to solve it. As an application, we analyze the constrained-efficient allocation of an Aiyagari economy with a fat-tailed wealth distribution. We fi nd that the constrained-efficient allocation features more wealth inequality than the competitive equilibrium.

Suggested Citation

  • Galo Nuño & Benjamin Moll, 2015. "Controlling a distribution of heterogeneous agents," Working Papers 1533, Banco de España.
    • Handle: RePEc:bde:wpaper:1533
    as

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    File URL: http://www.bde.es/f/webbde/SES/Secciones/Publicaciones/PublicacionesSeriadas/DocumentosTrabajo/15/Fich/dt1533e.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Kolmogorov forward equation; wealth distribution; social welfare function; mean field control;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D3 - Microeconomics - - Distribution
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment

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