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Ergodic Invariant Distributions for Non-optimal Dynamic Economics

Author

Listed:
  • Manuel S. Santos

    (Department of Economics, University of Miami)

  • Adrian Peralta-Alva

    (Research Department, Federal Reserve Bank of Saint Louis)

Abstract

In this paper we are concerned with the simulation of non-optimal dynamic economies. The equilibrium laws of motion of these economies cannot be characterized by the methods of dynamic programming and may not be described by continuous policy functions. We prove existence of an invariant distribution for the equilibrium law of motion, and establish some convergence and accuracy properties for the simulated moments. We obtain these results without resorting to artificial randomizations of the equilibrium correspondence or discretizations of the state space.

Suggested Citation

  • Manuel S. Santos & Adrian Peralta-Alva, 2012. "Ergodic Invariant Distributions for Non-optimal Dynamic Economics," Working Papers 2012-5, University of Miami, Department of Economics.
    • Handle: RePEc:mia:wpaper:2012-5
    as

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    File URL: https://www.herbert.miami.edu/_assets/files/repec/WP2012-05.pdf
    File Function: First version, 2012
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    References listed on IDEAS

    as
    1. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    2. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 53-82.
    3. Blume, Lawrence E., 1982. "New techniques for the study of stochastic equilibrium processes," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 61-70, January.
    4. Manuel S. Santos & Adrian Peralta-Alva, 2005. "Accuracy of Simulations for Stochastic Dynamic Models," Econometrica, Econometric Society, vol. 73(6), pages 1939-1976, November.
    5. Karl Schmedders, Felix Kubler, 2001. "Asset Pricing in Models with incomplete markets and default," Computing in Economics and Finance 2001 58, Society for Computational Economics.
    6. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, vol. 71(6), pages 1767-1793, November.
    7. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
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    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General

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