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Numerical Simulation of Nonoptimal Dynamic Equilibrium Models

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  • Zhigang Feng

    (ISB, University of Zurich, and Department of Economics, University of Miami)

  • Jianjun Miao

    (Department of Economics, Boston University)

  • Adrian Peralta-Alva

    (Research Division, Federal Reserve Bank of Saint Louis)

  • Manuel S. Santos

    (Department of Economics, University of Miami)

Abstract

In this paper we present a recursive method for the computation of dynamic competitive equilibria in models with heterogeneous agents and market frictions. This method is based on a convergent operator over an expanded set of state variables. The fixed point of this operator defines the set of all Markovian equilibria. We study approximation properties of the operator as well as the convergence of the moments of simulated sample paths. We apply our numerical algorithm to two growth models, an overlapping generations economy with money, and an asset pricing model with financial frictions.

Suggested Citation

  • Zhigang Feng & Jianjun Miao & Adrian Peralta-Alva & Manuel S. Santos, "undated". "Numerical Simulation of Nonoptimal Dynamic Equilibrium Models," Boston University - Department of Economics - Working Papers Series wp2009-013, Boston University - Department of Economics.
    • Handle: RePEc:bos:wpaper:wp2009-013
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    6. Lilia Maliar & Serguei Maliar, 2016. "Ruling Out Multiplicity of Smooth Equilibria in Dynamic Games: A Hyperbolic Discounting Example," Dynamic Games and Applications, Springer, vol. 6(2), pages 243-261, June.
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    9. Yi Wen & Huabin Wu, 2011. "Dynamics of externalities: a second-order perspective," Review, Federal Reserve Bank of St. Louis, vol. 93(May), pages 187-206.
    10. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2012. "Stationary Markovian equilibrium in altruistic stochastic OLG models with limited commitment," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 115-132.
    11. Felix Kubler & Johannes Brumm, 2013. "Applying Negishi's method to stochastic models with overlapping generations," 2013 Meeting Papers 1352, Society for Economic Dynamics.
    12. Damián Pierri, 2023. "Simulations in Models with Heterogeneous Agents, Incomplete Markets and Aggregate Uncertainty," Working Papers 259, Red Nacional de Investigadores en Economía (RedNIE).
    13. Adrian Peralta-Alva & Manuel S. Santos, 2010. "Problems in the Numerical Simulation of Models with Heterogeneous Agents and Economic Distortions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 617-625, 04-05.
    14. Pierri Damian, 2024. "Accuracy in Recursive Minimal State Space Methods," Computational Economics, Springer;Society for Computational Economics, vol. 64(1), pages 263-305, July.
    15. Jaime McGovern & Olivier Morand & Kevin Reffett, 2013. "Computing minimal state space recursive equilibrium in OLG models with stochastic production," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 623-674, November.
    16. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2013. "A constructive geometrical approach to the uniqueness of Markov stationary equilibrium in stochastic games of intergenerational altruism," Journal of Economic Dynamics and Control, Elsevier, vol. 37(5), pages 1019-1039.
    17. Thomas Mertens, 2012. "Solving General Incomplete Market Models with Substantial Heterogeneity," 2012 Meeting Papers 1173, Society for Economic Dynamics.
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    More about this item

    Keywords

    Heterogeneous agents; taxes; externalities; financial frictions; competitive equilibrium; computation; simulation;
    All these keywords.

    JEL classification:

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

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