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Problems in the Numerical Simulation of Models with Heterogeneous Agents and Economic Distortions

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Author Info

  • Adrian Peralta - Alva

    (Research Division, Federal Reserve Bank of Saint Louis)

  • Manuel S. Santos

    ()
    (Department of Economics, University of Miami)

Abstract

Our work has been concerned with the numerical simulation of dynamic economies with heterogeneous agents and economic distortions. Recent research has drawn attention to inherent difficulties in the computation of competitive equilibria for these economies: A continuous Markovian solution may fail to exist, and some commonly used numerical algorithms may not deliver accurate approximations. We consider a reliable algorithm set forth in Feng et al. (2009), and discuss problems related to the existence and computation of Markovian equilibria, as well as convergence and accuracy properties. We offer new insights into numerical simulation.

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Bibliographic Info

Paper provided by University of Miami, Department of Economics in its series Working Papers with number 2010-14.

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Length: 11 pages
Date of creation: 2009
Date of revision:
Publication status: Published
Handle: RePEc:mia:wpaper:2010-14

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Keywords: Heterogeneous agents; taxes; externalities; financial frictions; competitive equilibrium; computation; simulation.;

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References

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  1. 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.
  2. Manuel S. Santos & Adrian Peralta-Alva, 2003. "Accuracy Of Simulations For Stochastic Dynamic Models," Economics Working Papers we034615, Universidad Carlos III, Departamento de Economía.
  3. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
  4. Zhigang Feng & Jianjun Miao & Adrian Peralta-Alva & Manuel S. Santos, . "Numerical Simulation of Nonoptimal Dynamic Equilibrium Models," Boston University - Department of Economics - Working Papers Series wp2009-013, Boston University - Department of Economics.
  5. Per Krusell & Anthony A. Smith, Jr., . "Income and Wealth Heterogeneity in the Macroeconomy," GSIA Working Papers 1997-37, Carnegie Mellon University, Tepper School of Business.
  6. Kydland, Finn E. & Prescott, Edward C., 1980. "Dynamic optimal taxation, rational expectations and optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 79-91, May.
  7. Felix Kubler & Herakles Polemarchakis, 2004. "Stationary Markov equilibria for overlapping generations," Economic Theory, Springer, vol. 24(3), pages 623-643, October.
  8. Kubler, Felix & Schmedders, Karl, 2002. "Recursive Equilibria In Economies With Incomplete Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 6(02), pages 284-306, April.
  9. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-81, July.
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Citations

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Cited by:
  1. Pengfei Wang & Yi Wen, 2013. "Financial development and long-run volatility trends," Working Papers 2013-003, Federal Reserve Bank of St. Louis.
  2. José Cao-Alvira, 2012. "Velocity Volatility Assessment of Monetary Shocks on Cash-in-Advance Economies," Computational Economics, Society for Computational Economics, vol. 40(3), pages 293-311, October.
  3. 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.

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