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Parametric continuity of stationary distributions

Author

Listed:
  • Cuong Le Van

    () (CES - Centre d'économie de la Sorbonne - CNRS - Centre National de la Recherche Scientifique - UP1 - Université Panthéon-Sorbonne)

  • John Stachurski

    (Universite de Melbourne - University of Melbourne)

Abstract

For Markovian economic models, long-run equilibria are typically identified with the stationary (invariant) distributions generated by the model. In this paper weprovide new sufficient conditions for continuity in the map from parameters to these equilibria. Several existing results are shown to be special cases of our theorem.

Suggested Citation

  • Cuong Le Van & John Stachurski, 2007. "Parametric continuity of stationary distributions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101157, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00101157
    DOI: 10.1007/s00199-006-0144-0
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00101157
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    References listed on IDEAS

    as
    1. Mark Huggett, 2003. "When Are Comparative Dynamics Monotone?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 1-11, January.
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    7. Manuel S. Santos & Adrian Peralta-Alva, 2005. "Accuracy of Simulations for Stochastic Dynamic Models," Econometrica, Econometric Society, vol. 73(6), pages 1939-1976, November.
    8. Manuel S. Santos & Jesus Vigo-Aguiar, 1998. "Analysis of a Numerical Dynamic Programming Algorithm Applied to Economic Models," Econometrica, Econometric Society, vol. 66(2), pages 409-426, March.
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    11. repec:cup:macdyn:v:6:y:2002:i:4:p:457-75 is not listed on IDEAS
    12. Ricard Torres, 1990. "Stochastic Dominance," Discussion Papers 905, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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    Citations

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    Cited by:

    1. Stephane Verani & Till Gross, 2012. "Financing constraints, firm dynamics, and international trade," Finance and Economics Discussion Series 2012-68, Board of Governors of the Federal Reserve System (U.S.).
    2. Stephane Verani, 2018. "Aggregate Consequences of Dynamic Credit Relationships," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 44-67, July.
    3. repec:eee:jetheo:v:173:y:2018:i:c:p:18-55 is not listed on IDEAS
    4. Bobenrieth H., Eugenio S.A. & Bobenrieth H., Juan R.A. & Wright, Brian D., 2008. "A foundation for the solution of consumption-saving behavior with a borrowing constraint and unbounded marginal utility," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 695-708, March.
    5. Moritz Kuhn, 2013. "Recursive Equilibria In An Aiyagari‐Style Economy With Permanent Income Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 807-835, August.
    6. Stephane Verani, 2018. "Aggregate Consequences of Dynamic Credit Relationships," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 44-67, July.
    7. Olson, Lars J. & Roy, Santanu, 2005. "Theory of Stochastic Optimal Economic Growth," Working Papers 28601, University of Maryland, Department of Agricultural and Resource Economics.

    More about this item

    Keywords

    Markov processes; parametric continuity; stochastic dynamics;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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