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Matching and Saving in Continuous Time: Proofs

Author

Listed:
  • Christian BAYER

    (Institute of Mathematics, TU Berlin)

  • Klaus WALDE

    (University of Mainz, CESifo and Université catholique de Louvain)

Abstract

This paper provides the proofs to the analysis of a continuous time matching model with saving in Bayer and Wälde (2010a). The paper proves the results on consumption growth, provides an existence proof for optimal consumption and a detailed derivation of the Fokker-Planck equations.

Suggested Citation

  • Christian BAYER & Klaus WALDE, 2010. "Matching and Saving in Continuous Time: Proofs," LIDAM Discussion Papers IRES 2010014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    • Handle: RePEc:ctl:louvir:2010014
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    File URL: http://sites.uclouvain.be/econ/DP/IRES/2010014.pdf
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    Citations

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    Cited by:

    1. Khieu, Hoang & Wälde, Klaus, 2023. "Capital income risk and the dynamics of the wealth distribution," Economic Modelling, Elsevier, vol. 122(C).
    2. Flórez, Luz A., 2017. "Informal sector under saving: A positive analysis of labour market policies," Labour Economics, Elsevier, vol. 44(C), pages 13-26.
    3. Donsimoni Jean Roch & Wälde Klaus & Glawion René & Plachter Bodo, 2020. "Projecting the spread of COVID-19 for Germany," German Economic Review, De Gruyter, vol. 21(2), pages 181-216, June.
    4. Matthias Birkner & Niklas Scheuer & Klaus Wälde, 2023. "The dynamics of Pareto distributed wealth in a small open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 607-644, August.
    5. Christian Bayer & Klaus Wälde, 2010. "Matching and Saving in Continuous Time: Theory," CESifo Working Paper Series 3026, CESifo.
    6. Bayer, Christian & Rendall, Alan D. & Wälde, Klaus, 2019. "The invariant distribution of wealth and employment status in a small open economy with precautionary savings," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 17-37.
    7. Jeremy Lise, 2013. "On-the-Job Search and Precautionary Savings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(3), pages 1086-1113.

    More about this item

    Keywords

    continuous time uncertainty; Fokker-Planck equations; existence proof;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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