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Comparative Statics in Dynamic Programming Models with an Application to Job Search

Author

Listed:
  • Albrecht, James W.

    (Georgetown University)

  • Holmlund, Bertil

    (Uppsala University)

  • Lang, Harald

    (Research Institute of Industrial Economics (IFN))

Abstract

This paper presents a technique for qualitative comparative statics analysis in dynamic programming models. Let the value function v be the fixed point of a contraction mapping which depends differentially on some exogenous parameter theta. Then the derivative of v with respect to theta exists and is also the fixed point of a contraction mapping. Since this derivative is the fixed point of a contraction mapping its qualitative properties can be investigated using mathematical induction. This comparative statics methodology is illustrated with an application to a model of job search.

Suggested Citation

  • Albrecht, James W. & Holmlund, Bertil & Lang, Harald, 1986. "Comparative Statics in Dynamic Programming Models with an Application to Job Search," Working Paper Series 172, Research Institute of Industrial Economics, revised Aug 1991.
  • Handle: RePEc:hhs:iuiwop:0172
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    References listed on IDEAS

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    1. Araujo, A & Scheinkman, Jose A, 1977. "Smoothness, Comparative Dynamics, and the Turnpike Property," Econometrica, Econometric Society, vol. 45(3), pages 601-620, April.
    2. Sharma, Sunil, 1987. "On the existence and uniqueness of value functions in models of labor market dynamics," Economics Letters, Elsevier, vol. 24(4), pages 349-352.
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    Cited by:

    1. van den Berg, Gerard J. & van Vuuren, Aico, 2010. "The effect of search frictions on wages," Labour Economics, Elsevier, vol. 17(6), pages 875-885, December.
    2. Stefano DellaVigna & M. Daniele Paserman, 2005. "Job Search and Impatience," Journal of Labor Economics, University of Chicago Press, vol. 23(3), pages 527-588, July.
    3. Judd, Kenneth L., 1996. "Approximation, perturbation, and projection methods in economic analysis," Handbook of Computational Economics,in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 12, pages 509-585 Elsevier.
    4. van den Berg, Gerard J, 1995. "Wage dispersion and mobility," Economic Modelling, Elsevier, vol. 12(1), pages 15-27, January.
    5. Bassem Ben Halima & Mohamed Ali Ben Halima, 2009. "Time Preferences and Job Search: Evidence from France," LABOUR, CEIS, vol. 23(3), pages 535-558, September.
    6. van Ommeren, Jos & Rietveld, Piet & Nijkamp, Peter, 1997. "Commuting: In Search of Jobs and Residences," Journal of Urban Economics, Elsevier, vol. 42(3), pages 402-421, November.
    7. Jos van Ommeren & Gerard J. van den Berg & Cees Gorter, 2000. "Estimating the Marginal Willingness to Pay for Commuting," Journal of Regional Science, Wiley Blackwell, vol. 40(3), pages 541-563.
    8. Koning, Pierre & Berg, Gerard J. van den & Ridder, Geert, 1997. "A structural analysis of job search methods and subsequent wages," Serie Research Memoranda 0036, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

    More about this item

    Keywords

    Qualitative comparative statics analysis; dynamic programming; job search model;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • J60 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - General

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