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

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  • 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.

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Bibliographic Info

Paper provided by Research Institute of Industrial Economics in its series Working Paper Series with number 172.

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Length: 21 pages
Date of creation: Dec 1986
Date of revision: Aug 1991
Handle: RePEc:hhs:iuiwop:0172

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

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References

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  1. 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.
  2. Araujo, A & Scheinkman, Jose A, 1977. "Smoothness, Comparative Dynamics, and the Turnpike Property," Econometrica, Econometric Society, vol. 45(3), pages 601-20, April.
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Citations

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Cited by:
  1. Gerard J. van den Berg & Aico van Vuuren, 2002. "The Effect of Search Frictions on Wages," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 C1-2, International Conferences on Panel Data.
  2. 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.
  3. repec:dgr:uvatin:2006077 is not listed on IDEAS
  4. 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.
  5. 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.
  6. Stefano DellaVigna & M. Daniele Paserman, 2004. "Job Search and Impatience," NBER Working Papers 10837, National Bureau of Economic Research, Inc.
  7. Berg, G.J., 1993. "Wage dispersion and mobility," Serie Research Memoranda 0016, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  8. 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.

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