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Comparative statics in dynamic programming models with an application to job search

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  • Albrecht, James W.
  • Holmlund, Bertil
  • Lang, Harald

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

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 15 (1991)
Issue (Month): 4 (October)
Pages: 755-769

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Handle: RePEc:eee:dyncon:v:15:y:1991:i:4:p:755-769

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References

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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 601-20, 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. Gerard J. van den Berg & Aico van Vuuren, 2006. "The Effect of Search Frictions on Wages," Tinbergen Institute Discussion Papers 06-077/3, Tinbergen Institute.
  2. Gerard J. van den Berg & Aico van Vuuren, 2006. "The Effect of Search Frictions on Wages," Tinbergen Institute Discussion Papers 06-077/3, Tinbergen Institute.
  3. 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.
  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. Berg, G.J., 1993. "Wage dispersion and mobility," Serie Research Memoranda 0016, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  6. 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.
  7. 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.
  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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