IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v15y1991i4p755-769.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Albrecht, James W. & Holmlund, Bertil & Lang, Harald, 1991. "Comparative statics in dynamic programming models with an application to job search," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 755-769, October.
    • Handle: RePEc:eee:dyncon:v:15:y:1991:i:4:p:755-769
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0165-1889(91)90043-Z
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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 601-620, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Kaas, Leo, 2023. "Block-recursive equilibria in heterogeneous-agent models," Journal of Economic Theory, Elsevier, vol. 212(C).
    8. 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, August.
    9. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tapan Mitra & Kazuo Nishimura, 2012. "Intertemporal Complementarity and Optimality: A Study of a Two-Dimensional Dynamical System," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 195-233, Springer.
    2. Cuong Le Van & Lisa Morhaim, 2006. "On optimal growth models when the discount factor is near 1 or equal to 1," Post-Print halshs-00096034, HAL.
    3. Brock, William A. & Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2014. "Optimal agglomerations in dynamic economics," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 1-15.
    4. Kamihigashi, Takashi, 1999. "Chaotic dynamics in quasi-static systems: theory and applications1," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 183-214, March.
    5. Mitra, Tapan & Nishimura, Kazuo, 2001. "Discounting and Long-Run Behavior: Global Bifurcation Analysis of a Family of Dynamical Systems," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 256-293, January.
    6. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June.
    7. Jafarey, Saqib & Park, Hyun, 1998. "The dynamics of optimal wealth distributions with recursive utility," Economics Letters, Elsevier, vol. 61(2), pages 149-158, November.
    8. Manjira Datta & Leonard Mirman & Olivier Morand & Kevin Reffett, 2002. "Monotone Methods for Markovian Equilibrium in Dynamic Economies," Annals of Operations Research, Springer, vol. 114(1), pages 117-144, August.
    9. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    10. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
    11. Manjira Datta & Leonard Mirman & Olivier F. Morand & Kevin Reffett, 2001. "Monotone Methods for Distorted Economies," Working papers 2001-03, University of Connecticut, Department of Economics.
    12. Montrucchio, Luigi & Sorger, Gerhard, 1996. "Topological entropy of policy functions in concave dynamic optimization models," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 181-194.
    13. LaFrance, Jeffrey T., 1992. "Do Increased Commodity Prices Lead To More Or Less Soil Degradation?," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 36(1), pages 1-26, April.
    14. Dai, Darong, 2011. "Stochastic Versions of Turnpike Theorems in the Sense of Uniform Topology," MPRA Paper 40216, University Library of Munich, Germany.
    15. Gerlagh, Reyer & Keyzer, Michiel A., 2004. "Path-dependence in a Ramsey model with resource amenities and limited regeneration," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1159-1184, March.
    16. Gorokhovsky, Alexander & Rubinchik, Anna, 2022. "Necessary and sufficient conditions for determinacy of asymptotically stationary equilibria in OLG models," Journal of Economic Theory, Elsevier, vol. 204(C).
    17. Tapan Mitra, 2005. "Characterization of the turnpike property of optimal paths in the aggregative model of intertemporal allocation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(4), pages 247-275, December.
    18. Santos, Manuel S., 2004. "Simulation-based estimation of dynamic models with continuous equilibrium solutions," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 465-491, June.
    19. Darong Dai, 2012. "Stochastic Versions of Turnpike Theorems in the Sense of Uniform Topology," Annals of Economics and Finance, Society for AEF, vol. 13(2), pages 381-423, November.
    20. Andrew Clausen & Carlo Strub, 2012. "Envelope theorems for non-smooth and non-concave optimization," ECON - Working Papers 062, Department of Economics - University of Zurich.

    More about this item

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:15:y:1991:i:4:p:755-769. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.