IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i15p3921-3930.html
   My bibliography  Save this article

Stability analysis of an implicitly defined labor market model

Author

Listed:
  • Mendes, Diana A.
  • Mendes, Vivaldo M.

Abstract

Until very recently, the pervasive existence of models exhibiting well-defined backward dynamics but ill-defined forward dynamics in economics and finance has apparently posed no serious obstacles to the analysis of their dynamics and stability, despite the problems that may arise from possible erroneous conclusions regarding theoretical considerations and policy prescriptions from such models. A large number of papers have dealt with this problem in the past by assuming the existence of symmetry between forward and backward dynamics, even in the case when the map cannot be invertible either forward or backwards. However, this procedure has been seriously questioned over the last few years in a series of papers dealing with implicit difference equations and inverse limit spaces. This paper explores the search and matching labor market model developed by Bhattacharya and Bunzel [J. Bhattacharya, H. Bunzel, Chaotic Planning Solution in the Textbook Model of Equilibrium Labor Market Search and Matching, Mimeo, Iowa State University, 2002; J. Bhattacharya, H. Bunzel, Economics Bulletin 5 (19) (2003) 1–10], with the following objectives in mind: (i) to show that chaotic dynamics may still be present in the model for acceptable parameter values, (ii) to clarify some open questions related with the admissible dynamics in the forward looking setting, by providing a rigorous proof of the existence of cyclic and chaotic dynamics through the application of tools from symbolic dynamics and inverse limit theory.

Suggested Citation

  • Mendes, Diana A. & Mendes, Vivaldo M., 2008. "Stability analysis of an implicitly defined labor market model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3921-3930.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:15:p:3921-3930
    DOI: 10.1016/j.physa.2008.02.079
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108002598
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.02.079?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, January.
    2. John J. McCall, 1982. "The Economics of Information and Uncertainty," NBER Books, National Bureau of Economic Research, Inc, number mcca82-1, February.
    3. Kennedy, Judy & Stockman, David R. & Yorke, James A., 2008. "The inverse limits approach to chaos," Journal of Mathematical Economics, Elsevier, vol. 44(5-6), pages 423-444, April.
    4. David Stockman & Judy Kennedy, 2006. "Chaotic Equilibria in Models with Ill-Defined Forward Dynamics," Working Papers 06-03, University of Delaware, Department of Economics.
    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. Nika Lazaryan & Thomas A. Lubik, 2019. "Global dynamics in a search and matching model of the labor market," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 461-497, September.
    2. Nika Lazaryan & Thomas A. Lubik, 2017. "Global Dynamics in a Search and Matching Model of the Labor Market," Working Paper 17-12, Federal Reserve Bank of Richmond.

    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. Emilio Espino & Thomas Hintermaier, 2009. "Asset trading volume in a production economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 231-258, May.
    2. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
    3. Tan Wang & Tony S. Wirjanto, 2016. "Risk Aversion, Uncertainty, Unemployment Insurance Benefit and Duration of "Wait" Unemployment," Annals of Economics and Finance, Society for AEF, vol. 17(1), pages 1-34, May.
    4. Andrés Carvajal, 2018. "Arbitrage pricing in non-Walrasian financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 951-978, December.
    5. Mohamed CHIKHI & Claude DIEBOLT, 2022. "Testing the weak form efficiency of the French ETF market with the LSTAR-ANLSTGARCH approach using a semiparametric estimation," Eastern Journal of European Studies, Centre for European Studies, Alexandru Ioan Cuza University, vol. 13, pages 228-253, June.
    6. Venditti, Alain, 1998. "Indeterminacy and endogenous fluctuations in two-sector growth models with externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 521-542, January.
    7. Kelly, David L. & Shorish, Jamsheed, 2000. "Stability of Functional Rational Expectations Equilibria," Journal of Economic Theory, Elsevier, vol. 95(2), pages 215-250, December.
    8. Yu Chen & Thomas Cosimano & Alex Himonas, 2008. "Solving an asset pricing model with hybrid internal and external habits, and autocorrelated Gaussian shocks," Annals of Finance, Springer, vol. 4(3), pages 305-344, July.
    9. Sornette, Didier & Johansen, Anders, 1998. "A hierarchical model of financial crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 581-598.
    10. William A. Brock & Blake LeBaron, 1990. "Liquidity Constraints in Production-Based Asset-Pricing Models," NBER Chapters, in: Asymmetric Information, Corporate Finance, and Investment, pages 231-256, National Bureau of Economic Research, Inc.
    11. Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
    12. Pissarides, Christopher & Mortensen, Dale T., 2001. "Taxes, Subsidies and Equilibrium Labour Market Outcomes," CEPR Discussion Papers 2989, C.E.P.R. Discussion Papers.
    13. Jeroen van den Bergh & John Gowdy, 2000. "Evolutionary Theories in Environmental and Resource Economics: Approaches and Applications," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 17(1), pages 37-57, September.
    14. Julia Hirsch & Uwe Walz, 2009. "Financing Decisions Along a Firm’s Life Cycle: Debt as a Commitment Device," Working Papers 0409, Universidad Iberoamericana, Department of Economics.
    15. Krishna Dayal Pandey & Tarak Nath Sahu, 2019. "Debt Financing, Agency Cost and Firm Performance: Evidence from India," Vision, , vol. 23(3), pages 267-274, September.
    16. William A. Barnett & Jingxian Hu, 2017. "Capital Control, Exchange Rate Regime, and Monetary Policy: Indeterminacy and Bifurcation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201706, University of Kansas, Department of Economics, revised Sep 2017.
    17. Andriy Zapechelnyuk & Ro’i Zultan, 2020. "Job search costs and incentives," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 181-202, October.
    18. Gauthier, Stephane, 2001. "Learning and the saddle point property," Economics Letters, Elsevier, vol. 73(3), pages 339-343, December.
    19. Vincent Anesi & Daniel J. Seidmann, 2009. "Optimal Delegation with a Finite Number of States," Discussion Papers 2009-20, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    20. De Palma, Francesco & Seegmuller, Thomas, 2004. "Unions, wage differential and indeterminacy," Research in Economics, Elsevier, vol. 58(3), pages 205-218, September.

    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:phsmap:v:387:y:2008:i:15:p:3921-3930. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.