IDEAS home Printed from https://ideas.repec.org/a/prs/caecpo/cep_0154-8344_1987_num_13_1_1043.html
   My bibliography  Save this article

Les forces accidentelles dans un processus smithien de gravitation : une saisie par un modèle probabiliste

Author

Listed:
  • Reiner Franke

Abstract

[fre] Notre point de départ est un processus dynamique qui formalise, de façon stylisée, le concept smithien de gravitation des prix de marché autour du prix naturel. Pour tenir compte du désordre concurrentiel, des «perturbations» aléatoires sont alors introduites. Dans l'esprit des Classiques, cette construction conduit à des mouvements quasiment erratiques à court terme. Certaines tendances à long terme s'en dégagent néanmoins, que nous étudions en introduisant une nouvelle notion d'équilibre au sens probabiliste et en étudiant sa stabilité. Cette discussion est ici illustrée par l'étude d'un exemple simple. [eng] The paper starts out from a dynamical process which, in a stylized manner, models the Smithian concept of the gravitation of market prices towards the natural price. In order to capture competitive disorder, stochastic «perturbations» are introduced. In the spirit of the classics, this construction leads to nearly erratic movements in the short- term. It nevertheless exhibits certain long-run tendencies, which are studied by means of a new, that is, probabilistic notion of equilibrium and its stability. All discussion is within the context of a simple numerical example.

Suggested Citation

  • Reiner Franke, 1987. "Les forces accidentelles dans un processus smithien de gravitation : une saisie par un modèle probabiliste," Cahiers d'Économie Politique, Programme National Persée, vol. 13(1), pages 73-89.
    • Handle: RePEc:prs:caecpo:cep_0154-8344_1987_num_13_1_1043
    DOI: 10.3406/cep.1987.1043
    Note: DOI:10.3406/cep.1987.1043
    as

    Download full text from publisher

    File URL: https://doi.org/10.3406/cep.1987.1043
    Download Restriction: no
    File URL: https://www.persee.fr/doc/cep_0154-8344_1987_num_13_1_1043
    Download Restriction: no
    File URL: https://libkey.io/10.3406/cep.1987.1043?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
    ---><---

    References listed on IDEAS

    as
    1. Blume, Lawrence E, 1979. "The Ergodic Behavior of Stochastic Processes of Economic Equilibria," Econometrica, Econometric Society, vol. 47(6), pages 1421-1432, November.
    2. Green, Jerry R & Majumdar, Mukul, 1975. "The Nature of Stochastic Equilibria," Econometrica, Econometric Society, vol. 43(4), pages 647-660, July.
    3. Richard Arena, 1979. "Note sur la conception classique de la concurrence," Cahiers d'Économie Politique, Programme National Persée, vol. 5(1), pages 119-148.
    4. Futia, Carl A, 1982. "Invariant Distributions and the Limiting Behavior of Markovian Economic Models," Econometrica, Econometric Society, vol. 50(2), pages 377-408, March.
    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. Michel Rosier, 1992. "Déviations temporaires et permanentes des prix de marché dans la richesse des nations," Cahiers d'Économie Politique, Programme National Persée, vol. 20(1), pages 231-258.

    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. Stachurski, John, 2002. "Stochastic Optimal Growth with Unbounded Shock," Journal of Economic Theory, Elsevier, vol. 106(1), pages 40-65, September.
    2. Stachurski, J., 2001. "Log-Linearization of Perturbed Dynamical Systems, With Applications to Optimal Growth," Department of Economics - Working Papers Series 788, The University of Melbourne.
    3. John Stachurski & Cuong Le Van, 2004. "Parametric continuity of stationary distributions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03331313, HAL.
    4. Eugenio S. A. Bobenrieth & Juan R. A. Bobenrieth & Brian D. Wright, 2014. "Bubble Troubles? Rational Storage, Mean Reversion, and Runs in Commodity Prices," NBER Chapters, in: The Economics of Food Price Volatility, pages 193-208, National Bureau of Economic Research, Inc.
    5. Kevin Reffett & Olivier Morand, 2008. "Isotone recursive methods for Stationary Markov Equilibra in OLG models with stochastic nonclassical production," 2008 Meeting Papers 470, Society for Economic Dynamics.
    6. Sjur Didrik Flåm & Alf Erling Risa, 2003. "Ability, Self-Confidence, and Search," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 159(3), pages 439-456, September.
    7. Hall, George & Rust, John, 2021. "Estimation of endogenously sampled time series: The case of commodity price speculation in the steel market," Journal of Econometrics, Elsevier, vol. 222(1), pages 219-243.
    8. Roger E. A. Farmer, 1991. "The Lucas Critique, Policy Invariance and Multiple Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 321-332.
    9. Durlauf, Steven N. & Quah, Danny T., 1999. "The new empirics of economic growth," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 4, pages 235-308, Elsevier.
    10. Flam, Sjur Didrik & Mirman, Leonard J., 1998. "Groping for optimal growth," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 191-207, September.
    11. Damián Pierri & Julián Martínez, 2020. "Accuracy in Recursive Minimal State Space Methods," Working Papers 147, Universidad de San Andres, Departamento de Economia, revised Aug 2020.
    12. Menudo, Jose M., 2011. "Market Stability in Adam Smith: Competitive Process and Institutions," MPRA Paper 15361, University Library of Munich, Germany.
    13. Kazuo Nishimura & John Stachurski, 2012. "Stability of Stochastic Optimal Growth Models: A New Approach," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 289-307, Springer.
    14. Leonard J. Mirman & Kevin Reffett & John Stachurski, 2005. "Some stability results for Markovian economic semigroups," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 57-72, March.
    15. Canning, David, 1992. "Average behavior in learning models," Journal of Economic Theory, Elsevier, vol. 57(2), pages 442-472, August.
    16. Cuong Van & John Stachurski, 2007. "Parametric continuity of stationary distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 333-348, November.
    17. Tapan Mitra & Luigi Montrucchio & Fabio Privileggi, 2003. "The nature of the steady state in models of optimal growth under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(1), pages 39-71, December.
    18. Neri Salvadori & Rodolfo Signorino, 2013. "The Classical Notion of Competition Revisited," History of Political Economy, Duke University Press, vol. 45(1), pages 149-175, Spring.
    19. 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.
    20. Quah, Danny, 2000. "Internet cluster emergence," European Economic Review, Elsevier, vol. 44(4-6), pages 1032-1044, May.

    More about this item

    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:prs:caecpo:cep_0154-8344_1987_num_13_1_1043. 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: Equipe PERSEE (email available below). General contact details of provider: https://www.persee.fr/collection/cep .

    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.