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

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  • 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
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    References listed on IDEAS

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    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. Futia, Carl A, 1982. "Invariant Distributions and the Limiting Behavior of Markovian Economic Models," Econometrica, Econometric Society, vol. 50(2), pages 377-408, March.
    3. Green, Jerry R & Majumdar, Mukul, 1975. "The Nature of Stochastic Equilibria," Econometrica, Econometric Society, vol. 43(4), pages 647-660, July.
    4. Richard Arena, 1979. "Note sur la conception classique de la concurrence," Cahiers d'Économie Politique, Programme National Persée, vol. 5(1), pages 119-148.
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    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.

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