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Cycles et chaos dans un modèle hétérodoxe de croissance endogène

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  • Frédéric Lordon

Abstract

[eng] The paper aims at applying to fluctuating growth a formal tool of chaotic dynamics, namely the Newhouse-Ruelle-Takens (NRT) route, which is much more powerful and general than the one-dimensional discrete time logistic usually considered in economic dynamics. As a first step a modified version of Goodwin's model is proposed. Including a profit-sharing wage component and a Kaldor-Verdoorn law of endogenous technical change, it may be viewed as a kind of heterodox model of endogenous growth. When the profit-sharing intensity is too low a limit-cycle arises. Considering then the previous model as representative of a sector, it is shown, in application of NRT theorem, that a three-sectors economy where the sectors are coupled by their labour markets, is driven into a chaotic dynamics. [fre] On se propose de donner une application à la croissance fluctuante d'un for­malisme du chaos - la route de Newhouse-Ruelle-Takens (NRT) - beaucoup plus puissant et général que la logistique unidimensionnelle discrète usuellement rete­nue en dynamique économique. On construit d'abord une version modifiée du modèle de Goodwin auquel on adjoint une loi de Kaldor-Verdoom de changement technique endogène - permettant incidemment de le réinterpréter comme un modèle hétérodoxe de croissance endogène - et une formule salariale de partage des profits. Lorsque l'intensité du terme salarial est trop faible, un cycle-limite apparaît. En réinterprétant ce modèle comme représentatif d'un secteur, on mon­tre alors que, en application du théorème NRT, une économie à trois secteurs cou­plés par leurs marchés du travail est entraînée dans une dynamique chaotique.

Suggested Citation

  • Frédéric Lordon, 1995. "Cycles et chaos dans un modèle hétérodoxe de croissance endogène," Revue Économique, Programme National Persée, vol. 46(6), pages 1405-1432.
  • Handle: RePEc:prs:reveco:reco_0035-2764_1995_num_46_6_409742
    DOI: 10.3406/reco.1995.409742
    Note: DOI:10.3406/reco.1995.409742
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    2. Alexander V. Ryzhenkov, 2022. "Increasing returns and business cycles in a family of Goodwinian models with Leontiev technology," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 11(1), pages 1-47, December.
    3. Giovanni Dosi & Mauro Sodini & Maria Virgillito, 2015. "Profit-driven and demand-driven investment growth and fluctuations in different accumulation regimes," Journal of Evolutionary Economics, Springer, vol. 25(4), pages 707-728, September.
    4. Pedro de Mendonça, 2013. "Nonlinear Phenomena in a Growing Economy with Convex Adjustment Costs," EERI Research Paper Series EERI RP 2013/05, Economics and Econometrics Research Institute (EERI), Brussels.
    5. A. J. Julius, 2005. "Steady‐State Growth And Distribution With An Endogenous Direction Of Technical Change," Metroeconomica, Wiley Blackwell, vol. 56(1), pages 101-125, February.

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