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Dynamical Systems Arising from Infinite Time Horizon Optimization Models

Author

Listed:
  • Nishimura, K.
  • Venditti, A.

Abstract

We study cycles and chaos in economic models. Autonomous dynamical systems are considered through infinite time horizon optimization models. We first show how endogenous fluctuations arise in a multisector growth model. Secondly, we consider an extension of this model by allowing direct influences of the production activity among agents. This is what economists call external effects. We show how indeterminacy, i.e. a multiplicity of equilibrium paths from the same initial point, appears.

Suggested Citation

  • Nishimura, K. & Venditti, A., 2000. "Dynamical Systems Arising from Infinite Time Horizon Optimization Models," G.R.E.Q.A.M. 00c03, Universite Aix-Marseille III.
    • Handle: RePEc:fth:aixmeq:00c03
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    Cited by:

    1. Drugeon, Jean-Pierre, 2008. "On intersectoral asymmetries in factors substitutability, "Equilibrium Production Possibility Frontiers" and the emergence of indeterminacies," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 277-315, February.

    More about this item

    Keywords

    GROWTH MODELS ; EXTERNALITIES ; ECONOMIC MODELS;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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