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Plausibility of Indeterminacy and Complex Dynamics

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  • Stefano Bosi
  • Guido Cazzavillan
  • Francesco Magris

Abstract

We study a pure exchange economy with infinite-lived agents, in which a share of consumption purchases must be paid cash. The economy may exhibit multiple equilibria, no matter what the fundamental specification, the only requirement being a share of consumption to be paid cash sufficiently low. Complex dynamics, such as chaos and cycles of any periodicity, can emerge under gross substitutability, a condition usually known for eliminating such phenomena.

Suggested Citation

  • Stefano Bosi & Guido Cazzavillan & Francesco Magris, 2005. "Plausibility of Indeterminacy and Complex Dynamics," Annals of Economics and Statistics, GENES, issue 78, pages 103-115.
    • Handle: RePEc:adr:anecst:y:2005:i:78:p:103-115
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    References listed on IDEAS

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    1. Jean-Guillaume Sahuc, 2002. "Influence of Parameter Estimation Uncertainty on the European Central Banker Behavior: An Extension," Documents de recherche 02-18, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    2. Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
    3. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
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    Cited by:

    1. Le Riche, Antoine & Magris, Francesco & Parent, Antoine, 2017. "Liquidity Trap and stability of Taylor rules," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 16-27.
    2. Magris, Francesco & Onori, Daria, 2024. "Taylor and fiscal rules: When do they stabilize the economy?," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 68-89.
    3. Antoine Le Riche & Francesco Magris, 2016. "Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model," Economics Bulletin, AccessEcon, vol. 36(4), pages 2381-2393.
    4. Daria ONORI & Francesco MAGRIS & Antoine LE RICHE, 2017. "Monetary Rules in a Two-Sector Endogenous Growth Model with Cash-in-Advance Constraint," LEO Working Papers / DR LEO 2504, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.

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    More about this item

    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
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

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