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Coupled Dynamics in the Phillips Machine Model of the Macroeconomy

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  • Stefano Zambelli

Abstract

In this paper it is claimed that the Phillips machine is a nonlinear mechanism. Phillips (1950) presented his machine as being described with a linear differential equation. In this paper it is claimed that the machine is better described with a system of nonlinear difference.-differential equations. This system itself is approximated by a set of nonlinear differential equations. This differential equations are of the Hicks-Goodwin flexible multiplier accelerator type. Consistently with this conjecture and following Phillips’ suggestion we have presented a ‘digital’ simulation of two coupled would-be Phillips machines.

Suggested Citation

  • Stefano Zambelli, 2010. "Coupled Dynamics in the Phillips Machine Model of the Macroeconomy," ASSRU Discussion Papers 1011, ASSRU - Algorithmic Social Science Research Unit.
  • Handle: RePEc:trn:utwpas:1011
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    File URL: http://www.assru.economia.unitn.it/files/DP11.pdf
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    References listed on IDEAS

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    1. Domenico Delli Gatti & Mauro Gallegati & Hyman P. Minsky, 1994. "Financial Institutions, Economic Policy, and the Dynamic Behavior of the Economy," Economics Working Paper Archive wp_126, Levy Economics Institute.
    2. Roger Sandilands, 2009. "Hawtreyan Credit Deadlock or Keynesian Liquidity Trap? Lessons for Japan from the Great Depression," Working Papers 0904, University of Strathclyde Business School, Department of Economics.
    3. Hyman P. Minsky, 1992. "The Financial Instability Hypothesis," Economics Working Paper Archive wp_74, Levy Economics Institute.
    4. K. Velupillai, 1988. "Some Swedish Stepping Stones to Modern Macroeconomics," Eastern Economic Journal, Eastern Economic Association, vol. 14(1), pages 87-98, Jan-Mar.
    5. Ferri, Piero & Minsky, Hyman P., 1992. "Market processes and thwarting systems," Structural Change and Economic Dynamics, Elsevier, vol. 3(1), pages 79-91, June.
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    Citations

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    Cited by:

    1. Stefano Zambelli, 2012. "Dynamical Coupling, Nonlinear Accelerator and the Persistence of Business Cycles," ASSRU Discussion Papers 1214, ASSRU - Algorithmic Social Science Research Unit.
    2. Katherine Moos & K. Vela Velupillai, 2014. "Stabilisation Policy -- Phillips before the `Phillips Curve'," ASSRU Discussion Papers 1402, ASSRU - Algorithmic Social Science Research Unit.

    More about this item

    Keywords

    computable economics; flexible-accelerator; coupled dynamical systems; Goodwin; Phillips machine; MONIAC;

    JEL classification:

    • A10 - General Economics and Teaching - - General Economics - - - General
    • B16 - Schools of Economic Thought and Methodology - - History of Economic Thought through 1925 - - - Quantitative and Mathematical
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • F44 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - International Business Cycles

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