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Towards Applied Disequilibrium Growth Theory: IV Numerical Investigations of the Core 18D Model

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In this paper we investigate, from the numerical perspective, the 18D core dynamics of a theoretical 39D representation of an applied disequilibium model of monetary growth of a small open economy. After considering the model from the viewpoint of national accounting, we provide a compact description of the intensive form of the model, its laws of motion and accompanying algebraic expressions and its unique interior steady state solution. We then give a survey of various types of subsystems that can be decomposed from the integrated 18D dynamics by means of suitable assumptions and also survey the feedback channels that can typically be found in these decomposed or re-integrated model types. These subsystems and their partial or full integration are investigated and compared in the remainder of the paper from the perspective of bifurcation diagrams that separate situations of asymptotic stability from stable cyclical behavior as well as pure explosiveness. In this way we lay the foundations for future extensions of the paper, which will show, in contract to what is generally believed to characterize structural macroeconomic models, that applied integrated macrodynamical systems can have a variety of interesting attractors and transients to them. Such attractors are obtained in particular when locally explosive situations are turned into bounded dynamics by the addition of specifically tailored extrinsic nonliearities.

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  • Carl Chiarella & Peter Flaschel & Peiyuan Zhu, 2003. "Towards Applied Disequilibrium Growth Theory: IV Numerical Investigations of the Core 18D Model," Working Paper Series 96, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    • Handle: RePEc:uts:wpaper:96
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    File URL: http://www.finance.uts.edu.au/research/wpapers/wp96.pdf
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    References listed on IDEAS

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    1. Chiarella,Carl & Flaschel,Peter, 2011. "The Dynamics of Keynesian Monetary Growth," Cambridge Books, Cambridge University Press, number 9780521180184, January.
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    4. Carl Chiarella & Peter Flaschel & Gangolf Groh & Carsten Köper & Willi Semmler, 1999. "Towards Applied Disequilibrium Growth Theory: VII Intensive Form and Steady State Calculation in the Case of Substitution," Working Paper Series 99, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    5. Carl Chiarella & Peter Flaschel, 1999. "Towards Applied Disequilibrium Growth Theory: II Intensive Form and Steady State Analysis of the Model," Working Paper Series 94, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
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    8. Carl Chiarella & Peter Flaschel & Gangolf Groh & Carsten Köper & Willi Semmler, 1999. "Towards Applied Disequilibrium Growth Theory: VI Substitution, Money-Holdings, Wealth-Effects and Further Extensions," Working Paper Series 98, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
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    14. H. Rose, 1967. "On the Non-Linear Theory of the Employment Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 153-173.
    15. Carl Chiarella & Peter Flaschel, 1999. "Towards Applied Disequilibrium Growth Theory: I The Starting Model," Working Paper Series 93, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    16. Carl Chiarella & Peter Flaschel & Willi Semmler, 2000. "Price Flexibility and Debt Dynamics in a High Order AS-AD Model," Working Paper Series 109, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    17. Carl Chiarella & Peter Flaschel, 1999. "Towards Applied Disequilibrium Growth Theory: III Basic Partial Feedback Structures and Stability Issues," Working Paper Series 95, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    18. Bergstrom, A. R. & Nowman, K. B. & Wandasiewicz, S., 1994. "Monetary and fiscal policy in a second-order continuous time macroeconometric model of the United Kingdom," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 731-761.
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    1. Carl Chiarella & Peter Flaschel & Gangolf Groh & Carsten Köper & Willi Semmler, 1999. "Towards Applied Disequilibrium Growth Theory: VI Substitution, Money-Holdings, Wealth-Effects and Further Extensions," Working Paper Series 98, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    2. Carl Chiarella & Peter Flaschel & Willi Semmler, 2001. "The macrodynamics of debt deflation," Chapters, in: Riccardo Bellofiore & Piero Ferri (ed.), Financial Fragility and Investment in the Capitalist Economy, chapter 7, Edward Elgar Publishing.
    3. Carl Chiarella & Peter Flaschel & Gangolf Groh & Carsten Köper & Willi Semmler, 1999. "Towards Applied Disequilibrium Growth Theory: VII Intensive Form and Steady State Calculation in the Case of Substitution," Working Paper Series 99, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    4. Carl Chiarella & Peter Flaschel, 1999. "Towards Applied Disequilibrium Growth Theory: II Intensive Form and Steady State Analysis of the Model," Working Paper Series 94, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    5. Carl Chiarella & Peter Flaschel, 2003. "Towards Applied Disequilibrium Growth Theory: V Housing Investment Cycles, Private Debt Accumulation and Deflation," Working Paper Series 97, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    6. Carl Chiarella & Peter Flaschel, 1999. "Towards Applied Disequilibrium Growth Theory: I The Starting Model," Working Paper Series 93, Finance Discipline Group, UTS Business School, University of Technology, Sydney.

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    More about this item

    Keywords

    structural macroeconomic models; decompositions; re-integration; feedback channels; stability basins;
    All these keywords.

    JEL classification:

    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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