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Stable, Unstable, and Persistent Cyclical Behaviour in a Keynes-Wicksell Monetary Growth Model

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  • Franke, Reiner

Abstract

This paper reconsiders the version of a Keynes-Wicksell model that was introduced in a textbook by T. Sargent (Macroeconomics). After giving a full and mathematically consistent formulation, local stability and instability of the steady state is characterized by different speeds of adjustment in the adaptive expectations of inflation. Subsequently, the Hopf bifurcation theorem is applied to prove existence of periodic orbits. The results are illustrated by means of computer simulations. It is shortly indicated that the model may contribute to a theory of sustained growth cycles. Copyright 1992 by Royal Economic Society.

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  • Franke, Reiner, 1992. "Stable, Unstable, and Persistent Cyclical Behaviour in a Keynes-Wicksell Monetary Growth Model," Oxford Economic Papers, Oxford University Press, vol. 44(2), pages 242-256, April.
    • Handle: RePEc:oup:oxecpp:v:44:y:1992:i:2:p:242-56
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    Cited by:

    1. Carl Chiarella & Peter Flaschel, 1995. "Keynesian Monetary Growth Dynamics: The Missing Prototype," Working Paper Series 52, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    2. Judd, Kenneth L., 1996. "Approximation, perturbation, and projection methods in economic analysis," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 12, pages 509-585, Elsevier.
    3. William, Barnett & Hu, Jingxian, 2017. "Capital Control, Exchange Rate Regime, and Monetary Policy: Indeterminacy and Bifurcation," MPRA Paper 81450, University Library of Munich, Germany.
    4. Flaschel, Peter & Sethi, Rajiv, 1996. "Classical dynamics in a general model of the Keynes-Wicksell type," Structural Change and Economic Dynamics, Elsevier, vol. 7(4), pages 401-428, December.
    5. Datta, Soumya, 2013. "Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems," MPRA Paper 50814, University Library of Munich, Germany.
    6. Rosser, J. Barkley & Rosser, Marina V., 2023. "The Bielefeld School of economics, Post Keynesian economics, and dynamic complexity," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 454-465.
    7. Ogawa, Shogo, 2022. "Monetary growth with disequilibrium: A non-Walrasian baseline model," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 512-528.

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