Keynesian systems with rigidity and flexibility of prices and inflation–deflation expectations
Hiroki Murakami ()
Structural Change and Economic Dynamics, 2014, vol. 30, issue C, 68-85
Abstract:
In this paper, by utilizing the Poincaré–Bendixson theory and the Hopf bifurcation theory, we analyze both rigid-price and flexible-price nonlinear disequilibrium Keynesian macroeconomic systems, prove the existence of a persistent business cycle and derive the conditions for global asymptotic stability of the equilibrium. Consequently, we find that a Hopf bifurcation occurs for a lower value of the quantity adjustment parameter in the flexible-price system than in the rigid-price one and that inflation expectation effects may easily destabilize the economic system. Furthermore, we reveal that global asymptotic stability of the flexible-price system is unlikely to be achieved.
Keywords: Keynesian economics; Bifurcations; Business cycles; Nonlinear analysis (search for similar items in EconPapers)
JEL-codes: E12 E21 E22 E31 E32 E41 E44 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (12)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:streco:v:30:y:2014:i:c:p:68-85
DOI: 10.1016/j.strueco.2014.02.002
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