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- Title
Nonlinear Kaldor model augmented with retardation and anticipation.
- Authors
Matsumoto, Akio; Szidarovszky, Ferenc
- Abstract
In this paper, we introduce the delayed-advanced Kaldorian business cycle model and consider how time-delay and time-advance affect economic fluctuations. Given the asymptotic stability of the original Kaldor model, we first show that an approximated Kaldor model by a Taylor series expansion can accurately describe the dynamics of the delayed Kaldor model. We also confirm that the delay has a destabilizing effect. When time-delay is replaced with time-advance, we have an advanced Kaldor model. Taking the advanced capital stock formulation, we derive the stability conditions and find that the time-advance has a stabilizing effect. Lastly, we examine these opposite-signed effects in a modified delayed-advanced model.
- Subjects
BUSINESS cycles; CAPITAL stock; TAYLOR'S series; NONLINEAR functions
- Publication
Annals of Operations Research, 2024, Vol 337, Issue 3, p937
- ISSN
0254-5330
- Publication type
Article
- DOI
10.1007/s10479-023-05415-1