The Kaldor‐Kalecki business cycle model

A. Krawiec and M. Szydlowski

Annals of Operations Research, 1999, vol. 89, issue 0, 89-100

Abstract: The question of the determination of investment decisions and their links with economicactivity leads us to formulate a new business cycle model. It is based on the dynamic multiplierapproach and the distinction between investment and implementation. The study of thenonlinear behaviour of the Kaldor‐Kalecki model represented by the second‐order delaydifferential equations is presented. It is shown that the dynamics depends crucially on thetime‐delay parameter T ‐ the gestation time period of investment. We apply the Poincaré‐Andronov‐Hopf bifurcation theorem generalized for functional differential equations. Itallows us to predict the occurrence of a limit cycle bifurcation for the time‐delay parameterT=T bif . The dependence of T=T bif on the parameters of our model is discussed. As T is increased, the system bifurcates to limit cycle behaviour, then to multiply periodic andaperiodic cycles, and eventually tends towards chaotic behaviour. Our analysis of the dynamicsof the Kaldor‐Kalecki model gives us that the limit cycle behaviour is independent of theassumption of nonlinearity of the investment function. The limit cycle is created only due tothe time‐delay parameter via the Hopf bifurcation mechanism. We also show that for a smalltime‐delay parameter, the Kaldor‐Kalecki model assumes the form of the Liénard equation. Copyright Kluwer Academic Publishers 1999

Date: 1999
References: Add references at CitEc
Citations: View citations in EconPapers (16)

Downloads: (external link)
http://hdl.handle.net/10.1023/A:1018948328487 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:89:y:1999:i:0:p:89-100:10.1023/a:1018948328487

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1023/A:1018948328487

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().