Numerical analysis of a Kaleckian model with inflation-deflation expectations

dc.contributor.authorGrausová, Mária
dc.contributor.authorHužvár, Miroslav
dc.contributor.authorZimka, Rudolf
dc.date.accessioned2025-10-16T06:19:17Z
dc.date.available2025-10-16T06:19:17Z
dc.date.issued2025
dc.descriptionIn: Applications of mathematics and statistics in economics 2025 : book of abstracts. 1. vyd. Praha : Vysoká škola ekonomická, 2025. ISBN 978-80-245-2555-6. Pp. 15-15.
dc.description.abstractWe investigate a four-dimensional non-linear Kaleckian macroeconomic model built by Murakami and Asada that describes the developments of the rate of utilization, the wage share, the nominal rate of interest, and the expected rate of inflation. In the study of the system’s behaviour near equilibrium, we focus on model's parameters that ensure the satisfaction of Liu’s criterion and provide potential for Hopf bifurcations. The bifurcation equation of the model allows us to determine the nature of local dynamics with high precision, offering insights into the conditions under which business cycles may arise. These findings are illustrated with numerical simulations, using economically meaningful parameter values to visualize how their changes influence the system's evolution. We analyse in detail the relationship between two model’s parameters - the speed of revisions of inflation-deflation expectations, that is considered a bifurcation parameter, and the credibility of the inflation-targeting policy conducted by the monetary authority. The simulations highlight the economic relevance of the analysis.
dc.description.sponsorshipVEGA 1/0382/23 Dynamické modelovanie nelineárnych makroekonomických procesov
dc.identifier.isbn978-80-245-2555-6
dc.identifier.urihttps://repo.umb.sk/handle/123456789/905
dc.language.isoen
dc.publisherVysoká škola ekonomická : Praha
dc.rights© vydavateľ
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjecthospodárske cykly
dc.subjectbusiness cycles
dc.subjectKaleckého model
dc.subjectKaleckian model
dc.subjectHopfova bifurkácia
dc.subjecthospodárska stabilita
dc.titleNumerical analysis of a Kaleckian model with inflation-deflation expectations
dc.typeArticle
dc.typeinfo:eu-repo/semantics/article

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