Endogenous oscillations in a discrete dynamic model with inventory

Endogenous oscillations in a discrete dynamic model with inventory

Introducing the producer's intertemporal optimizing behavior, we extend the Eckalbar Disequilibrium Macro-Model (1985) and reconsider the dynamic features of the modified model. We concern ourselves with the existence of inventory cycles when the expectations are formed adaptively. The endogeno...

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Bibliographic Details
Main Author: Akio Matsumoto
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Hopf bifurcation
Limit cycle
Stability index.
Online Access:http://dx.doi.org/10.1155/S1026022697000216
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spelling doaj-941dc7a7bb1a4a63954598b00f1772e02020-11-25T01:09:24ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X1997-01-011320321710.1155/S1026022697000216Endogenous oscillations in a discrete dynamic model with inventoryAkio Matsumoto0Niigata University, Department of Economics, 8050, 2-No-cho, Ikarashi, Niigata 950-21, JapanIntroducing the producer's intertemporal optimizing behavior, we extend the Eckalbar Disequilibrium Macro-Model (1985) and reconsider the dynamic features of the modified model. We concern ourselves with the existence of inventory cycles when the expectations are formed adaptively. The endogenous inventory cycle is detected using the Hopf bifurcation theorem in which a bifurcation parameter is an adaptive coefficient. It is also demonstrated that the generated cycle is subcritical.http://dx.doi.org/10.1155/S1026022697000216Hopf bifurcationLimit cycleStability index.
collection DOAJ
language English
format Article
sources DOAJ
author Akio Matsumoto
spellingShingle Akio Matsumoto
Endogenous oscillations in a discrete dynamic model with inventory
Discrete Dynamics in Nature and Society
Hopf bifurcation
Limit cycle
Stability index.
author_facet Akio Matsumoto
author_sort Akio Matsumoto
title Endogenous oscillations in a discrete dynamic model with inventory
title_short Endogenous oscillations in a discrete dynamic model with inventory
title_full Endogenous oscillations in a discrete dynamic model with inventory
title_fullStr Endogenous oscillations in a discrete dynamic model with inventory
title_full_unstemmed Endogenous oscillations in a discrete dynamic model with inventory
title_sort endogenous oscillations in a discrete dynamic model with inventory
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 1997-01-01
description Introducing the producer's intertemporal optimizing behavior, we extend the Eckalbar Disequilibrium Macro-Model (1985) and reconsider the dynamic features of the modified model. We concern ourselves with the existence of inventory cycles when the expectations are formed adaptively. The endogenous inventory cycle is detected using the Hopf bifurcation theorem in which a bifurcation parameter is an adaptive coefficient. It is also demonstrated that the generated cycle is subcritical.
topic Hopf bifurcation
Limit cycle
Stability index.
url http://dx.doi.org/10.1155/S1026022697000216
work_keys_str_mv AT akiomatsumoto endogenousoscillationsinadiscretedynamicmodelwithinventory
_version_ 1725179101789028352

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