Complicated dynamics of an interacting economic model
We study a N-dimensional dynamical system that presents interacting economic models, the so-called quantity setting oligopoly. Parameter regions of stability of the Nash equilibrium are obtained and the phase diagram for stability of the synchronized motion are investigated. We also consider the...
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| Date: | 2004 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2004
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/177009 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Complicated dynamics of an interacting economic model / O. Stepanenko, Y.L. Maistrenko, S. Yousefi // Нелінійні коливання. — 2004. — Т. 7, № 2. — С. 255-262. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We study a N-dimensional dynamical system that presents interacting economic models, the so-called
quantity setting oligopoly. Parameter regions of stability of the Nash equilibrium are obtained and the
phase diagram for stability of the synchronized motion are investigated.
We also consider the problem of cluster formation. In particular, the 2-cluster state is studied extensively. A locally stable Nash equilibrium and quasiperiodic motions are present in this state. The regions of
stability and the bifurcations of stable trajectories are investigated and corresponding bifurcation diagram
are obtained |
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