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The Hicksian floor–roof model for two regions linked by interregional trade
Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine.
Umeå University, Faculty of Social Sciences, Centre for Regional Science (CERUM).
Facoltà di Economia, Università degli Studi di Urbino, Urbino, Italy.
2003 (English)In: Chaos, Solitons & Fractals, ISSN 0960-0779, E-ISSN 1873-2887, Vol. 18, no 3, 593-612 p.Article in journal (Refereed) Published
Abstract [en]

The Hicksian multiplier–accelerator model with the original floor–roof limits to investments is studied for the case of two regions linked by interregional trade. The result is a piecewise linear continuous four dimensional map, which is reduced to three dimensions through the choice of an appropriate distributed consumption lag. The attractors, basins, and bifurcations of the map are studied under the assumption of a certain symmetry between the regions. The Neimark–Hopf bifurcation for piecewise linear maps is described in detail which gives rise to the appearance of an attracting closed invariant curve homeomorphic to a circle. The structure of resonance regions in the parameter space are investigated.

Place, publisher, year, edition, pages
2003. Vol. 18, no 3, 593-612 p.
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URN: urn:nbn:se:umu:diva-100252OAI: diva2:790930
Available from: 2015-02-26 Created: 2015-02-26 Last updated: 2015-02-26

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