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On the Change of Periodicities in the Hicksian Multiplier-Accelerator Model with a Consumption Floor
Umeå University, Faculty of Social Sciences, Centre for Regional Science (CERUM).
Department of Economics, University of Urbino, Italy.
Institute of Mathematics, National Academy of Sciences of Ukraine, Ukraine.
2006 (English)In: Chaos, Solitons & Fractals, ISSN 0960-0779, Vol. 29, no 3, 681-696 p.Article in journal (Other academic) Published
Abstract [en]

The Hicksian multiplier-accelerator model with “floor” and “ceiling” continues to be the most successful machine generating business cycles. This is, no doubt, due to its capability of explaining both downturn and upswing through one single model. The “ceiling” is due to a full employment constraint, whereas the “floor” is due to a limit to disinvestment when no worn out capital at all is replaced. However, another “floor” to consumption at zero level seems never to have been discussed. Hence, net disinvestments, even if they are bounded downwards, may also give rise to negative consumption, which is absurd. As we will show, the effect of an additional constraint to avoid this is easy to analyze, and results in a change of the periodicities according to a simple rule.

Place, publisher, year, edition, pages
2006. Vol. 29, no 3, 681-696 p.
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URN: urn:nbn:se:umu:diva-13760DOI: 10.1016/j.chaos.2005.08.099OAI: diva2:153431
Proceedings Paper, International Workshop on Dynamic Modelling in Economics and Finance Univ Urbino, Urbino, ITALY, SEP 16-18, 2004 Available from: 2007-05-15 Created: 2007-05-15Bibliographically approved

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