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Regular and chaotic growth in a Hicksian Floor/ceiling model

Sushko, Iryna (author)
Institute of Mathematics, National Academy of Sciences of Ukraine, and Kyiv School of Economics, Kiev, Ukraine
Gardini, Laura (author)
Department of Economics and Quantitative Methods, University of Urbino, Italy
Puu, Tönu, 1936- (author)
Umeå universitet,Centrum för regionalvetenskap (CERUM)
 (creator_code:org_t)
Elsevier, 2010
2010
English.
In: Journal of Economic Behavior and Organization. - : Elsevier. - 0167-2681 .- 1879-1751. ; 75:1, s. 77-94
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • In some previous papers the present authors reassembled the Hicksian trade cycle model in a new way. The floor was tied to depreciation on capital, itself the cumulative sum of past net investments, for which the principle of acceleration provided an explanation. Hence no alien elements were needed to include capital, and so close the system. The resulting model created a growth trend along with growth rate cycles, which could be periodic or quasiperiodic. In the current paper, the ceiling, using capital stock as a capacity limit for production, is added. It then turns out that pure growth no longer exists, and chaos and multistability become possible, which they were not in the previous model. A variety of bifurcation scenarios is explored, and a full understanding of the working of the four-piece, originally three-dimensional, piecewise smooth map, is attained, using a reduction to a one-dimensional return map.

Subject headings

SAMHÄLLSVETENSKAP  -- Ekonomi och näringsliv -- Nationalekonomi (hsv//swe)
SOCIAL SCIENCES  -- Economics and Business -- Economics (hsv//eng)

Keyword

Hicksian model
Economics
Nationalekonomi

Publication and Content Type

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Sushko, Iryna
Gardini, Laura
Puu, Tönu, 1936-
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SOCIAL SCIENCES
SOCIAL SCIENCES
and Economics and Bu ...
and Economics
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Umeå University

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