| 1. |
- Puu, Tönu, 1936-, et al.
(författare)
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A Business Cycle Model with Cubic Nonlinearity
- 2002
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- This paper deals with a simple multiplier-accelerator model of the business cycle, including a cubic nonlinearity. The corresponding two dimensional iterative map is represented in terms of its bifurcation diagram in parameter space. A number of bifurcation sequences for attractors and their basins are studied.
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| 2. |
- Puu, Tönu, 1936-, et al.
(författare)
-
Cournot Duopoly when the Competitors Operate under Capacity Constraints
- 2002
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- The paper considers Cournot duopoly where the competitors have capacity constraints. An isoelastic demand function, which always results when consumers maximise utility functions of the CobbDouglas type, is used. It has been demonstrated that isoelastic demand, combined with constant marginal costs, results in complex dynamics. The purpose of the present paper is to reconsider the case, using in stead cost functions with capacity limits. This is a point on which Edgeworth insisted as important. Comparisons between cases of few large and many small competitors cannot be made when firms have constant returns and hence are all infinitely large in potential.
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| 3. |
- Sushko, Irina, et al.
(författare)
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Business Cycles : The Hicksian Floor-Roof Model Revisited
- 2002
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- The Hicksian multiplieraccelerator model with the original floorroof 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 assumption of a certain symmetry between the regions. The NeimarkHopf 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.
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