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Sökning: swepub > Umeå universitet > Rapport > Puu Tönu 1936 > Gardini Laura

  • Resultat 1-4 av 4
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1.
  • Agliari, Anna, et al. (författare)
  • Global Bifurcations in Duopoly when the Cournot Point is Destabilized through a Subcritical Neimark Bifurcation
  • 2003
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • An adaptive oligopoly model, where the demand function is isoelastic and the competitors operate under constant marginal costs, is considered. The Cournot equilibrium point then loses stability through a subcritical Neimark bifurcation. The present paper focuses some global bifurcations, which precede the Neimark bifurcation, and produce other attractors which coexist with the still attractive Cournot fixed point.
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2.
  • Puu, Tönu, 1936-, et al. (författare)
  • A Hicksian Multiplier-Accelerator Model with Floor Determined by Capital Stock and Tongues of Periodicity in a Family of Two-dimensional Discontinuous Maps of Real Möbius Type
  • 2003
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • A Hicksian Multiplier-Accelerator Model This article reconsiders the Hicksian multiplier-accelerator model with the "floor" related to the depreciation on actual capital stock. Through the introduction of the capital variable a growth trend is created endogenously by the model itself, along with growth rate oscillations around it. The "ceiling" can be dispensed with altogether. As everything is growing in such a model, a variable transformation is introduced to the end of focusing relative dynamics of the income growth rate and the actual capital output ratio. Tongues of Periodicity in a Family of Two-dimensional Discontinuous Maps of Real Möbius Type In this paper we consider a two-dimensional piecewise-smooth discontinuous map representing the so-called "relative dynmics" of an Hicksian business cycle model. The main features of the dynamics occur in the parameter region in which no fixed points at finite distance exist, but we may have attracting cycles of any periods. The bifurcations associated with the periodicity tongues of the map are studied making use of the first return map on a suitable segment of the phase plane. The bifurcation curves bounding the periodicity tongues in the parameter plane are related with saddle-node and border-collision bifurcations of the first-return map. Moreover, the particular "sausages structure" of the bifurcation tongues is also explained.
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3.
  • Sushko, Irina, et al. (författare)
  • Business Cycles : The Hicksian Floor-Roof Model Revisited
  • 2002
  • 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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4.
  • Tramontana, Fabio, et al. (författare)
  • New properties of the Cournot duopoly with isoelastic demand and constant unit costs
  • 2010
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • The object of the work is to perform the global analysis of the Cournot duopoly model with isoelastic demand function and unit costs, presented in Puu (1991). The bifurcation of the unique Cournot fixed point is established, which is a resonant case of the Neimark-Shacker bifurcation. New properties associated with the introduction of horizontal branches are evidenced. These properties di¤er significantly when the constant value is zero or positive and small. The good behavior of the case with positive constant is proved, leading always to positive trajectories. Also when the Cournot fixed point is unstable, stable cycles of any period may exist.
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  • Resultat 1-4 av 4
Typ av publikation
Typ av innehåll
övrigt vetenskapligt/konstnärligt (4)
Författare/redaktör
Sushko, Irina (2)
Agliari, Anna (1)
Tramontana, Fabio (1)
Lärosäte
Språk
Engelska (4)
Forskningsämne (UKÄ/SCB)
Samhällsvetenskap (4)

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