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Heterogeneous triopoly game with isoelastic demand function

delete2011-09-27
delete48
PRE
AI
F
Fabio Tramontana *
E
Elsadany, Abd Elalim Abdo
DOI:10.1007/s11071-011-0215-zdelete
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Abstract

Abstract

En 中文
In this paper, we analyze a triopolistic market with heterogeneous firms when the demand function is isoelastic. We consider the same heterogeneous firms as Elabbasy et al. (Comput. Math. Appl. 57:488-499, 2009) introducing a nonlinearity in the demand function instead of the cost function. Stability conditions of the two equilibrium points and complex dynamics are studied. The main novelty consists of the double route to chaos, via period-doubling bifurcations and via Neimark-Sacker bifurcation. The two routes have important differences from the economic point of view.
Keywords:
Triopoly game
Nash equilibrium point
Heterogeneous firms
Isoelastic demand function

Journal

Nonlinear Dynamics cover
Nonlinear Dynamics
IF:
6
Papers:
1.4W
Citations:
4.1W

Organization

E
egyptian knowledge bank (ekb)
Scholars:
11.6W
Papers: 9.3W
Citations: 84
U
university of pavia
Scholars:
2.1W
Papers: 1.6W
Citations: 8