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.

Tramontana, F., Elsadany, A., Heterogeneous triopoly game with isoelastic demand function, <<NONLINEAR DYNAMICS>>, 2012; 68 (1-2): 187-193. [doi:10.1007/s11071-011-0215-z] [http://hdl.handle.net/10807/67488]

Heterogeneous triopoly game with isoelastic demand function

Tramontana;
2012

Abstract

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.
Inglese
Tramontana, F., Elsadany, A., Heterogeneous triopoly game with isoelastic demand function, <<NONLINEAR DYNAMICS>>, 2012; 68 (1-2): 187-193. [doi:10.1007/s11071-011-0215-z] [http://hdl.handle.net/10807/67488]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/67488
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