Nonlinear dynamics in a heterogeneous quantum Cournot duopoly game with isoelastic demand

2021 ◽  
Vol 20 (9) ◽  
Author(s):  
Lian Shi ◽  
Feng Xu
Keyword(s):  
Nonlinear Dynamics ◽  
Cournot Duopoly

scholarly journals Nonlinear dynamics in a Cournot duopoly with relative profit delegation

2012 ◽  
Vol 45 (12) ◽  
pp. 1469-1478 ◽  
Author(s):  
Luciano Fanti ◽  
Luca Gori ◽  
Mauro Sodini
Keyword(s):  
Nonlinear Dynamics ◽  
Cournot Duopoly ◽  
Relative Profit

scholarly journals Nonlinear Dynamics of Cournot Duopoly Game: When One Firm Considers Social Welfare

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
S. S. Askar ◽  
A. A. Elsadany
Keyword(s):  
Nonlinear Dynamics ◽  
Social Welfare ◽  
Fixed Points ◽  
Phase Plane ◽  
Complex Dynamics ◽  
Stability Conditions ◽  
Cournot Duopoly ◽  
Discrete Dynamic ◽  
Gradient Based ◽  
Dynamic Map

In this paper, we study the competition between two firms whose outputs are quantities. The first firm considers maximization of its profit while the second firm considers maximization of its social welfare. Adopting a gradient-based mechanism, we introduce a nonlinear discrete dynamic map which is used to describe the dynamics of this game. For this map, the fixed points are calculated and their stability conditions are analyzed. This includes investigating some attracting set and chaotic behaviors for the complex dynamics of the map. We have also investigated the types of the preimages that characterize the phase plane of the map and conclude that the game’s map is noninvertible of type Z 4 − Z 2 .

scholarly journals Nonlinear dynamics in a Cournot duopoly with isoelastic demand

2015 ◽  
Vol 108 ◽  
pp. 129-143 ◽  
Author(s):  
Luciano Fanti ◽  
Luca Gori ◽  
Mauro Sodini
Keyword(s):  
Nonlinear Dynamics ◽  
Cournot Duopoly
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