Complementarity of Goods and Cooperation Among Firms in a Dynamic Duopoly

2020 ◽  
pp. 161-171
Author(s):  
Mario Alberto Garcia Meza ◽  
Cesar Gurrola Rios
Keyword(s):  
Dynamic Duopoly

Assessing impact of subjective demand beliefs on a dynamic duopoly electricity market game

2014 ◽  
Vol 60 ◽  
pp. 182-189 ◽  
Author(s):  
Zhifeng Qiu ◽  
Ning Gui ◽  
Chunhua Yang ◽  
Geert Deconinck ◽  
Weihua Gui
Keyword(s):  
Electricity Market ◽  
Market Game ◽  
Dynamic Duopoly

A Dynamic Duopoly Game with Content Providers’ Bounded Rationality

2020 ◽  
Vol 30 (07) ◽  
pp. 2050095 ◽  
Author(s):  
Hamid Garmani ◽  
Driss Ait Omar ◽  
Mohamed El Amrani ◽  
Mohamed Baslam ◽  
Mostafa Jourhmane
Keyword(s):  
Bounded Rationality ◽  
Chaotic Behavior ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Pricing Decisions ◽  
Dynamical Behaviors ◽  
Duopoly Model ◽  
The Stability ◽  
Necessary And Sufficient ◽  
Dynamic Duopoly

This paper investigates the dynamical behaviors of a duopoly model with two content providers (CPs). Competition between two CPs is assumed to take place in terms of their pricing decisions and the credibility of content they offer. According to the CPs’ rationality level, we consider a scenario where both CPs are bounded rational. Each CP in any period uses the marginal profit observed from the previous period to choose its strategies. We compute explicitly the steady states of the dynamical system induced by bounded rationality, and establish a necessary and sufficient condition for stability of its Nash equilibrium (NE). Numerical simulations show that if some parameters of the model are varied, the stability of the NE point is lost and the complex (periodic or chaotic) behavior occurs. The chaotic behavior of the system is stabilized on the NE point by applying control.

scholarly journals A Dynamic Duopoly Model: When a Firm Shares the Market with Certain Profit

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1826
Author(s):  
Sameh S. Askar
Keyword(s):  
Equilibrium Point ◽  
Market Share ◽  
Period Doubling ◽  
Analytical Investigation ◽  
Basins Of Attraction ◽  
Stability Conditions ◽  
Cournot Duopoly ◽  
Demand Functions ◽  
Duopoly Model ◽  
Dynamic Duopoly

The current paper analyzes a competition of the Cournot duopoly game whose players (firms) are heterogeneous in a market with isoelastic demand functions and linear costs. The first firm adopts a rationally-based gradient mechanism while the second one chooses to share the market with certain profit in order to update its production. It trades off between profit and market share maximization. The equilibrium point of the proposed game is calculated and its stability conditions are investigated. Our studies show that the equilibrium point becomes unstable through period doubling and Neimark–Sacker bifurcation. Furthermore, the map describing the proposed game is nonlinear and noninvertible which lead to several stable attractors. As in literature, we have provided an analytical investigation of the map’s basins of attraction that includes lobes regions.

Unilateral production restrictions in a dynamic duopoly

2003 ◽  
Vol 111 (2) ◽  
pp. 214-239 ◽  
Author(s):  
Hassan Benchekroun
Keyword(s):  
Dynamic Duopoly

Dynamic duopoly with adjustment costs: A differential game approach

1989 ◽  
Vol 49 (2) ◽  
pp. 324-338 ◽  
Author(s):  
Robert A Driskill ◽  
Stephen McCafferty
Keyword(s):  
Differential Game ◽  
Adjustment Costs ◽  
Dynamic Duopoly
Sign in / Sign up

Export Citation Format

Share Document