When does grey market occur? A Cournot duopoly model of intrabrand competition

2008 ◽  
Vol 2 (2) ◽  
pp. 201 ◽  
Author(s):  
Bruce C.Y. Lee ◽  
C T. Hsiao
Keyword(s):  
Cournot Duopoly ◽  
Duopoly Model ◽  
Grey Market

scholarly journals Strategic trade policy with interlocking cross-ownership

2021 ◽  
Author(s):  
Luciano Fanti ◽  
Domenico Buccella
Keyword(s):  
Trade Policy ◽  
Free Trade ◽  
Strategic Trade Policy ◽  
Cournot Duopoly ◽  
Public Intervention ◽  
Tax Subsidy ◽  
Strategic Trade ◽  
Duopoly Model ◽  
Product Competition ◽  
Cross Ownership

AbstractBy analysing interlocking cross-ownership, this work reconsiders the inefficiency of activist governments that set subsidies for their exporters (Brander and Spencer, J Int Econ 18:83–100). Making use of a third-market Cournot duopoly model, we show that the implementation of strategic trade policy in the form of a tax (subsidy) when goods are differentiated (complements) is Pareto-superior to free trade within precise ranges of firms’ cross-ownership, richly depending on the degree of product competition. These results challenge the conventional ones in which public intervention (1) is always the provision of a subsidy and (2) always leads to a Pareto-inferior (resp. Pareto-superior) equilibrium when products are substitutes (resp. complements).

scholarly journals The Chaos Dynamic of Multiproduct Cournot Duopoly Game with Managerial Delegation

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Fang Wu ◽  
Junhai Ma
Keyword(s):  
Flip Bifurcation ◽  
Cournot Duopoly ◽  
Oligopoly Theory ◽  
Output Fluctuations ◽  
Duopoly Model ◽  
High Volatility ◽  
Route To Chaos ◽  
Barrier To Entry ◽  
Intermittent Chaos ◽  
Consumer Tastes

Although oligopoly theory is generally concerned with the single-product firm, what is true in the real word is that most of the firms offer multiproducts rather than single products in order to obtain cost-saving advantages, cater for the diversity of consumer tastes, and provide a barrier to entry. We develop a dynamical multiproduct Cournot duopoly model in discrete time, where each firm has an owner who delegates the output decision to a manager. The principle of decision-making is bounded rational. And each firm has a nonlinear total cost function due to the multiproduct framework. The Cournot Nash equilibrium and the local stability are investigated. The tangential bifurcation and intermittent chaos are reported by numerical simulations. The results show that high output adjustment speed can lead to output fluctuations which are characterized by phases of low volatility with small output changes and phases of high volatility with large output changes. The intermittent route to chaos of Flip bifurcation and another intermittent route of Flip bifurcation which contains Hopf bifurcation can exist in the system. The study can improve our understanding of intermittent chaos frequently observed in oligopoly economy.

scholarly journals Nonlinear Phenomena in Cournot Duopoly Model

Systems ◽  
2018 ◽  
Vol 6 (3) ◽  
pp. 30
Author(s):  
Pavel Pražák ◽  
Jaroslav Kovárník
Keyword(s):  
Demand Function ◽  
Deterministic Chaos ◽  
Linear Functions ◽  
Nonlinear Phenomena ◽  
Cournot Duopoly ◽  
Limit Values ◽  
Economic Agents ◽  
Duopoly Model ◽  
Sensitive Dependence ◽  
Stackelberg Duopoly

The economic world is very dynamic, and most phenomena appearing in this world are mutually interconnected. These connections may result in the emergence of nonlinear relationships among economic agents. Research discussions about different markets’ structures cannot be considered as finished yet. Even such a well-known concept as oligopoly can be described with different models applying diverse assumptions and using various values of parameters; for example, the Cournot duopoly game, Bertrand duopoly game or Stackelberg duopoly game can be and are used. These models usually assume linear functions and make analyses of the behavior of the two companies. The aim of this paper is to consider a nonlinear inverse demand function in the Cournot duopoly model. Supposing there is a sufficiently large proportion among the costs of the two companies, we can possibly detect nonlinear phenomena such as bifurcation of limit values of production or deterministic chaos. To prove a sensitive dependence on the initial condition, which accompanies deterministic chaos, the concept of Lyapunov exponents is used. We also point out the fact that even though some particular values of parameters are irrelevant for the above-mentioned nonlinear phenomena, it is worth being aware of their existence.

Aspiration-Based Learning in a Cournot Duopoly Model

2013 ◽  
Vol 10 (2) ◽  
pp. 295-314 ◽  
Author(s):  
Manahan Siallagan ◽  
Hiroshi Deguchi ◽  
Manabu Ichikawa
Keyword(s):  
Cournot Duopoly ◽  
Duopoly Model

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.

scholarly journals Licensing strategy for a stochastic R&D firm in a differentiated Cournot duopoly model

2015 ◽  
Vol 26 (5) ◽  
Author(s):  
Xianpei Hong ◽  
Qiang Lu ◽  
Lei Xu ◽  
Kannan Govindan ◽  
Ieva Meidutė
Keyword(s):  
Cournot Duopoly ◽  
Duopoly Model

scholarly journals Dynamics of a Heterogeneous Constraint Profit Maximization Duopoly Model Based on an Isoelastic Demand

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
S. S. Askar ◽  
A. Ibrahim ◽  
A. A. Elsadany
Keyword(s):  
Basin Of Attraction ◽  
Profit Maximization ◽  
Period Doubling ◽  
Chaotic Attractors ◽  
Cournot Duopoly ◽  
Coexistence Of Attractors ◽  
Duopoly Model ◽  
Periodic Attractors ◽  
Initial Results ◽  
The Basin Of Attraction

A Cournot duopoly game is a two-firm market where the aim is to maximize profits. It is rational for every company to maximize its profits with minimal sales constraints. As a consequence, a model of constrained profit maximization (CPM) occurs when a business needs to be increased with profit minimal sales constraints. The CPM model, in which companies maximize profits under the minimum sales constraints, is an alternative to the profit maximization model. The current study constructs a duopoly game based on an isoelastic demand and homogeneous goods with heterogeneous strategies. In the event of sales constraint and no sales constraint, the local stability conditions of the Cournot equilibrium are derived. The initial results show that the duopoly model would be easier to stabilize if firms were to impose certain minimum sales constraints. Two routes to chaos are analyzed by numerical simulation using 2D bifurcation diagram, one of which is period doubling bifurcation and the other is Neimark–Sacker bifurcation. Four forms of coexistence of attractors are demonstrated by the basin of attraction, which is the coexistence of periodic attractors and chaotic attractors, the coexistence of periodic attractors and quasiperiodic attractors, and the coexistence of several chaotic attractors. Our findings show that the effect of game parameters on stability depends on the rules of expectations and restriction of sales by firms.

On the dynamics of Kopel’s Cournot duopoly model

2018 ◽  
Vol 330 ◽  
pp. 292-306
Author(s):  
J.S. Cánovas ◽  
M. Muñoz-Guillermo
Keyword(s):  
Cournot Duopoly ◽  
Duopoly Model
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