The complex dynamics of a multi-product mixed duopoly model with partial privatization and cross-ownership

2015 ◽  
Vol 80 (3) ◽  
pp. 1391-1401 ◽  
Author(s):  
Fang Wu ◽  
Junhai Ma
2011 ◽  
Vol 107 (1) ◽  
pp. 45-70 ◽  
Author(s):  
Ritika Jain ◽  
Rupayan Pal

Author(s):  
Luciano Fanti ◽  
Domenico Buccella

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).


2009 ◽  
Vol 61 (2) ◽  
pp. 165-178 ◽  
Author(s):  
John S. Heywood ◽  
Guangliang Ye

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Junhai Ma ◽  
Hongwu Wang

A Cournot-Bertrand mixed duopoly game model is constructed. The existence and local stable region of the Nash equilibria point are investigated. Complex dynamic properties such as bifurcation and route to chaos are analyzed using parameter basin plots. The strange attractors are also studied when the system is in chaotic states. Furthermore, considering the memory of the market, a delayed Cournot-Bertrand mixed model is considered and the results show that the delayed system has the same Nash equilibrium and has a higher chance of reaching steady states or cycles than the model without delay. So making full use of the historical data can improve the system’s stability.


Author(s):  
Jiancai Pi ◽  
Jun Yin

Abstract This paper explores the unemployment and welfare effects of privatization through the Harris-Todaro model with a mixed duopoly. Our approach is more generalized than the existing literature. When capital is sector-specific (i. e., it is in the short run), an increase in the degree of partial privatization will raise the unemployment rate, but the change of social welfare is conditional on the market share of the public firm and the relative degree of partial privatization. When capital is sector-mobile (i. e., it is in the long run), an increase in the degree of partial privatization will reduce the unemployment rate, but the change of social welfare is also dependent on the market share of the public firm and the relative degree of partial privatization. Our results capture the fact that the public firm and the private firm usually coexist in a competitive environment in the real world.


Author(s):  
Yuqi Dou ◽  
Xingyu Liu

In this paper, the complex dynamic behavior of a mixed duopoly game model is studied. Based on the principle of relative profit maximization and bounded rational expectation, the corresponding discrete dynamic systems are constructed in the case of nonlinear cost function. In theory, the conditions for the local stability of Nash equilibrium are given. In terms of numerical experiments, bifurcation diagrams are used to depict the effects of product differences, adjustment speed, and other parameters on the stability of Nash equilibrium.


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