[1]闫安,达庆利.2个企业同时博弈的动态古诺模型[J].东南大学学报(自然科学版),2006,36(4):672-676.[doi:10.3969/j.issn.1001-0505.2006.04.038]
 Yan An,Da Qingli.Dynamical Cournot model with duopoly’s simultaneous-move game[J].Journal of Southeast University (Natural Science Edition),2006,36(4):672-676.[doi:10.3969/j.issn.1001-0505.2006.04.038]
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2个企业同时博弈的动态古诺模型()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
36
期数:
2006年第4期
页码:
672-676
栏目:
经济与管理
出版日期:
2006-07-20

文章信息/Info

Title:
Dynamical Cournot model with duopoly’s simultaneous-move game
作者:
闫安12 达庆利1
1 东南大学经济管理学院, 南京 210096; 2 合肥工业大学管理学院, 合肥 230009
Author(s):
Yan An12 Da Qingli1
1 College of Economics and Management, Southeast University, Nanjing 210096, China
2 School of Management, Hefei University of Technology, Hefei 230009, China
关键词:
博弈 古诺模型 寡头垄断市场 市场容量
Keywords:
game Cournot model oligopoly market market capacity
分类号:
F713
DOI:
10.3969/j.issn.1001-0505.2006.04.038
摘要:
依据产品的市场容量随着时间发生变化的特点,修正了2个企业同时博弈的动态古诺模型,得到2个新的模型(模型Ⅰ和模型Ⅱ)及其各自所对应的产量解.其中,模型Ⅱ为具有有限理性的动态调整模型.针对这2个新模型,给出了阶段i时的市场容量与相应阶段的产量解之间的关系,以及对应于产量解的企业利润的计算公式.在此基础上,通过对产量解之间的比较与分析可得,模型Ⅰ和模型Ⅱ是对传统模型的进一步扩展,其阶段数m往往是在博弈过程中随着市场容量的变化而确定的,并且模型Ⅱ优于模型Ⅰ.
Abstract:
Due to the property that the market capacity changes with respect to time, two modified dynamical Cournot models(ModelⅠand ModelⅡ)with duopoly’s simultaneous-move game are established, and their solutions are presented respectively. In ModelⅡ, the duopoly are finite rational firms, and their game is a dynamical Cournot adjustment process. Then, the relationship between the market capacity and the optimal solutions at stage i and the formulas of the firm profits corresponding to the solutions are provided. With the comparison and analysis of these models’ solutions, it can be illustrated that ModelⅠ and ModelⅡ are extensions to the traditional one, the game stage number m is often determined by the change of market capacity, and ModelⅡ is superior to ModelⅠ.

参考文献/References:

[1] 张明善,唐小我.多个生产商下的动态古诺模型分析[J].管理科学学报,2002,5(5):85-90.
  Zhang Mingshan,Tang Xiaowo.Dynamic analysis of Cournot model with multiple firms[J]. Journal of Management Sciences in China,2002,5(5):85-90.(in Chinese)
[2] Agiza H N.Explicit stability zones for cournot game with 3 and 4 competitors [J].Chaos Solitons & Fractals,1998,9(12):1955-1966.
[3] Agliari A,Gardini L,Puu T.The dynamics of a triopoly cournot game [J]. Chaos,Solitons and Fractals,2000,11(15):2531-2560.
[4] Bischi G I,Mammana C,Gardini L.Multistability and cyclic attractors in duopoly games [J].Chaos,Solitons and Fractals,2000,11(4):543-564.
[5] 张宇波,罗先觉,薛均义.寡占市场中动态古诺模型的建立及稳定性分析[J].系统工程理论与实践,2003,23(11):54-59.
  Zhang Yubo,Luo Xianjue,Xue Junyi.Dynamic Cournot model and stability analysis in oligopoly market[J].Systems Engineering — Theory & Practice,2003,23(11):54-59.(in Chinese)
[6] 张宇波,罗先觉,薛均义.寡占市场中自适应动态古诺模型的建立[J].管理工程学报,2004,18(3):78-81.
  Zhang Yubo,Luo Xianjue,Xue Junyi.Adaptive dynamic Cournot model in oligopoly market[J]. Journal of Industrial Engineering and Engineering Management,2004,18(3):78-81.(in Chinese)
[7] Normann H T.Endogenous timing with incomplete information and with observable delay [J].Games and Economic Behavior,2002,39(2):282-291.
[8] Bischi G I,Lamantia F.Nonlinear duopoly games with positive cost externalities due to spillover effects [J]. Chaos Solitons and Fractals,2002,13(4):701-721.
[9] Matsumura T.Cournot duopoly with multi-period competition:inventory as a coordination device [J].Australian Economic Papers,1999,38(3):189-202.
[10] Agiza H N,Hegazi A S,Elsadny A A.Complex dynamics and synchronization of duopoly game with bounded rationality [J].Mathematics and Computers in Simulation,2002,58(2):133-146.
[11] 易余胤,盛昭瀚,肖条军.具溢出效应的有限理性双寡头博弈的动态演化[J].系统工程学报,2004,19(3):244-250.
  Yi Yuyin,Sheng Zhaohan,Xiao Tiaojun.Dynamics of duopoly model with bounded rationality and spillover effect[J].Journal of Systems Engineering,2004,19(3):244-250.
[12] Barr J,Saraceno F.Cournot competition,organization and learning[C] //The 8th International Conference of the Society for Computational Economics and Finance.Aix-En-Provence,France,2002:27-29.

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备注/Memo

备注/Memo:
基金项目: 高等学校博士学科点专项科研基金资助项目(20030286008).
作者简介: 闫安(1977—),男,博士; 达庆利(联系人),男,教授,博士生导师,dqlseunj@126.com.
更新日期/Last Update: 2006-07-20