有限理性Bertrand模型的動力學分析

Dynamics of Bertrand Model with Bounded Rationality

10.6704/JMSSD.2005.2.1.45

曾祥金(Xiang-Jin Zeng)；易其國(Qi-Guo Yi)

有限理性 ； Nash均衡 ； 動態演化 ； 穩定性 ； bounded rationality ； Nash equilibrium ； dynamical evolution ； stability

管理科學與統計決策

2卷1期（2005 / 06 / 01）

45 - 50

繁體中文

研究了具非線性成本的有限理性Bertrand模型的動力學，分析了此非線性系統均衡的存在與穩定性問題，觀察到了分叉、混沌行為等複雜現象，並對混沌現象的影響及控制做了有益的探討。

A Bertrand model with bounded rationality is studied. We analyze the existence and stability of the nonlinear system, and observe the complicated phenomenon such as bifurcation and chaos. We also study the influence and control of chaos and gain some helpful results.

1. G.I. Bischi, A.(1999).Advances in Dynamic Games and Applications.Boston:Birkhaur.
2. H.N. Agiza, A.A(2003).Elsadany, Nonlinear dynamics in the Cournot duopoly game with heterogenous players.Physica A,320,512-524.
3. H.N. Agiza, A.S.,Hegazi, A.A(2004).Elsadany, Chaotic dynamics in nonlinear duopoly game with heterogeneous players.Applied Mathematics and Computation,149,843-860.
4. H.N. Agiza, A.S,Hegazi, A.A. Elsadany(2002).Complex dynamics and synchronization of duopoly game with bounded rationality.Mathematics and Computers in Simulation,58,133-146.
5. H.N. Agiza,A.S. Hegazi, A.A(2001).Elsadany, The dynamics of Bowley's model with bounded rationality.Chaos, Solitons & Fractals,9,1705-1717.
6. M.T. Yassen,H.N. Agiza(2003).Analysis of a duopoly game with delayed bounded rationality.Applied Mathematics and Computation,138,387-402.
7. 王翼(2000)。經濟系統的分析預測與控制。北京:中國城市出版社。
8. 肖恩著、吳漢洪譯(2003)。動態經濟學。北京:中國人民大學出版社。
9. 易余胤、盛昭瀚、肖條軍(2004)。具溢出效應的有限理性雙寡頭博弈的動態演化。系統工程學報，3
10. 易余胤、盛昭瀚、肖條軍(2004)。不同行爲規則下的Cournot競爭的演化博弈分析。中國管理科學，3
11. 劉洪(2001)。經濟混沌管理。北京:中國發展出版社。