Study on Corporate Strategy in Information Communication Industry by Dynamic Game Approach

动态博弈方法研究信息通信行业企业战略

• 批准号: 16510101
• 负责人: XU Hua
• 金额: $ 2.3万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2004
• 资助国家: 日本
• 起止时间: 2004 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-16510101/
• 关键词: Dynamic Game; Information Communication; Group Game; Simulation; Algorithm; Nash Equilibrium; Pareto Equilibrium; 独占的市場; 複占的市場; ナッシュ均衡; 企業グループ; 小売市場; 価格戦略; 通信品質

As the advancement of network business modularity, the market entry in information communication industry becomes easier, and business becomes more competitive. It is common in the information communication industry that business competitions take place among a few major corporate groups. But, besides the group competition, we can also find that business competitions take place among branches or subsidiaries which are distributed in the same area or in the same country by different companies.In this study, we have defined a group dynamic game concept to describe the phenomena described above by using the system model of multi-parameter singularly perturbed systems. This model is composed of N lower lever fast (decision speed) subsystems (branches) and a higher level slow subsystem (parent company).Based on the system model of multi-parameter singularly perturbed systems, we have studied various dynamic games which include (1) zero-sum game, (2) Nash game and (3) cooperative game from the viewpoint of finding equilibrium solutions. In order to find the equilibrium solutions, we need, at first, to develop the numerical approach to solve various kinds of generalized cross-coupled multi-parameter algebraic Riccati and Lyapunov equations. We have continuously improved the algorithms, which include the recursive algorithm, the iterative algorithm and the Newton's method, to calculate the solutions of these equations. As the result, we have developed several efficient algorithms to compute the solutions with quadratic convergence rates.We will apply the results obtained above to study business competitions, for example, network investment competition and pricing strategies, in the information communication industry.

随着网络业务模块化的推进，信息通信行业的市场进入变得更加容易，业务竞争更加激烈。在信息通信行业，几大企业集团之间的商业竞争是很常见的。但是，除了群体竞争之外，我们还可以发现，不同公司分布在同一地区或同一国家的分支机构或子公司之间也存在业务竞争。在本研究中，我们利用多参数奇异摄动系统的系统模型，定义了群体动态博弈的概念来描述上述现象。该模型由N个低级快速（决策速度）子系统（分支）和一个高级慢速子系统（母公司）组成。基于多参数奇异摄动系统的系统模型，我们从寻找均衡解的角度研究了各种动态博弈，包括（1）零和博弈、（2）纳什博弈和（3）合作博弈。为了找到平衡解，我们首先需要开发数值方法来求解各种广义交叉耦合多参数代数 Riccati 和 Lyapunov 方程。我们不断改进算法，包括递归算法、迭代算法和牛顿法来计算这些方程的解。结果，我们开发了几种有效的算法来计算具有二次收敛率的解。我们将应用上面获得的结果来研究信息通信行业的商业竞争，例如网络投资竞争和定价策略。

项目成果

弱総合システムに対するリカッチ代数方程式を解くための数値計算法

求解弱集成系统Riccati代数方程的数值方法

• 发表时间: 2005
• 期刊: 電気学会論文誌C 125
• 作者: 向谷博明;H.Xu;門田良実
• 通讯作者: 門田良実

Numerical Computation of Cross-Coupled Algebraic Riccati Equations Related to H_2/H_8 Control Problem for Singularly Perturbed Systems

奇异摄动系统H_2/H_8控制问题交叉耦合代数Riccati方程的数值计算

• 发表时间: 2004
• 期刊: International Journal of Robust and Nonlinear Control 14
• 作者: H.Mukaidani;T.Shimomura;H.Xu
• 通讯作者: H.Xu

Neural-Based Decentralized Robust Control of Large-Scale Uncertain Nonlinear Systems with Guaranteed H_∞Performance

具有保证H_∞性能的大规模不确定非线性系统的基于神经的分散鲁棒控制

• 发表时间: 2006
• 期刊: Proceedings of45th IEEE Conference on Decision and Control, pp.6348-6354 CD-ROM
• 作者: H.Mukaidani;S.Sakaguchi;……;H.Xu;T.Tsuji
• 通讯作者: T.Tsuji

Near-Optimal Nash Strategy for Multiparameter Singularly Perturbed Systems

多参数奇异摄动系统的近最优纳什策略

• 发表时间: 2004
• 期刊: Proceedings of the 43rd IEEE Conference on Decision and Control (CDC), Bahamas
• 作者: Mukaidani;H.;H.Xu
• 通讯作者: H.Xu

Numerical Algorithm for Solving Cross-Coupled Algebraic Riccati Equations of Singularly Perturbed Systems

求解奇异摄动系统交叉耦合代数Riccati方程的数值算法

• 发表时间: 2005
• 期刊: Annals of the International Society of Dynamic Games 7
• 作者: H.Mukaidani;H.Xu;K.Mizukami
• 通讯作者: K.Mizukami