关键词：
Iterated Dilemma;The Cumulative Aspiration Strategy;Lonely Strategy;Simulation Society
摘要：
Most of economic action can regarded as a special case of game theory. This article through analysis of computer simulation for the characteristics of Iterated Prisoner's Dilemma, a repeated game model based on the evaluation of the cumulative aspiration tense is built and the result of modulation is analyzed. The results show that it can provide dynamic description for the behavior of social group along with time prolong, and it could provide aids for repeated game research.
期刊：
2008 5TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING, COMPUTING SCIENCE AND AUTOMATIC CONTROL (CCE 2008),2008年:120-124
通讯作者：
Zhang, HW
作者机构：
[Zhang, H. W.] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China.;[Lu, Z. L.] Xiangtang Univ, Inst Computat & Appl Math, Xiangtan, Peoples R China.
通讯机构：
[Zhang, HW ] ;Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China.
会议名称：
5th International Conference on Electrical Engineering, Computing Science and Automatic Control
会议时间：
NOV 12-14, 2008
会议地点：
Mexico City, MEXICO
会议论文集名称：
2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control
关键词：
Priori error estimates;mixed finite element method;optimal control
摘要：
In this paper, we study an a priori error analysis for the quadratic optimal control problems governed by nonlinear elliptic partial differential equations using mixed finite element methods. The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. A priori error estimates for the mixed finite element approximation of nonlinear optimal control problems is obtained. Some numerical examples are presented to confirm our theoretical results.
期刊：
Numerical Analysis and Applications,2008年1(1):69-78 ISSN：1995-4239
通讯作者：
Zuliang Lu
作者机构：
[Zuliang Lu] College of Mathematics, Changsha University of Science and Technology, Changsha, P.R. China;[Hongwei Zhang] School of Mathematical Sciences and Computing Technology Central South University, Changsha, P.R. China
通讯机构：
[Zuliang Lu] C;College of Mathematics, Changsha University of Science and Technology, Changsha, P.R. China
摘要：
A V-cycle multigrid method is developed for a time-dependent viscoelastic fluid flow satisfying an Oldroyd-B-type constitutive equation in two-dimensional domains. Also existence, uniqueness, and error estimates of an approximate solution are discussed. The approximate stress, velocity, and pressure are, respectively, σ
k
-discontinuous, u
k
-continuous, and p
k
-continuous.
期刊：
Lobachevskii Journal of Mathematics,2008年29(3):164-174 ISSN：1995-0802
通讯作者：
Z. L. Lu
作者机构：
[Lu Z.L.] Department of Mathematics, Xiangtan University, Xiangtan 411105, China;[Chen Y.P.] School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;[Zhang H.W.] College of Math and Computing Science, Changsha University of Science and Technology, Changsha 410076, China
通讯机构：
[Z. L. Lu] D;Department of Mathematics, Xiangtan University, Xiangtan, China
关键词：
Mixed finite element methods;Nonlinear quadratic convex optimal control problems;Priori error estimates
