王磊

个人信息Personal Information

教授

博士生导师

硕士生导师

主要任职:教务处副处长兼通识与基础教育中心主任

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:运筹学与控制论

电子邮箱:wanglei@dlut.edu.cn

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Maximum principle via Malliavin calculus for regular-singular stochastic differential games

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论文类型:期刊论文

发表时间:2018-08-01

发表刊物:OPTIMIZATION LETTERS

收录刊物:SCIE、CPCI-S

卷号:12

期号:6,SI

页面范围:1301-1314

ISSN号:1862-4472

关键字:Maximum principle; Stochastic differential game; Regular-singular control; Malliavin calculus; Asymmetric partial informations

摘要:We consider non-zero-sum regular-singular stochastic differential games, where the informations available to the two players are asymmetry partial informations. The control strategy of each player consists of two components: regular control and singular control. Applying the Malliavin calculus approach, we establish a necessary maximum principle for the games, where the adjoint processes are explicitly represented by the parameters and the states of the system.