数学学科Seminar第2641讲 线性二次stackelberg微分博弈的时间一致开环解及其在养老金管理中的应用

创建时间:  2024/04/19  龚惠英   浏览次数:   返回

报告题目 (Title):Time-consistent open-loop solutions for linear quadratic stackelberg differential games and its application in pension management

(线性二次stackelberg微分博弈的时间一致开环解及其在养老金管理中的应用)

报告人 (Speaker): 赵慧 副教授(天津大学)

报告时间 (Time):2024年4月20日 (周六) 9:00

报告地点 (Place):校本部FJ203

邀请人(Inviter):阳芬芬

主办部门:永利数学系

报告摘要:This paper formulates a general time-inconsistent linear quadratic mean-field Stackelberg differential game. We define the equilibrium strategies for the follower and the leader, which are two open-loop controls. The sufficient conditions for equilibrium controls are derived via two flows of forward-backward stochastic differential equations. Finally, we consider a stackelberg game between a pension manager and policy holders as an application. Applying the general sufficient condition, we obtain explicit equilibrium strategies for the pension manager and policy holders.

上一条:数学学科Seminar第2642讲 平均场交互粒子系统在全变差距离下的长时间混沌传播

下一条:数学学科Seminar第2640讲 无网格方法在求解流形和模上的偏微分方程中的应用


数学学科Seminar第2641讲 线性二次stackelberg微分博弈的时间一致开环解及其在养老金管理中的应用

创建时间:  2024/04/19  龚惠英   浏览次数:   返回

报告题目 (Title):Time-consistent open-loop solutions for linear quadratic stackelberg differential games and its application in pension management

(线性二次stackelberg微分博弈的时间一致开环解及其在养老金管理中的应用)

报告人 (Speaker): 赵慧 副教授(天津大学)

报告时间 (Time):2024年4月20日 (周六) 9:00

报告地点 (Place):校本部FJ203

邀请人(Inviter):阳芬芬

主办部门:永利数学系

报告摘要:This paper formulates a general time-inconsistent linear quadratic mean-field Stackelberg differential game. We define the equilibrium strategies for the follower and the leader, which are two open-loop controls. The sufficient conditions for equilibrium controls are derived via two flows of forward-backward stochastic differential equations. Finally, we consider a stackelberg game between a pension manager and policy holders as an application. Applying the general sufficient condition, we obtain explicit equilibrium strategies for the pension manager and policy holders.

上一条:数学学科Seminar第2642讲 平均场交互粒子系统在全变差距离下的长时间混沌传播

下一条:数学学科Seminar第2640讲 无网格方法在求解流形和模上的偏微分方程中的应用

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