Major diversion is an important part of the large-category student enrollment and training model.The degree to which undergraduates recognize the logic of the major diversion system,their satisfaction with the diverte...Major diversion is an important part of the large-category student enrollment and training model.The degree to which undergraduates recognize the logic of the major diversion system,their satisfaction with the diverted major,and their major identity after diversion all influence their subsequent learning process and outcomes.The questionnaire survey of undergraduates in this study discovered that major diversion attitude has a significant positive effect on undergraduates'learning gains;the mediating effect test discovered that course perception plays a partially mediating role between major diversion attitude and learning gains.Therefore,under the large-category student enrollment and training model,it is necessary to improve the major diversion system in terms of formulation,major selection guidance,and major identity promotion.Furthermore,strengthening the logical connection and content coupling of different types of courses,dealing with the proportion,priority,and sequence of courses,optimizing the allocation of course resources,and reasonably planning and setting courses all play an important role in improving undergraduate learning gains.展开更多
This paper studies the backward-forward linear-quadratic-Gaussian(LQG)games with major and minor agents(players).The state of major agent follows a linear backward stochastic differential equation(BSDE)and the states ...This paper studies the backward-forward linear-quadratic-Gaussian(LQG)games with major and minor agents(players).The state of major agent follows a linear backward stochastic differential equation(BSDE)and the states of minor agents are governed by linear forward stochastic differential equations(SDEs).The major agent is dominating as its state enters those of minor agents.On the other hand,all minor agents are individually negligible but their state-average affects the cost functional of major agent.The mean-field game in such backward-major and forward-minor setup is formulated to analyze the decentralized strategies.We first derive the consistency condition via an auxiliary mean-field SDEs and a 3×2 mixed backward-forward stochastic differential equation(BFSDE)system.Next,we discuss the wellposedness of such BFSDE system by virtue of the monotonicity method.Consequently,we obtain the decentralized strategies for major and minor agents which are proved to satisfy the-Nash equilibrium property.展开更多
文摘Major diversion is an important part of the large-category student enrollment and training model.The degree to which undergraduates recognize the logic of the major diversion system,their satisfaction with the diverted major,and their major identity after diversion all influence their subsequent learning process and outcomes.The questionnaire survey of undergraduates in this study discovered that major diversion attitude has a significant positive effect on undergraduates'learning gains;the mediating effect test discovered that course perception plays a partially mediating role between major diversion attitude and learning gains.Therefore,under the large-category student enrollment and training model,it is necessary to improve the major diversion system in terms of formulation,major selection guidance,and major identity promotion.Furthermore,strengthening the logical connection and content coupling of different types of courses,dealing with the proportion,priority,and sequence of courses,optimizing the allocation of course resources,and reasonably planning and setting courses all play an important role in improving undergraduate learning gains.
基金support partly by RGC Grant 502412,15300514,G-YL04.ZWu acknowledges the Natural Science Foundation of China(61573217),111 project(B12023)the National High-level personnel of special support program and the Chang Jiang Scholar Program of Chinese Education Ministry.
文摘This paper studies the backward-forward linear-quadratic-Gaussian(LQG)games with major and minor agents(players).The state of major agent follows a linear backward stochastic differential equation(BSDE)and the states of minor agents are governed by linear forward stochastic differential equations(SDEs).The major agent is dominating as its state enters those of minor agents.On the other hand,all minor agents are individually negligible but their state-average affects the cost functional of major agent.The mean-field game in such backward-major and forward-minor setup is formulated to analyze the decentralized strategies.We first derive the consistency condition via an auxiliary mean-field SDEs and a 3×2 mixed backward-forward stochastic differential equation(BFSDE)system.Next,we discuss the wellposedness of such BFSDE system by virtue of the monotonicity method.Consequently,we obtain the decentralized strategies for major and minor agents which are proved to satisfy the-Nash equilibrium property.