A classical problem in ergodic control theory consists in the study of the limit behaviour of
$/lambda V$ as $/lambda↘ 0$; when $V_/lambda$ is the value function of a deterministic or stochastic control problem with discounted cost functional with infinite time horizon and discount factor $/lambda$. We study this problem for the lower value function $V_/lambda$ of a stochastic differential game with recursive cost, i.e.,the cost functional is defined through a backward stochastic differential equation with infinite time horizon. But unlike the ergodic control approach, we are interested in the case where the limit can be a function depending on the initial condition. For this we extend the so-called non-expansivity assumption from the case of control problems to that of stochastic differential games. Based on a joint work with Rainer Buckdahn (Brest, France), Nana Zhao (Weihai, China).

李娟教授，山东大学（威海校区）教授，博士生导师🍹。主要研究领域为随机分析、随机控制、随机微分对策、倒向随机微分方程与金融数学。已发表论文40余篇，发表杂志包括Annals of Probability，Annals of Applied Probability和SIAM J. Control Optim.等🧑‍🦲。2012年获得首届国家自然科学基金优秀青年基金🦹🏿；入选2013年度教育部新世纪优秀人才支持计划🚣‍♂️🖕🏻；2016年获得中英人才项目牛顿高级学者基金项目；2017年入选教育部长江学者特聘教授。

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