【摘 要】
：
In this talk,we discuss some recent progresses in the theory of mean-field games.First,we examine monotonicity methods and its applications to the existence
【机 构】
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KingAbdullahUniversityofScience&Technology,SaudiArabia
【出 处】
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2016国际非线性偏微分方程与科学计算研讨会
论文部分内容阅读
In this talk,we discuss some recent progresses in the theory of mean-field games.First,we examine monotonicity methods and its applications to the existence theory for MFGs and to the construction of numerical methods.Next,we consider non-monotone mean-field games and,through a rather explicit analysis,we uncover new phenomena that are not present in the monotone case.Finally,if time permits,we will examine several one-dimensional problems that are given by hyperbolic conservation laws.Here,we discuss new wave-like equations,conserved quantities and various asymptotic properties.
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