Mean Field Games for Modeling Crowd Motion
Mean Field Games for Modeling Crowd Motion
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用于模拟人群运动的平均场游戏
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
J. Lasry
中科院分区：
文献类型：
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作者：
Y. Achdou;J. Lasry
我们提出了一种基于最新平均场博弈理论的人群运动模型。该模型考虑了拥堵效应。讨论了一种稳健且有效的数值方法。给出了两个例子的数值模拟。第二个例子特别令人感兴趣，其中所有代理共享共同的风险源并且信息不完整，因为如果不对理性预期进行建模就无法处理它。
We present a model for crowd motion based on the recent theory of mean field games. The model takes congestion effects into account. A robust and efficient numerical method is discussed. Numerical simulations are presented for two examples. The second example, in which all the agents share a common source of risk and have incomplete information, is of particular interest, because it cannot be dealt with without modeling rational anticipation.