Preface: DGAA 2nd Special Issue on Mean Field Games
Preface: DGAA 2nd Special Issue on Mean Field Games
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前言：DGAA 第二期平均场游戏特刊
DOI：
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发表时间：
2013
影响因子：
1.5
通讯作者：
I. Dolcetta
中科院分区：
文献类型：
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作者：
M. Bardi;P. Caines;I. Dolcetta
这是《动态博弈与平均场博弈应用》（Dynamic Games and Applications on Mean Field Games，简称MFG）的第二个特刊。第一篇于2013年12月出版，收集了有关MFG理论和应用各个方面的原创论文。这两个问题的目的是在这个快速增长的研究领域的新兴趋势给出了一个广泛的概述。关于MFG研究的早期快照可以在网络和异质媒体的特刊中找到[1]。MFG理论是动态博弈的一个分支，其目的是建模和分析复杂的决策过程，涉及大量不可区分的理性主体，这些主体对整个系统的影响很小，另一方面，受其他主体的影响。这个名字来自粒子物理学，在粒子物理学中，通常认为粒子之间的相互作用是影响粒子本身的外部平均场。尽管由理性的代理人，在这样的模型中扮演粒子的角色，适当的平均场方程可以推导出一个适当选择的外部平均场，考虑到个人的整体行为的一个单一的问题，以取代许多粒子的相互作用。在优化标准中引入社会成分使得该理论非常灵活，可以应用于各个领域，因此，它吸引了经济学家（微观和宏观），工程师，描述动物行为的生物学家以及可能的社会学家和城市规划师越来越多的兴趣。
This is the second special issue of Dynamic Games and Applications on Mean Field Games (MFG, in short). The first was published in December 2013 and collected original papers on various aspects of the MFG theory and applications. The two issues aim at giving a wide overview of the emerging trends in this fast growing research area. An earlier snapshot of the research on MFG can be found in the special issue of Networks and Hetereogeneous Media [1]. The theory of MFG is a branch of Dynamic Games which aims at modeling and analyzing complex decision processes involving a large number of indistinguishable rational agents who have individually a very small influence on the overall system and are, on the other hand, influenced by the mass of the other agents. The name comes from particle physics where it is common to consider interactions among particles as an external mean field which influences the particles themselves. In spite of the optimization made by rational agents, playing the role of particles in such models, appropriate mean field equations can be derived to replace the many particles interactions by a single problem with an appropriately chosen external mean field which takes into account the global behavior of the individuals. The introduction of a social component in the optimization criteria makes this theory so flexible that it can be applied to various fields and, for this reason, it is attracting an increasing interest from economists (micro and macro), engineers, biologist describing the animal behavior, and possibly sociologists and urban planners.