Mean-Field Game Theory，被称为新的博弈论大鱼 原文链接 在经典博弈论中，鱼类的行为是对附近其他鱼类的反应。这非常复杂，因为不同的鱼类之间会有大量的相互作用。这意味着经典博弈论对应于一长串高度耦合的方程。如果你不明白我的意思，别担心。本质上，我的观点是，经典博弈论模型几乎不可能用3条鱼...
其中,"mean-field game theory"可能是指平均场博 弈论,它是一种描述鱼类行为的理论,与经典博弈论不同, 它认为每条鱼只对附近鱼类的总体移动方向做出反应,而不 是对每条鱼的行为做出反应。 这句话中的"big fish"可能是指这种理论或方法在某个领域 或领域中具有重要地位,类似于"大人物"或"重要理论"的意 思...
The New Big Fish Called Mean-Field Game Theory 原文链接 http://www.science4all.org/article/mean-field-games/www.science4all.org/article/mean-field-games/ 主要内容 在经典博弈论中,它对附近其他鱼类的行为做出反应。这是非常复杂的,因为不同的鱼类之间会有大量的相互作用。这意味着经典博弈论对应于...
Mean field game (MFG) theory studies the existence of Nash equilibria, together with the individual strategies which generate them, in games involving a large number of asymptotically negligible agents modeled by controlled stochastic dynamical systems. This is achieved by exploiting the relationship ...
In this paper, we present an application of mean field game theory for privacy leakage with large scale edge devices in edge computing because the edge devices are resource constrained. The contributions are threefold: first, we construct an individual cost function with a mean field term and ...
By exploiting mean-field game (MFG) theory, the complexity of the proposed UDCN caching algorithm becomes independent of the number of SBSs. Numerical evaluations validate that the proposed caching algorithm reduces not only the long run average cost of the network but also the redundant cached ...
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摘要原文 Mean field games (MFGs) describe the limit, as $n$ tends to infinity, of stochastic differential games with $n$ players interacting with one another through their common empirical distribution. Under suitable smoothness assumptions that guarantee uniqueness of the MFG equilibrium, a form of...
Secondly, mean-field game theory has been developed to approximate Nash equilibria of finite-population games, which are hard to compute, via equilibrium in the infinite-population limit. The approximation result depends highly on the asymptotic convergence of the empirical measures of state–action ...