具有渐进策略的平均场博弈的相关均衡

Correlated Equilibria for Mean Field Games with Progressive Strategies

Mathematics of Operations Research · 2024
被引 6 · 同刊同年前 7%
ABS 3

中文导读

在离散时空框架下,研究了基于相关均衡的对称N人博弈的平均场极限,定义了相关解以构造对渐进偏差稳健的近似N人相关均衡,并给出显式解示例。

Abstract

In a discrete space and time framework, we study the mean field game limit for a class of symmetric N-player games based on the notion of correlated equilibrium. We give a definition of correlated solution that allows us to construct approximate N-player correlated equilibria that are robust with respect to progressive deviations. We illustrate our definition by way of an example with explicit solutions. Funding: O. Bonesini acknowledges financial support from Engineering and Physical Sciences Research Council [Grant EP/T032146/1]. M. Fischer acknowledges partial support through the University of Padua [Research Project BIRD229791 “Stochastic mean field control and the Schrödinger problem”].

平均场博弈相关均衡博弈论离散空间与时间