论文标题
单调游戏中混合策略的演变
Evolution of mixed strategies in monotone games
论文作者
论文摘要
我们考虑在非合作游戏中近似NASH均衡的基本问题。对于单调游戏,我们设计了连续的时间流,这些时间流以平均意义融合到Nash Equilibria。我们还研究了平均野战平衡,这是在对称非合作游戏的大型玩家限制中产生的。在这种情况下,我们还将表明,在合适的单调性假设下,平均场平衡的近似是可能的。
We consider the basic problem of approximating Nash equilibria in noncooperative games. For monotone games, we design continuous time flows which converge in an averaged sense to Nash equilibria. We also study mean field equilibria, which arise in the large player limit of symmetric noncooperative games. In this setting, we will additionally show that the approximation of mean field equilibria is possible under a suitable monotonicity hypothesis.