论文标题
Schrödinger的方法是指具有负协调的现场比赛
Schrödinger approach to Mean Field Games with negative coordination
论文作者
论文摘要
平均现场游戏提供了一个强大的框架，可以分析大量受控代理在交互中的动态。在这里，当代理之间的相互作用导致负协调性并使用与非线性Schrödinger方程的现在良好建立的对应关系分析相关系统相关系统的行为时，我们会考虑此类系统。我们专注于长期优化的时间限制和配置，以使我们考虑的游戏经历了不同的制度，在不同的方向上，混乱的相对重要性，代理和外部电位之间的相互作用各不相同，这使得有可能了解与均值野外游戏方程的前进结构的作用相对于这些不同的各种制度连接的方式。
Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled agents in interaction. Here we consider such systems when the interactions between agents result in a negative coordination and analyze the behavior of the associated system of coupled PDEs using the now well established correspondence with the non linear Schrödinger equation. We focus on the long optimization time limit and on configurations such that the game we consider goes through different regimes in which the relative importance of disorder, interactions between agents and external potential varies, which makes possible to get insights on the role of the forward-backward structure of the Mean Field Game equations in relation with the way these various regimes are connected.
