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arXiv · 1603.06312

A rank based mean field game in the strong formulation

Erhan Bayraktar·Yuchong Zhang
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Abstract

We discuss a natural game of competition and solve the corresponding mean field game with \emph{common noise} when agents' rewards are \emph{rank dependent}. We use this solution to provide an approximate Nash equilibrium for the finite player game and obtain the rate of convergence.

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Erhan Bayraktar, Yuchong Zhang. 2016-03-21. A rank based mean field game in the strong formulation. https://arxiv.org/abs/1603.06312

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