A rank based mean field game in the strong formulation

Erhan Bayraktar and Yuchong Zhang

Papers from arXiv.org

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.

Date: 2016-03, Revised 2016-10
New Economics Papers: this item is included in nep-gth
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