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arxiv: 1603.06312 · v3 · pith:TAOMUDRTnew · submitted 2016-03-21 · 🧮 math.PR · math.OC· q-fin.MF

A rank based mean field game in the strong formulation

classification 🧮 math.PR math.OCq-fin.MF
keywords gameemphfieldmeanrankagentsapproximatecommon
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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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