A rank based mean field game in the strong formulation

2016/03/21 by Erhan Bayraktar, Bayraktar, Erhan, Yuchong Zhang +1 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Economics and business #FOS: Mathematics #Mathematical Finance (q-fin.MF) #Optimization and Control (math.OC) #Probability (math.PR) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1603.06312

openalex publication_date 2016/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a natural game of competition and solve the corresponding mean field game with common noise when agents' rewards are 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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