A Rank-Based Mean Field Game in the Strong Formulation
Electronic Communications in Probability, 21, paper no. 72, 1-12, 2016
12 Pages Posted: 13 May 2016 Last revised: 30 Jun 2019
Date Written: March 21, 2016
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.
Keywords: Mean Field Games, Competition, Common Noise, Rank-Dependent Interaction, Non-Local Interaction, Strong Formulation
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