Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 21 (2016), paper no. 72, 12 pp.
A rank-based mean field game in the strong formulation
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.
Electron. Commun. Probab. Volume 21 (2016), paper no. 72, 12 pp.
Received: 26 March 2016
Accepted: 6 October 2016
First available in Project Euclid: 19 October 2016
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Bayraktar, Erhan; Zhang, Yuchong. A rank-based mean field game in the strong formulation. Electron. Commun. Probab. 21 (2016), paper no. 72, 12 pp. doi:10.1214/16-ECP24. https://projecteuclid.org/euclid.ecp/1476841494.