Electronic Communications in Probability

A rank-based mean field game in the strong formulation

Erhan Bayraktar and Yuchong Zhang

Full-text: Open access

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.

Article information

Source
Electron. Commun. Probab. Volume 21 (2016), paper no. 72, 12 pp.

Dates
Received: 26 March 2016
Accepted: 6 October 2016
First available in Project Euclid: 19 October 2016

Permanent link to this document
https://projecteuclid.org/euclid.ecp/1476841494

Digital Object Identifier
doi:10.1214/16-ECP24

Zentralblatt MATH identifier
06667507

Subjects
Primary: 60H 91A

Keywords
mean field games competition common noise rank-dependent interaction non-local interaction strong formulation

Rights
Creative Commons Attribution 4.0 International License.

Citation

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.


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References

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