Mean field games with monotonous interactions through the law of states and controls of the agents

Author:

Kobeissi ZiadORCID

Funder

agence nationale de la recherche

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference39 articles.

1. Achdou, Y., Kobeissi, Z.: Mean field games of controls: finite difference approximations. Math. Eng. 3(3), 35 (2021)

2. Bensoussan, A., Frehse, J.: Control and Nash games with mean field effect. Chin. Ann. Math. Ser. B 34(2), 161–192 (2013)

3. Bertrand, J.: Théorie mathématiques de la richesse sociale. Journal des Savants 67, 499–508 (1883)

4. Bertucci, C., Lasry, J.-M., Lions, P.-L.: Some remarks on mean field games. Comm. Part. Differ. Equ. 44(3), 205–227 (2019)

5. Bonnans, J.F., Gianatti, J., Pfeiffer, L.: A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints (2021). arXiv e-prints, arXiv:2103.10743

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On monotonicity conditions for mean field games;Journal of Functional Analysis;2023-11

2. A Lagrangian Approach for Aggregative Mean Field Games of Controls with Mixed and Final Constraints;SIAM Journal on Control and Optimization;2023-02-15

3. Linear-quadratic mean field games of controls with non-monotone data;Transactions of the American Mathematical Society;2023-02-10

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