2013; Physical and Mathematical Sciences, 47(1 (230): 24–31
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SOME ESTIMATES FOR STATIONARY EXTENDED MEAN FIELD GAMES

V. Voskanyan*

Received: 2025-02-18 · Published: 2013-04-10

© 2013 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
SOME ESTIMATES FOR STATIONARY EXTENDED MEAN FIELD GAMES
Author
V. Voskanyan
Published
2013-04-10
Licence
Creative Commons Attribution 4.0 International

Abstract

Mean field games theory is a recent area of study introduced by Lions and Lasry in a series of seminal papers in 2006. Mean field games model situations of competition between large number of rational agents that play noncooperative dynamic games under certain symmetry assumptions. In this paper we consider quasivariational mean field games system with additional dependence on a velocity field of the players. We obtain certain estimates for the solutions to this system. In a forthcoming paper we intend to obtain an existence result using this kind of estimates and continuation method.
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