SOME ESTIMATES FOR STATIONARY EXTENDED MEAN FIELD GAMES
DOI:
https://doi.org/10.46991/PYSU:A/2013.47.1.024Keywords:
mean field games, quasivariational, velocity field dependence, stationaryAbstract
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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Published
2013-04-10
How to Cite
Voskanyan, V., & Gomes, D. (2013). SOME ESTIMATES FOR STATIONARY EXTENDED MEAN FIELD GAMES. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(1 (230), 24–31. https://doi.org/10.46991/PYSU:A/2013.47.1.024
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Mathematics
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Copyright (c) 2013 Proceedings of the YSU
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