TY - JOUR
AU - Voskanyan, V.K.
AU - Gomes, D.
PY - 2013/04/10
Y2 - 2024/08/16
TI - SOME ESTIMATES FOR STATIONARY EXTENDED MEAN FIELD GAMES
JF - Proceedings of the YSU A: Physical and Mathematical Sciences
JA - Proc. YSU A: Phys. Math. Sci.
VL - 47
IS - 1 (230)
SE - Mathematics
DO - 10.46991/PYSU:A/2013.47.1.024
UR - https://journals.ysu.am/index.php/proceedings-phys-math/article/view/vol47_no1_2013_pp024-031_pdf
SP - 24-31
AB - <p>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.</p>
ER -