SOME ESTIMATES FOR STATIONARY EXTENDED MEAN FIELD GAMES

Authors

  • V.K. Voskanyan Institute of Mathematics of NAS of the Republic of Armenia
  • D. Gomes Instituto Superior T´ecnico, Lisbon, Portugal

DOI:

https://doi.org/10.46991/PYSU:A/2013.47.1.024

Keywords:

mean field games, quasivariational, velocity field dependence, stationary

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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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

Issue

Section

Mathematics