Nous introduisons et étudions mathématiquement une classe nouvelle de jeux à champ moyen. Les systèmes d'équations que nous présentons permettent de modéliser les situations faisant intervenir un joueur dominant et un « grand » groupe de « petits » joueurs.
We introduce and study mathematically a new class of mean-field-game systems of equations. This class of equations allows us to model situations involving one major player (or agent) and a “large” group of “small” players.
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@article{CRMATH_2018__356_8_886_0, author = {Lasry, Jean-Michel and Lions, Pierre-Louis}, title = {Mean-field games with a major player}, journal = {Comptes Rendus. Math\'ematique}, pages = {886--890}, publisher = {Elsevier}, volume = {356}, number = {8}, year = {2018}, doi = {10.1016/j.crma.2018.06.001}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.06.001/} }
TY - JOUR AU - Lasry, Jean-Michel AU - Lions, Pierre-Louis TI - Mean-field games with a major player JO - Comptes Rendus. Mathématique PY - 2018 SP - 886 EP - 890 VL - 356 IS - 8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.06.001/ DO - 10.1016/j.crma.2018.06.001 LA - en ID - CRMATH_2018__356_8_886_0 ER -
%0 Journal Article %A Lasry, Jean-Michel %A Lions, Pierre-Louis %T Mean-field games with a major player %J Comptes Rendus. Mathématique %D 2018 %P 886-890 %V 356 %N 8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.06.001/ %R 10.1016/j.crma.2018.06.001 %G en %F CRMATH_2018__356_8_886_0
Lasry, Jean-Michel; Lions, Pierre-Louis. Mean-field games with a major player. Comptes Rendus. Mathématique, Tome 356 (2018) no. 8, pp. 886-890. doi : 10.1016/j.crma.2018.06.001. http://archive.numdam.org/articles/10.1016/j.crma.2018.06.001/
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