We study nonatomic games in which players' choices are guided by general preferences. Rather than ones over actions while also under influences of player-action profiles, we let the preferences be over returns received by individual players and let the returns be then linked to all players'...

We consider a nonatomic game whose players have ambiguities over external factors. On top of a player $i$'s own action $a$ and the joint distribution $\delta$ of other players' identities and actions, also influencing the player's return $r$ is a state of the world $\omega$. Knowledge about the...