Nonatomic game with general preferences over returns

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’ actions. Our modeling choice has rendered otherwise standard analysis quite fruitful. Not only can we establish equilibrium existence results, but we can also derive the upper hemi-continuity of equilibrium-environment sets with respect to the return function and players’ preference profile. Advances concerning pure equilibria can also be made on a framework involving a rich set of players, cruder traits, and an externality midway between semi-anonymity and anonymity.