So they were like really including her as part of the classroom.

孩子们似乎把,她也算做他们的成员之一。

麻省理工公开课 - 媒体、教育、市场课程节选

So Player i's payoff "Ui," depends on all the choices in the class, in this case, including her own choice. Of course, a shorter way of writing that would be "Ui," it depends on the profile.

参与人i的收益Ui,由所有参与人的策略决定,当然也包括她自己的策略,简写应该是Ui,它由策略组合决定

耶鲁公开课 - 博弈论课程节选