Intuitively, the idea of this extension is that before playing the game, the players all adopt ``personas" that determine how they will act in the game. By changing her choice of persona, a player will induce the other players to make different choices in the game. In particular, sometimes by adopting a bounded rational persona, a player i will induce the other players to change their choices in a way that benefits i. When that is the case, player i's adopting that ``bounded rational'' persona is actually optimal for i.
As particular illustrations, I show how such persona games can explain some experimental observations concerning the prisoner's dilemma, the ultimatum game, and the traveler's dilemma game. I also discuss the possible implications of persona games for evolutionary biology, for the concept of social intelligence, and for distributed control of systems of systems.