In a Bayesian game, players are uncertain about the payoffs of the game, what other players believe are the correct payoffs, what other players believe that the other players believe about the payoffs, and so on, and this is the only source of uncertainty. That is, the players’ (higher-order) beliefs about the payoffs in a game completely determine the (higher-order) beliefs about the other aspects of the game. In particular, if a player comes to know the payoffs of the other players, then that player is certain (and correct) about the possible (rational) choices of the other players.[3]