Two players receive a ticket t each on which there is a number in [0,1]. The number on a player's ticket is the size of the prize he may receive. THe two prizes are identically and independently distributed according to a uniform distribution. Each player is asked independently and simultaneously whether he wants to exchange his prize for the other player's prize. If both players agree then prizes are exchanged; otherwise each player receives his own prize. Find the Bayesian Nash Equilibrium of this game.