construct bayesian nash equilibrium in which player 1 plays U with probability 1.

1. Two players, named 1 and 2, play the following game: In the payoff matrix, 5 is a number drawn from the uniform distribution over [0,1]. The distribution of 5 is common knowledge but its realization is known only to player 2. Thus, 5 can be Viewed as a type for player 2. Now we seek to identify Bayesian Nash equilibria of this game