game theory

2. (30 points) The following questions relate to the Bayesian extensive- form game given on the next page. U 5) 1 (a) (15 points) Convert this game into Bayesian normal form. (b) (15 points) Find a pure-strategy Bayesian Nash equilibrium of this game. 3,1 A X D 1/2 - 2 1 15 Nature - - 1/2 I 5,3 3, 1 B y D Game Tree for Problem 2