2. (30 pts) Consider a game with Alice and Bob being the players. The available actions are {h, d} for Alice and { H, D} for Bob. Alice has payoffs given by H D h 0 4 d 1 3 Bob can be of either type t or t2. If Bob is of type t1 payoffs are H D h 0 H d 4 3 while payoffs are H D h 3 1 d 4 3 if Bob is of type t2. Let p be the probability that Bob is type t1. 1. (5 pts) What is the strategy set for Alice and Bob. 2. (10 pts) For p = ; write down the normal form payoff bi-matrix. 3. (5 pts) Find all strictly dominated strategies. 4. (10 pts) Find all Nash equilibria, including any equilibrium involving mixed strategies