(Optional) Recall the game from Exercise S11 in Chapter 4, where Larry, Moe, and Curly can choose to buy tickets toward a prize worth $30. We found six pure-strategy Nash equilibria in that game. In...

(Optional) Recall the game from Exercise S11 in Chapter 4, where Larry, Moe, and Curly can choose to buy tickets toward a prize worth $30. We found six pure-strategy Nash equilibria in that game. In this problem, you will find a symmetric equilibrium in mixed strategies.

(a) Eliminate the weakly dominated strategy for each player. Explain why a player would never use this weakly dominated strategy in his equilibrium mixture.

(b) Find the equilibrium in mixed strategies.