(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.