Recall the mall location game in Exercise S9 in Chapter 3. That three player sequential game has a game tree that is similar to the one for the street–garden game, (a) Draw the tree for the mall...

Recall the mall location game in Exercise S9 in Chapter 3. That three player sequential game has a game tree that is similar to the one for the street–garden game,

(a) Draw the tree for the mall location game. How many strategies does each store have?

(b) Illustrate the game in strategic form and find all of the pure-strategy Nash equilibria in the game.

(c) Use iterated dominance to find the sub game-perfect equilibrium.