Question 1: (10 points) Consider the following game, where player A has strategies Up and Down, while player B has strategies Left and Right.

Question 1: (10 points)

Consider the following game, where player A has strategies Up and Down, while player B has strategies

Left and Right.

a) Solve for the Nash equilibrium(s) of this game, and circle the payoff. Do players A or B

have a dominant strategy?

b) Write out the sequential form of this game, assuming player A moves first. Solve for the

subgame perfect equilibrium outcome, and circle the payoff.

c) Now, write out the sequential form of this game, assuming player B moves first. Solve for

the subgame perfect equilibrium outcome, and circle the payoff.