Consider the following normal form game:

North East South West

Top (1; 1) (1; 2) (5; 0) (1; 1)

middle (2; 3) (1; 2) (3; 0) (5; 1)

Bottom (1; 1) (0; 5) (3; 7) (0; 1)

a.) Solve the game, if possible via MPDS. Present the solution or write no solution. b.) Solve the game, if possible via IDDS. At each step write down the dominated strategy, and the strategy that dominates the dominated strategy Go as far as you can. Present the solution if possible. c.) Solve the game via Nash Equilibrium