3. Pure strategy Row min Column max 1 2 3 4 1 2 3 Player B Player A Maximin = 4 Minimax = 4 Optimal strategy = (2,2) Saddle point. Value of the game = 4 -3 6 -3 2 6 7 7 4 4 1 8 4 7 6 4 5 8 1 7
4.
5. No dominant strategy Row min Column max 1 2 3 1 2 3 Player A Maximin = 0 Minimax = 0 Optimal strategy = (2,2) Saddle point. Value of the game = 0 Fair game Player B -4 -4 -2 5 0 -3 6 0 5 2 0 2 6 -2 -3
6. Mixed strategy Row min Column max 1 2 3 1 2 Player A Maximin = 2 Minimax = 5 Player B Maximin ≠ Minimax No saddle point, unstable solution Maximin ≤ Value of the game ≤ Minimax 11 5 8 2 1 2 5 8 11 3 1