For each of the classic normal-form games (see Figure 3.4), find u1 (s1 , s2 ) and u2 (s1 , s2 ) for s1 = (1/2, 1/2) and s2 = (1/2, 1/2).

FIGURE 3.4 Classic normal-form games. 2 2 H T C D Opera Movie H 1, -1 -1, 1 C 2, 2 0, 3 Opera 2. 1 0.0 T -1, 1 1, -1 D 3, 0 1, 1 Movie 0,0 1, 2 Matching Pennies Prisoners' Dilemma Battle of the Sexes 2 H D A B H 0,0 3, 1 A 1. 1 0, 0 D 1, 3 2, 2 B 0.0 1, 1 Hawk-Dove/Chicken Coordination 2 A B D P D A 2, 2 0,0 P 4. 2 2, 3 B 0,0 1, 1 D 6.-1 0, 0 Pareto Coordination Pigs