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For the given problems, we solve step by step manually. --- (a) Reduce the game using dominance and solve The given payoff matrix (Player A vs Player B) is: [ \begin{array}{c|cc} & B_1 & B_2 \ \hline A_1 & 1 & -3 \ A_2 & 3 & 5 \ A_3 & -1 & 6 \ A_4 & 4 & 1 \ A_5 & 2 & 2 \ A_6 & -5 & 0 \end{array} ] Step 1: Check for dominance among rows (Player A) * Compare (A_1) with others: * (A_5 = (2,2)) dominates (A_1=(1,-3)) because 2≥1 and 2≥-3 with at least one strict >. So eliminate (A_1). * Compare (A_6=(-5,0)) with (A_5=(2,2)): (A_5) dominates (A_6). Eliminate (A_6). * Compare (A_4=(4,1)) with (A_2=(3,5)) and (A_3=(-1,6)): ____ _________ ________ _________ _________ _____ _______ __________ ___ ____ _____.
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