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Alright, let's go step-by-step. --- ## 1. Understanding the payoff matrix From your description, it seems Player A is the row player and Player B is the column player. The given payoff matrix (from Player A’s perspective) is: \[ \begin{bmatrix} 1 & -1 & -3 \\ 3 & 5 & -2 \\ 6 & 2 & ? \end{bmatrix} \] But wait — I see the third row third column entry is blank. Let’s double-check your text. You wrote: > B_1 B_2 B_3 > A_1 1 -1 -3 > A_2 3 5 -2 > A_3 6 2 ____ Yes, last cell is missing. Possible typo? In zero-sum games, we need a full matrix. For the moment, maybe B_3 column has only two values listed because in your formatting it might be: Actually looking again: You wrote: > B_1 > 1 > 3 > 6 > B_2 > -1 > 5 > 2 > B_3 > -3 > -2 So only two entries under B_3 column? That suggests the matrix is \(3 \times 2\)? Or is B_3 missing one entry for A_3? Usually a pay-off matrix is rectangular with all rows same length. Likely a formatting issue: the "-3 -2" is under A_1 and A_2, ____ __________ _________ ________ ______ _____ _________ _______ _______ _________ ______ _____.
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