So i have this question:
I see the matrix is reduced by dominant strategies.
However I do not understand the 'elimination by dominant strategies' that the answer sheet imposes.
It says that the third column is dominated by the second column. But shouldn't the second column be dominated by the third, the reason for which the third column disappears?
Then , with the remaining matrix, the second row is dominated by the third row. Then shouldn't the third row by eliminated ?
What am i missing?
The payoffs in the matrix are all from the row player's point of view. The column player always likes column 2 better than column 3 (since entry-by-entry the column 2 values are better for the column player than the column 3 values). So the column player would never play column 3.