ABSTRACT
There are two players in this game, and we call them “Row” and “Column”. Both players know all of the entries in the matrix. To play the game, Row secretly chooses a row (there are two choices available to her), and Column secretly — and independently — chooses a column (there are three choices available to him). Then the two players simultaneously reveal their choices. This identifies one particular entry in the matrix. For example, if Row chooses row 2 and Column chooses column 1, the entry “6” in the lower left entry is identified. This entry represents the number of dollars that Column must pay to Row: On the other hand, if the entry were negative, like the −12 in the upper left, then Row would have to pay Column. If Row selects her first row and Column selects his first column, then Row must pay Column $12.
