Consider the following game between player 1, who chooses among strategies row 1

Question

Consider the following game between player 1, who chooses among strategies row 1, row 2, and row 3, and player 2, who chooses among strategies column 1, column 2, column 3, and column 4 (in the table, payoffs for player 1 are expressed first):

Column 1

Column 2

Column 3

Column 4

Row 1

2,3

2,1

5,2

6,1

Row 2

1,1

10,0

3,0

4,4

Row 3

1,2

10,1

4,5

8,0

Using the technique of iterated elimination of dominated strategies, we obtain that the most reasonable prediction(s) in this game is (are)

Player 1 will choose row 3 and player 2 will choose column 3

Player 1 will choose row 1 and player 2 will choose column 2

Player 1 will choose row 1 and player 2 will choose column 1

None of the above=

Column 1

Column 2

Column 3

Column 4

Row 1

2,3

2,1

5,2

6,1

Row 2

1,1

10,0

3,0

4,4

Row 3

1,2

10,1

4,5

8,0

Explanation / Answer

none of the above

C1,C3 dominates C2,C4

R1 dominates R2,R3

so the answer is either (R1,C1) or (R1,C3)

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