ECO 355 Game Theory I need a right answer of this problem Mo

ECO 355 Game Theory I need a right answer of this problem.

Moving to another question will save this response. Question2 A 10,0 0,10 3,3 Player B 2,0 10,2 6A C 3,3 4,6 6,6 Consider the strategic form game above. Select all that apply. Strategy C is weakly dominated by strategy B. Strategy B is a best response to strategy F Strategy E is a dominant strategy. Strategy E dominates strategy D. Moving to another question will save this response.

Solution

If we look at the pay-off table, it can be seen that whatever be the strategy adopted by the Player 1, strategy E always lead to greater pay-off for Player 2 in comparison to Strategy D.

So, Strategy E dominates Strategy D.

If Player 2 adopts Strategy D then best response for Player 1 is Strategy A.

If Player 2 adopts Strategy E then best response for Player 1 is Strategy B.

If Player 2 adopts Strategy F then best response for Player 1 is either Strategy B or Strategy C.

So, in a sense, Strategy C is weakly dominated by the Strategy B.

Hence, the correct answer is the option (1) and (4).