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2. Consider the payoff matrix below. The first number in each cell represents A's payoff, and the second number represents B's payoff, i.e. (?A, ?B). Player B B1 B2 B3 B4 B5 A1 17, 2 7, 1 5, 4 6, 3 15, 6 A2 8, 4 10, 6 6, 3 8, 5 6, 3 A3 6, 4 5, 8 8, 7 12, 9 11, 8 Player A A4 12, 3 4, 8 10, 10 4, 7 5, 1 A5 5, 8 2, 10 7, 12 7, 6 13, 5 a) What strategies of A's are dominated? What strategies of B's are dominated? b) When A and B move simultaneously, what are the Nash equilibrium pairs of actions for A and B? c) Alter the payoffs in the matrix so that the simultaneous-move game has a unique Nash equilibrium. Provide your answer in a way that makes it easy for me to see what payoffs you have changed. d) Suppose that the game is played sequentially, and A moves first. What is the sequence of actions selected by players A and B? You must explain how you identified your answer; a game tree can be part of your explanation, but a tree is not necessary.

          2. Consider the payoff matrix below. The first number in each cell represents A's payoff, and the second number represents B's payoff, i.e. (?A, ?B).

Player B
B1 B2 B3 B4 B5
A1 17, 2 7, 1 5, 4 6, 3 15, 6
A2 8, 4 10, 6 6, 3 8, 5 6, 3
A3 6, 4 5, 8 8, 7 12, 9 11, 8
Player A A4 12, 3 4, 8 10, 10 4, 7 5, 1
A5 5, 8 2, 10 7, 12 7, 6 13, 5

a) What strategies of A's are dominated? What strategies of B's are dominated?
b) When A and B move simultaneously, what are the Nash equilibrium pairs of actions for A and B?

c) Alter the payoffs in the matrix so that the simultaneous-move game has a unique Nash equilibrium. Provide your answer in a way that makes it easy for me to see what payoffs you have changed.
d) Suppose that the game is played sequentially, and A moves first. What is the sequence of actions selected by players A and B? You must explain how you identified your answer; a game tree can be part of your explanation, but a tree is not necessary.

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2. Consider the payoff matrix below. The first number in each cell represents A's payoff, and the second number represents B's payoff, i.e. (?A, ?B).

Player B
B1 B2 B3 B4 B5
A1 17, 2 7, 1 5, 4 6, 3 15, 6
A2 8, 4 10, 6 6, 3 8, 5 6, 3
A3 6, 4 5, 8 8, 7 12, 9 11, 8
Player A A4 12, 3 4, 8 10, 10 4, 7 5, 1
A5 5, 8 2, 10 7, 12 7, 6 13, 5

a) What strategies of A's are dominated? What strategies of B's are dominated?
b) When A and B move simultaneously, what are the Nash equilibrium pairs of actions for A and B?

c) Alter the payoffs in the matrix so that the simultaneous-move game has a unique Nash equilibrium. Provide your answer in a way that makes it easy for me to see what payoffs you have changed.
d) Suppose that the game is played sequentially, and A moves first. What is the sequence of actions selected by players A and B? You must explain how you identified your answer; a game tree can be part of your explanation, but a tree is not necessary.

Added by Aitor Y.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jason Horton

Step 1

For player A, we can see that A1 is dominated by A2, since A2 has better payoffs in all columns. Similarly, A4 is dominated by A3, since A3 has better payoffs in all columns. For player B, we can see that B1 is dominated by B3, since B3 has better payoffs in all Show more…

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Consider the payoff matrix below. The first number in each cell represents A's payoff, and the second number represents B's payoff, i.e: (TA, Tb) Player B B1 B2 B3 B4 B5 A1 17, 2 7, 1 5, 4 6, 3 15, 6 A2 8, 4 10, 6 6, 3 8, 5 6, 3 A3 6, 4 5, 8 8, 7 12, 9 11, 8 A4 12, 3 4, 8 10, 10 4, 7 5, 1 A5 5, 8 2, 10 7, 12 7, 6 13, 5

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