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Use the following payoff matrix to answer the following questions. Player 2 Stra

ID: 1093901 • Letter: U

Question

Use the following payoff matrix to answer the following questions.

Player 2

Strategy

C

D

Player 1

A

-10, -10

200, -100

B

-100, 220

140, 180

Suppose this is a one-shot game:

a. Determine the dominant strategy for each player, if it exists.

Player 1's dominant strategy:

A
B
A dominant strategy does not exist.


Player 2's dominant strategy:

A dominant strategy does not exist

C

D.


b. Determine the secure strategy for each player, if it exists.

Player 1's secure strategy:

A

A dominant strategy does not exist

B.




Player 2's secure strategy:

A dominant strategy does not exist

C

D.


c. Determine the Nash equilibrium of this game.

(A,D)

(B,C)

(A,C)

(B,D)

Player 2

Strategy

C

D

Player 1

A

-10, -10

200, -100

B

-100, 220

140, 180

Explanation / Answer

a) Player 1's dominant strategy : A

Player 2's dominant strategy : C

b) Player 1's secure strategy : A

Player 2's secure strategy : C

c) Nash eq : (A,C)