Question: Consider the following payoff matrix. P 1 P 2 C D A 3, 0 2, 3 B 0, 5 4, 2 a. What is the

Consider the following payoff matrix.

P 1

P 2

C

D

A

3, 0

2, 3

B

0, 5

4, 2

a. What is the pure strategy Nash Equilibrium? (You may select multiple options, but there is a penalty for incorrect options. So, selecting all will not get you full credit.)

b. i.Find the mixed-strategy Nash equilibrium. TYPE YOUR ANSWERS BELOW IN FRACTION FORMAT (e.g. write 1/2 --do not insert space--rather than 0.5 or other representations). DO NOT USE PARENTHESES OR QUOTATION MARKS, JUST TYPE IN THE CORRESPONDING PROBABILITY IN FRACTION FORMAT.

Answer:At the mixed strategy Nash equilibrium, Player 1 plays A with probability of (Answer) and B with probabilityof (Answer); Player 2 plays C with probability(Answer) and D with probability(Answer)

b. ii.What is the probability that the outcome of the game will be(A, C)?Answer

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