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Consider the following game between Abigail and Natalie. Abigail faces strategies A & B while Natalie faces strategies C & D. Does either player have

  1. Consider the following game between Abigail and Natalie. Abigail faces strategies A & B while Natalie faces strategies C & D.
    1. Does either player have a dominant strategy?
    2. What is the pure strategy Nash Equilibria of this game.
    3. This game has a mixed strategy Nash Equilibrium. Calculate the probabilities in which both Natalie and Abigail will play their respective strategies in equilibrium. Note: I am only looking for the probabilities - not the expected payoffs.

Natalie

Abigail

C D
A

A: 10

N:16

A: 14

N: 24

B

A: 15

N: 20

A: 6

N: 12

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