Consider a two-player zero-sum game where player 1 can choose strategy A or strategy B, and player 2 can choose strategy C or strategy D. The payoff matrix is given as follows:

	C	D
A	2	1
B	3	4

(a) Write down the mixed strategy for each player.

(b) What is the expected payoff for player 1 and player 2 in the Nash equilibrium of the game?

(c) Is the Nash equilibrium a Pareto optimal outcome? Explain why or why not.

Show all calculations and give your answer in full details.

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