Question: Two opposing armies, Red and Blue, must each decide whether to attack or defend. These decisions are made without knowledge of the opposing army's decision.

Two opposing armies, Red and Blue, must each decide whether to attack or defend. These decisions are made without knowledge of the opposing army's decision. The payoff table, in terms of value of property gained or lost for the Red Army, appears below. Any gains for the Red Army are losses for the Blue Army.

a. What is the optimal mixed strategy for the Red Army?
b. What is the optimal mixed strategy for the Blue Army?

Blue Army Attack Defend Red Army Attack Defend 30 40 50 0

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