Consider the game:
Let p=probability prey is active and q=probability Predator is active. What is the mixed strategy Nash equilibrium for the game?
Payoff of pred when Playing active is 2p+9(1-p); When playing passive is 3p-(1-p). Payoffs should be equal since the pred should be indifferent. Hence solving for p we get p=10/11. Solving in a similar way we get q=5/7. Mixed strategy Nash equilibrium is p=10/11; q=5/7.
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