Question

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?

Q: Answer-Consider the game: Let p=probability prey is active and q=probability Predator is active. What...

Payoff of pred when Playing active is 2p91-p When playing passive is 3p-1-p. Payoffs should be equal since the pred should be indifferent. Hence solving for p we get p1011. Solving in a similar way we get q57. Mixed strategy Nash equilibrium is p1011 q57.