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      Question

      Consider the game:

      src="https://www.ixambee.com/questionimage/Chapter/1645520198-5.PNG" alt="" /> Let p=probability prey is active and q=probability Predator is active. What is the mixed strategy Nash equilibrium for the game?
      A p=12/13, q=7/11 Correct Answer Incorrect Answer
      B p=1/13, q=5/11 Correct Answer Incorrect Answer
      C p=10/11, q=5/7 Correct Answer Incorrect Answer
      D More information needed Correct Answer Incorrect Answer
      E Doesn’t exist Correct Answer Incorrect Answer

      Solution

      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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