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Assume a Hawk -Dove game with the following payoff matrix, where the first entry is Animal A's payoff, and the second entry is Animal B's

  1. Assume a Hawk -Dove game with the following payoff matrix, where the first entry is Animal A's payoff, and the second entry is Animal B's payoff:

Animal A (rows)/Animal B (columns)

Hawk

Dove

Hawk

(-5,-5)

(10,0)

Dove

(0,10)

(4,4)

An animal that plays Hawk will always fight until it wins or is badly hurt. An animal that plays Dove makes a bold display but retreats if his opponent starts to fight. If two Dove animals meet they share.

a) Explore whether there are any Nash equilibria in pure strategies and explain which these are and why. (3 marks)

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