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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.

Explain why there cannot be an equilibrium where all animals act as Doves.

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