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The Hawk-Dove game serves as a model for conflict resolution in evolutionary game theory, wherein players 1 and 2 have the option of employing either
Question

The Hawk-Dove game serves as a model for conflict resolution in evolutionary game theory, wherein players 1 and 2 have the option of employing either an aggressive (Hawk) or a peaceful (Dove) strategy. The diverse interaction scenarios and their corresponding payoffs (P, Q, R, S) are presented in the following matrix:

If the value of the resource (the benefit), the cost of losing a fight in the above matrix, which one of the following options correctly represents the payoffs?

A.

P = , Q = 0, R = (V/2), S = (V-C)/2

B.

P = (V-C)/2, Q = , R = 0, S = (V/2)

C.

P = , Q = 0, R = (V-C)/2, S = (V/2)

D.

P = (V/2), Q = (V-C)/2, R = , S = 0

Correct option is B

When Hawk meets Hawk: Each has 50% chance of winning and 50% chance of losing → payoff = (V −
C)/2
•When Hawk meets Dove: Hawk gets full benefit (V), Dove gets 0
•When Dove meets Hawk: Dove gets 0, Hawk gets V
•When Dove meets Dove: Resource shared equally → V/2 each
So, correct payoff matrix:
P = (V − C)/2, Q = V, R = 0, S = (V/2)

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