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Game Theory 7.0/10

Hawk-Dove

Two animals contest a resource worth V = 2. Hawks fight: against a Dove they take everything, but two Hawks fight at cost C = 4, for expected payoff (V − C)/2 each. Doves split the resource peacefully and flee from Hawks. In the evolutionarily stable strategy, with what probability is Hawk played? Express as a fraction.

Related problems & prerequisites

Worth solving first

Source: Introduced by John Maynard Smith and George Price, 'The Logic of Animal Conflict' (1973). Statement written for AxiomIQ.