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EXERCISE 16.1 (Hermaphroditic fish) Members of some species of hermaphroditic

fish choose, in each mating encounter, whether to play the role of a male or a female. Each fish has a preferred role, which uses up fewer resources and hence allows more future mating. A fish obtains a payoff of Hif it mates in its preferred role and Lif it mates in the other role, where H>L. (Payoffs are measured in terms of number of offspring, which fish are evolved to maximize.) Consider an encounter between two fish whose preferred roles are the same. Each fish has two possible actions: mate