An unnecessarily complicated mathematical model

The mathematical model considers a male and a female in a courtship encounter of unspecified duration, with the game ending when one or other party quits or the female accepts the male as a mate. The model assumes that the male is either a ''good'' or a ''bad'' type from the female's point of view, according to his condition or willingness to care for the young after mating. The female gets a positive payoff from mating if the male is a ''good'' male but a negative payoff if he is ''bad'', so it is in her interest to gain information about the male's type with the aim of avoiding mating with a "bad" male. In contrast, a male gets a positive payoff from mating with any female, though his payoff is higher if he is "good" than if he is "bad". Oh, c'mon! Is this how it works? [Add a pic, per JJ's request.]