A long-term genetic model for the evolution of sexual preference: the theories of Fisher and Zahavi re-examined (Q1871789)

Long-term co-evolution of male's sexual extravagance and female's preference for it is studied. Fisher's ``Sexy Son'' principle is checked against Zahavi's ``Handicap'' principle [\textit{A. Zahavi}, J. Theor. Biol. 53, 205-214 (1977)]. It is shown that although both principles are equally likely to explain this sort of co-evolution in the short run, only the second one allows for a long-term evolutionarily stable females' preference for costly male's extravagance. It is shown, however, that Fisher's argument, although not sufficient on its own to explain long-term persistence of females' choice, may tacitly appear as an indispensable component for the application of Zahavi's theory to the important case of dense polygenous populations.