Hamilton's missing link.
Hamilton's famous rule was presented in 1964 in a paper called "The genetical theory of social behaviour (I and II)", Journal of Theoretical Biology 7, 1-16, 17-32. The paper contains a mathematical genetical model from which the rule supposedly follows, but it does not provide a link between the paper's central result, which states that selection dynamics take the population to a state where mean inclusive fitness is maximized, and the rule, which states that selection will lead to maximization of individual inclusive fitness. This note provides a condition under which Hamilton's rule does follow from his central result.
van Veelen
Matthijs
M
CREED, Universiteit van Amsterdam, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands. C.M.vanVeelen@uva.nl
D000533:Altruism; D000818:Animals; D005075:Biological Evolution; D005716:Game Theory; D005828:Genetics, Population; D006801:Humans; D008957:Models, Genetic; D012641:Selection, Genetic