Evolutionary game theory and the adaptive dynamics approach have made invaluable
contributions to understanding how gradual evolution leads to adaptation when individuals …

This paper reviews and addresses a variety of issues relating to inclusive fitness. The main
question is: are there limits to the generality of inclusive fitness, and if so, what are the …

Dispersal determines gene flow among groups in a population and so plays a major role in
many ecological and evolutionary processes. As gene flow shapes kin structure, dispersal is …

The evolutionary stability of quantitative traits depends on whether a population can resist
invasion by any mutant. While uninvadability is well understood in well-mixed populations, it …

A long-standing question in biology and economics is whether individual organisms evolve
to behave as if they were striving to maximize some goal function. We here formalize this “as …

From protists to primates, intergroup aggression and warfare over resources have been
observed in several taxa whose populations typically consist of groups connected by limited …

Darwinian evolution consists of the gradual transformation of heritable traits due to natural
selection and the input of random variation by mutation. Here, we use a quantitative genetics …

Following the work of Hamilton on kin selection (Hamilton, 1964) and Maynard Smith and
Price on game theory in evolutionary biology (Maynard Smith and Price, 1973) …

We derive how directional and disruptive selection operate on scalar traits in a
heterogeneous group-structured population for a general class of models. In particular, we …

Cooperative interactions between species, termed mutualisms, play a key role in shaping
natural ecosystems, economically important agricultural systems, and in influencing human …