After a brief review of some aspects of current evolutionary theory which bear on the explanation of human social behaviour, the question is raised whether a recognizably neo-Darwinian research programme could be designed for sociology on the basis that social change is seen as a process analogous but not reducible to natural selection. Some implications of such a programme are outlined and the strength of the objections likely to be raised against it assessed. In conclusion, the potential value of the paradigm is illustrated by reference to current debates about the incidence of lethal violence in human societies.