Gene-culture interactions have largely been modelled employing population genetic-type models. Moreover, in the most notable application to date, the "interactive" modes have been one way rather than bidirectional. This paper suggests using game theoretic, fully interactive models. Employing the logic utilized in population ecology for coevolution between two species, the basic kinds of coevolutionary interactions possible between biological and sociocultural strategies are mutualism, in which both are favored to match; competition, in which they are favored to unmatch; and antagonism, in which one is favored to match and the other to unmatch, in two possible ways. Hypothetical examples based on life history characteristics, ones emphasizing the importance of the mode of cultural transmission, and possible complications are discussed. (Contains 3 tables.)