The development of a theory of kin selection has proceeded along two lines. Inclusive-fitness models have implicitly assumed that sel~tion is weak, whereas exact-population genetic models place no constraints on the strength of selection. Several examples are presented showing that qualitatively new behavior has emerged from the exact models. However, for many problems, the exact-population and inclusive-fitness models often yield identical results. Unfortunately, it is not possible to identify a priori those problems that can be handled sufficiently by the simpler inclusive-fitness models. The initial increase of cooperative behavior in a population of egoists involves diiculties similar to the Initial increase of altruism. Clustering of c...