The evolution of cannibalistic traits in consumer populations is studied in this paper with the approach of Adaptive Dynamics theory. The model is kept at its minimum complexity by eliminating some environmental characteristics, like heterogeneity and seasonalities, and by hiding the size-structure of the population. Evolutionary dynamics are identified through numerical bifurcation analysis, applied both to the ecological (resident-mutant) model and to the canonical equation of Adaptive Dynamics. The result is a rich catalogue of evolutionary scenarios involving evolutionary stable strategies and branching points both in the  monomorphic and dimorphic dynamics. The possibility of evolutionary extinction of highly cannibalistic populations is also ascertained. This allows one to explain why cannibalism can be a transient stage of evolution.