Abstract: Abstract: The polymatrix replicator is a system of ordinary differential equations that extends the theory of the replicator and the bimatrix replicator to the study of the dynamics in a stratified population divided in groups where de individuals of each group have a finite number of available strategies to interact with any other individuals of the population. In low dimensions these systems evidence in general a quite trivial asymptotic dynamics. However, recent research shows that strange attractors can occur in 3-dimensional polymatrix replicators. In this work we introduce a one-parameter family of polymatrix replicators defined in the 3-dimensional cube and study its bifurcations. In particular we describe the occurrence of strange attractors in a parameter interval. This is joint work with Alexandre A. Rodrigues, University of Porto.