In eusocial species, some individuals sacrifice their own reproduction for the benefit of others. The evolutionary transition towards eusociality may have been facilitated by ancestral species having a monogamous mating system (the monogamy hypothesis) or a haplodiploid genetic system (the haplodiploidy hypothesis), or it may have been entirely driven by other (ecological) factors. Here we show, using a model that describes the dynamics of insect colony foundation, growth and death, that monogamy and haplodiploidy facilitate the evolution of eusociality in a novel, mutually reinforcing way. Our findings support the recently questioned importance of relatedness for the evolution of eusociality, and simultaneously highlight the importance of ...