In many animals, males can generally increase their fitness by mating with many mates, but females cannot produce more offspring than the number of their eggs. In spite of this restriction, females often mate with more than one male. In species without any male-provided resource benefits, females are thought to obtain some `genetic benefits' from males that enhance offspring quality. The evolution of female multiple mating is often confused with the issue of female mate choice, but mate choice is actually possible in the single-mating situation. Therefore, we still need to explain the possible advantage of multiple mating over single mating.