With respect, O thou sage and mighty Moderator
Polygamy is defined as " marriage in which a spouse of either sex may have more than one mate at the same time"
Polyandry is defined as " the state or practice of having more than one husband or male mate at one time"
Polygyny is defined as "the state or practice of having more than one wife or female mate at a time"
if the Merriam-Webster dictionary can be trusted.