The u. s. television show sister wives tells the true story of kody brown, a utah man with four wives. existing legal sanctions in the united states prohibit polygamy, including the type of polygamy that brown practiced, which is referred to as

I believe the answer is: polygyny
polygyny refers to a form of poligamy in which one male have more than one female partner/mates.
From all forms of poligamy, polygyny is the most common to be found in the world, especially in middle eastern countries.