Polygyny is a polygamous mating system where a male has multiple female partners during the breeding season. This is the more common form of polygamy.

Bluehead Wrasse form polygynous
harems


Polygynous males, like slimy sculpins (Cottus cognatus), setup territories and are visited by multiple females. Other polygynous males, like some African cichlids (such as Mchenga eucinostomus), form leks, where they congregate and perform breeding displays to attract female passers-by. And still other polygynous males, like wrasses (Labridae), form harems where a large male protects a number of females with which he, alone, can mate. See polygamous;   polyandry. (fishionary.fisheries.org/polygyny)