The custom of having more than one husband at the same time

Solution (By Examveda Team)

One word substitute is Polyandry.

Polygamy: the practice or custom of having more than one wife or husband at the same time.
Polyandry: polygamy in which a woman has more than one husband.
Debauchery: excessive indulgence in sex, alcohol, or drugs.
Bigamy: the offence of marrying someone while already married to another person.