Quote Originally Posted by Autumn
Polygamy- form of marriage in which a person [has] more than one spouse.

The three common forms of Polygamy are ..

1. Polygyny - the situation in which one man is either married to or involved in sexual relationships with a number of different women at one time.

2. Polyandry- a practice where a woman is married to more than one man at the same time.

3. Group marriage- where more than one man and more than one woman form a single family unit, and all members of the marriage share parental responsibility for any children arising from the marriage

... NOTE: Before you try to own me, make sure you have all your facts straight.

It is polygamy.
Polygamy would, indeed, be the more general term. However, unless you're into women, it's still polyandry. The term I suggested is more precise, and my original point still stands.