[ noun ] having more than one wife at a time <noun.state>
Polygyny \Po*lyg"y*ny\, n. [Poly- + Gr. ? woman, wife.] The state or practice of having several wives at the same time; marriage to several wives. --H. Spenser.
The unsurprising result is polygyny (multiple matings by men), mostly serial. The female search for men with significant earning potential matches the male yearning for younger partners.