I disagree, seeing as it's a shortage of women, meaning that multiple men would have to share a female partner. Polyandry is utterly impractical, as men would rather go to war than be stacked up by the women. Sharing is worse/more humiliating than having no wife at all.

Polygyny tends to ensue in societies when there's a shortage of women, because women are the reproductive bottleneck and, therefore, much more valuable. If the women are "underutilized" (sorry for the crude term) the group will not repopulate fast enough. Polyandry, on the other hand, does not result from a shortage of females. Crime and unrest do.