The article addresses this. Men are just as picky in this area:

"It's not just women, both men and women are unlikely to date and marry across those lines. It just doesn't matter for the men because the pool of educated women is so vast that their own classism doesn't really punish them. But being unwilling to consider working-class guys affects women in ways that it doesn't affect men. It's totally unfair, and I get that, but it's not like only the women are choosy and the men are all open-minded."

That's what assortative mating is all about:

http://www.economist.com/news/united-states/21595972-how-sex...