"Tost’s research shows, may help individuals recognize the privileges they enjoy as part of a dominant group, as long as they also believe they’ve experienced disadvantages as members of other, subordinate groups (and thus can identify with people who feel disadvantaged in comparison with them). White women overall, for instance, are more likely than white men to view themselves as beneficiaries of racial privilege; they get it because they, too, have had to deal with discrimination."
White men can't be part of a group that experiences discrimination? What if they're old or young? Have a disability? Are part of the certain ethnic or religious groups, e.g. Jews? Are gay, bisexual or have some other sexual orientation? Who's discriminated against isn't a competition. But all people are judged and get treated how they do in part because of superficial factors (and the prejudices associated with them). At least sometimes.
As referenced by another comment, this article was enlightening: research which suggests that many stereotypes e.g. around race or gender are actually useful priors and improve human decision making when you don't have other, better information:
http://www.rci.rutgers.edu/~jussim/unbearable%20accuracy%20o...