What if it is zero sum, or at least, approaching that? There are two phenomena going on that make me contemplate this; double income household normalization, and a somewhat sticky total # of jobs. As women further enter the workforce, the mean household income will trend towards double income, and the labor pool will be contested with more applicants, in both cases rendering a male applicant at a substantial disadvantage (comparatively to history).
The way one could rebut this would be to suggest that this inflation hasn't taken place, and that the total # of jobs has scaled accordingly.
A brief search hasn't turned up anything on my end, so don't take this musing as any more than posing questions. My pessimism lends me to think that the conflict I summarized above will be a rallying call for certain groups on both sides of the fold for many years to come; recent political discourse does not lend me hope for a broad view of "togetherness".