Though it mainly affects women, HPV can cause cancer and genital warts in men. Why, then, wouldn't we wan to vaccinate as many men as possible? Because it's not terribly cost effective. Cancer talks, but money talks more loudly. [Forbes]
But, men then pass on the disease to women, and then we become a "burden" to the US healthcare system - not just because of cancer treatment costs, but also all the preventative treatments and tests that so many women with HPV must go through to ensure the cellular abnormalities don't progress to something more serious. And, as the article points out, it also decreases the risk of anal cancer in men with male partners.
I don't see how vaccinating dudes would not be cost-effective.