Responsive Web Design provides better site performance for small screens, mobile users, tablets etc., It will help you in decreasing bounce rate. Every site needs back links for getting search engine traffic. If you have different sites for different resources like mobiles, desktop etc. then you need to create back links for each website for getting search engine traffic. Instead of this you could develop a Responsive Web Design designed website for every screen resolution either small or large. It means you can create a set of links for one responsive website.
Responsive websites are new and I like these webdesign and I am also glad to read these wonderful SEO benefits. I will try.