Law #1: People will get jobs doing things that computers can’t do.
As Tabarrok points out, a lot of jobs in STEM sectors may eventually be replacable by computers. As Rampell Some Liberal Arts disciplines (and certain disciplines in Business) that emphasize problem solving and people skills may be better-positioned for high value-added jobs 20 years from now than purely quantitative disciplines. I think this partially bodes well for economics majors (except maybe for the people skills part).