A study commissioned by the Intl. Fed. of Robotics found that 3.6 jobs are created for every robot deployed. The logic is complicated and nets out jobs displaced against jobs saved by not moving offshore, but also shows where new jobs in robotics, and downstream, are actually created. Read a review of the details here or the full Metra Martech study here.
Read a poignant story of the plight of American workers in TheAtlantic.