Polymeric reaction products are obtained by reactingI) prepolymers obtained fromA) polyoxyalkylenes which have an average molecular weight M.sub.n of from 140 to 10,000 and contain on average from 1.5 to 3.0a.sub.1) primary or secondary amino groups ora.sub.2) epoxy groups per molecule andB) polymers which are based on conjugated dienes, have an average molecular weight M.sub.n of from 250 to 50,000 and contain on average from 1.5 to 3.0b.sub.1) primary or secondary amino groups orb.sub.2) epoxy groups per molecule, the components (a.sub.1) and ( b.sub.2) or (a.sub.2) and (b.sub.1) being reacted with one another so that from at least an amino equivalent excess to 3 amino equivalents of component (a.sub.1) or (b.sub.1) are present per epoxide equivalent of component (a.sub.2) or (b.sub.2), withII) at least one compound which forms free radicals.