Elastomers which have excellent stability to prevent oxidative, thermal, dynamic, light-induced and/or ozone-induced degradation comprise, as stabilizers, at least one compound of the formula (I): [R—S(═O)m—CH2—CH(OH)—CH2]n—N(R1)2−n—R2, in which R is C4-C20alkyl, hydroxyl-substituted C4-C20alkyl; phenyl, benzyl, &agr;-methylbenzyl, &agr;,&agr;-dimethylbenzyl, cyclohexyl or —(CH2)qCOOR3, and, if m is 0, R may additionally be (a); and, if n is 1 and R4 is hydrogen, R may additionally be R2—R1N—CH2—CH(OH)—CH2—S(═O)m—(CH2)x— or R2—R1N—CH2—CH(OH)—CH2—S(═O)m—CH2—CH2—(OCH2—CH2)y—, R1 is hydrogen, cyclohexyl or C3-C12alkyl, R2 is (b), R3 is C1-C18alkyl, R4 is hydrogen or —CH2—CH(OH)—CH2—S(═O)m—R, X is C1-C8alkyl, Y is C1-C8alkyl, m is 0 or 1, n is 1 or 2, q is 1 or 2, x is from 2 to 6, and y is 1 or 2. The compounds of the formula (I) are also suitable as stabilizes for elastomers to prevent contact discoloration of substrates coming into contact with elastomers.