The present invention relates to comb polymers KP, produced from macromonomers of formula (I) ##STR1## where X represents a group which comes from the initiator system, preferably an alkyl group with 1-50 C atoms; R1 represents an alkyl group with 1-18 C atoms, preferably 1-10 C atoms, particularly preferably 1-4 C atoms; R2 and R3 each represent an alkyl group with 1-8 C atoms; and B represents a terminal alkene group with at least 2 and not more than 12 C atoms; wherewith the compound of formula (I) is converted, by means which are per se known, to a compound of formula (II) which contains an active hydrogen substituent in the terminal position: ##STR2## where X, R1, R2, a, b, and c are as defined above, and a represents the group B modified by introduction of the active hydrogen function; wherewith the compound of formula (II) in turn is acylated to a macromonomer of formula (IV) by a reagent MR which introduces the (meth)acryloyl group: ##STR3## where X, R1, R2, R3, A, a, b, and c are as defined above, and R4 represents hydrogen or methyl; and the macromonomers of formula (IV) thus obtained are converted to the comb polymers KP by radical polymerization with monomers M chosen from the group comprised of: (meth)acrylic acids of C.sub.1 -C.sub.28 -alkanols, functionalized radically polymerizable monomers, vinyl esters of fatty acids and vinylaromatic monomers.