Homopolymers, copolymers or block copolymers are prepared by anionic polymerization of acrylates and/or methacrylates in the presence of an initiator composition containing A) an organic alkali metal compound, B) an organic aluminum compound and C) an additive which forms a complex with the alkali metal cation and is selected from the group consisting of open-chain ethers having at least two ether oxygen atoms, macrocyclic ethers and cryptands, or from the group consisting of quaternary cations of the general formula I  where A is N, P, As or Sb and Ra, Rb, Rc and Rd, independently of one another, are each unsubstituted or substituted alkyl, cycloalkyl, aralkyl or aryl, where two neighboring radicals, together with the heteroatom A, may form a 5- or 6-membered heterocyclic structure which may contain one or two further heteroatoms selected from nitrogen, oxygen and sulfur atoms.