The invention relates to elastic expanded polymer foams and also a process for producing expanded polymer foams by sintering a mixture comprising foam particles P1 and P2 composed of different thermoplastic polymers or polymer blends, wherein the foam particles P1 are obtained by prefoaming expandable, thermoplastic polymer particles comprising A) from 45 to 97.9 percent by weight of a styrene polymer, B1) from 1 to 45 percent by weight of a polyolefin having a melting point in the range from 105 to 140° C., B2) from 0 to 25 percent by weight of a polyolefin having a melting point below 105° C., C1) from 0.1 to 25 percent by weight of a styrene-butadiene or styrene-isoprene block copolymer, C2) from 0.0 to 10 percent by weight of a styrene-ethylene-butylene block copolymer, D) from 1 to 15 percent by weight of a blowing agent, E) from 0 to 5 percent by weight of a nucleating agent, where the sum of A) to E) is 100% by weight.