A rubber mixture for vehicle tires which exhibits improved rolling resistance behavior and improved wear properties. The rubber mixture includes: 5 to 100 phr of at least one polymer A of the formula I): 1) F-(P-Y-P-Sx)z-P-Y-P-F, wherein S is sulfur, P is an elastomer polymer chain obtained by the anionic polymerization of a conjugated diene and, optionally, a vinyl aromatic compound in the presence of a diinitiator, Y is a dicarbanion group derived from the diinitiator, x is an integer greater than or equal to 1 independently for each Sx group, on the condition that x is selected from the numbers 2, 3, and 4 for at least one Sx group, z is an integer from 1 to 160, each F is a terminal group independently selected from —H, —SH, —SOH, —SCl, —SO2H and —SO3H, and at least one filler.