Silica-containing rubber mixture produced from at least one rubber, one sulphur-containing alkoxysilane, one crosslinking agent, one filler, and optionally further rubber auxiliary products, characterized in that this mixture comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of a polysulphide additive of the formula where x is 0, 1 or 2, Y is an aliphatic, cycloaliphatic or aromatic group that is optionally substituted or else comprises heteroatoms and A is a moiety where R 1 to R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5,-COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, or A is a moiety in which R 1 and R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5,-NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, or A is a moiety in which R 1 to R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5 - NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl and R 6 is hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl and y is 0, 1 or 2, or, if Y is -(CH 2) 6 - and x is 0, A is in which R 8 and R 9 are mutually independently hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -CH 2 -COOR 5, -CH 2 -CH 2 COOR 5 and R 8 and R 9 can also optionally form a ring together with the respective nitrogen atom, and R 5 is defined as above, where both moieties A of the compound of the formula I can be identical or different, and at least one of the moieties R 8 and R 9 on one of the moieties A comprises one or more oxygen atoms, and comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of 1,6-bis(N,N-dibenzylthiocarbamoyldithio)hexane (CAS No.: 151900-44-6). Y is an aliphatic, cycloaliphatic or aromatic group that is optionally substituted or else comprises heteroatoms and A is a moiety where R 1 to R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5,-COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, or A is a moiety in which R 1 and R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5,-NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, or A is a moiety in which R 1 to R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5 - NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl and R 6 is hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl and y is 0, 1 or 2, or, if Y is -(CH 2) 6 - and x is 0, A is in which R 8 and R 9 are mutually independently hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -CH 2 -COOR 5, -CH 2 -CH 2 COOR 5 and R 8 and R 9 can also optionally form a ring together with the respective nitrogen atom, and R 5 is defined as above, where both moieties A of the compound of the formula I can be identical or different, and at least one of the moieties R 8 and R 9 on one of the moieties A comprises one or more oxygen atoms, and comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of 1,6-bis(N,N-dibenzylthiocarbamoyldithio)hexane (CAS No.: 151900-44-6). R 8 and R 9 are mutually independently hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -CH 2 -COOR 5, -CH 2 -CH 2 COOR 5 and R 8 and R 9 can also optionally form a ring together with the respective nitrogen atom, and R 5 is defined as above, where both moieties A of the compound of the formula I can be identical or different, and at least one of the moieties R 8 and R 9 on one of the moieties A comprises one or more oxygen atoms, and comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of 1,6-bis(N,N-dibenzylthiocarbamoyldithio)hexane (CAS No.: 151900-44-6).