A pneumatic vehicle tire is configured for mounting on a rim. The tire includes a bead region having a bead core disposed therein and a side wall. A carcass insert extends around the bead region and has a turn-up extending in the direction of the side wall. A rim rubber forms an outer surface of the bead region and includes a first rim rubber part made of an electrically non-conductive rubber mixture and a second rim rubber part made of an electrically conductive rubber mixture. The second rim rubber part runs within the tire and forms an electrically conductive connection to the rim while the first rim rubber part extends beyond the rim flange and is in contact with the rim flange. The first rim rubber part is made of a rubber mixture having a low hysteresis.