Braking system for a vehicle, comprising: - at least two hydraulic brake circuits (BK1, BK2), each with at least one hydraulically acting wheel brake (RB1, RB2, RB3, RB4), - exactly two pressure supply devices (DV1, DV2), which are driven by an electromotive drive (M1, M2), wherein the pressure supply devices (DV1, DV2) each have an electronic control and regulation unit (DV1-ECU, DV2-ECU), - at least one electronic control and regulation unit, wherein one thereof is a higher-level control unit (M-ECU), which controls individual control and regulation units of components of the braking system, wherein the higher-level control unit (M-ECU) determines the braking torque to be generated by means of the wheel brakes (RB1-RB4) during braking and correspondingly activates the electronic control and regulation units (DV1-ECU, DV2-ECU) of one or more pressure supply devices (DV1, DV2) and activates or uses the at least one electric drive motor (TM1, TM2) to build up a braking torque in addition to the braking torque generated by the wheel brakes (RB1-RB4), and - at least one additional electric drive motor (TM1, TM2) for at least one axle or wheel of the vehicle, wherein the additional electric drive motor (TM1, TM2) can be used to drive and brake the axle or wheel, wherein - the braking system for steering interventions (torque vectoring) uses the at least one pressure supply device (DV1, DV2) for pressure regulation in at least one wheel brake and/or the at least one electric drive motor (TM1, TM2), wherein during braking different braking torques are generated on the axles for brake force distribution and/or on the wheels of an axle for generating a yaw moment or steering intervention (torque vectoring) by means of the at least one wheel brake (RB1, RB2, RB3, RB4) and/or the at least one drive motor (TM1, TM2). - at least two hydraulic brake circuits (BK1, BK2), each with at least one hydraulically acting wheel brake (RB1, RB2, RB3, RB4), - exactly two pressure supply devices (DV1, DV2), which are driven by an electromotive drive (M1, M2), wherein the pressure supply devices (DV1, DV2) each have an electronic control and regulation unit (DV1-ECU, DV2-ECU), - at least one electronic control and regulation unit, wherein one thereof is a higher-level control unit (M-ECU), which controls individual control and regulation units of components of the braking system, wherein the higher-level control unit (M-ECU) determines the braking torque to be generated by means of the wheel brakes (RB1-RB4) during braking and correspondingly activates the electronic control and regulation units (DV1-ECU, DV2-ECU) of one or more pressure supply devices (DV1, DV2) and activates or uses the at least one electric drive motor (TM1, TM2) to build up a braking torque in addition to the braking torque generated by the wheel brakes (RB1-RB4), and - at least one additional electric drive motor (TM1, TM2) for at least one axle or wheel of the vehicle, wherein the additional electric drive motor (TM1, TM2) can be used to drive and brake the axle or wheel, wherein - the braking system for steering interventions (torque vectoring) uses the at least one pressure supply device (DV1, DV2) for pressure regulation in at least one wheel brake and/or the at least one electric drive motor (TM1, TM2), wherein during braking different braking torques are generated on the axles for brake force distribution and/or on the wheels of an axle for generating a yaw moment or steering intervention (torque vectoring) by means of the at least one wheel brake (RB1, RB2, RB3, RB4) and/or the at least one drive motor (TM1, TM2).