Vehicle having a chassis on which two front wheels (20, 22) forming a front wheel pairing and two rear wheels (30, 32) forming a rear wheel pairing are arranged by means of a respective wheel suspension (21, 23, 31, 33), a wheel carrier (24, 25, 34, 35) being assigned to each wheel (20, 22, 30, 32), on which wheel carrier the associated wheel (20, 22, 30, 32) is mounted so as to be rotatable about a respective axis of rotation (y 1, y 2, y 3, y 4) and which wheel carrier is connected to the chassis via links (210, 211, 212, 213, 230, 231, 232, 233, 310, 311, 312, 313, 330, 331, 332, 333), and wherein an anti-roll device is provided which counteracts an inclination of the chassis about the roll axis (x 1) of the vehicle during cornering, characterized - in that the wheels (20, 22, 30, 32) of at least one of the wheel pairings (2, 3) are mounted displaceably relative to the associated wheel carrier (24, 25, 34, 35) in the axial direction of the associated axis of rotation (y 1, y 2, y 3, y 4); - in that the anti-roll device (4, 4') has displacement sensors (40, 42), wherein at least one of the displacement sensors (40, 42) is assigned to each one of the wheels (20, 22, 30, 32) of the at least one wheel pairing (2, 3) in such a way that an axial displacement of a wheel (20, 22, 30, 32) generates a signal in the at least one assigned displacement sensor (40, 42); - in that the anti-roll device (4, 4') furthermore has actuators (44, 46), wherein at least one actuator (44, 46) is assigned to each of the wheels (20, 22, 30, 32) of the at least one wheel pairing (2, 3), said actuator (44, 46) being mechanically connected on the one hand to the chassis and being mechanically connected on the other hand via links (214, 215, 234, 235, 314, 315, 334, 335) to the associated wheel support (24, 25, 34, 35), and - in that the anti-roll device (4, 4') comprises a signal processing device (5, 5') with signal lines (50, 51, 52, 53, 54, 55, 56, 57; 50', 51', 52', 53', 54', 55', 56', 57') which connect the displacement sensors (40, 42) to the actuators (44, 46) for transmitting the signals in such a way that an axial displacement of at least one wheel (20, 22, 30, 32) influences at least one actuator (44, 46) in such a way that the at least one actuator (44, 46) acts on the chassis with a stabilizing moment (M') about the roll axis (x 1) which counteracts the rolling moment caused by the cornering and causing the inclination of the chassis. - in that the wheels (20, 22, 30, 32) of at least one of the wheel pairings (2, 3) are mounted displaceably relative to the associated wheel carrier (24, 25, 34, 35) in the axial direction of the associated axis of rotation (y 1, y 2, y 3, y 4); - in that the anti-roll device (4, 4') has displacement sensors (40, 42), wherein at least one of the displacement sensors (40, 42) is assigned to each one of the wheels (20, 22, 30, 32) of the at least one wheel pairing (2, 3) in such a way that an axial displacement of a wheel (20, 22, 30, 32) generates a signal in the at least one assigned displacement sensor (40, 42); - in that the anti-roll device (4, 4') furthermore has actuators (44, 46), wherein at least one actuator (44, 46) is assigned to each of the wheels (20, 22, 30, 32) of the at least one wheel pairing (2, 3), said actuator (44, 46) being mechanically connected on the one hand to the chassis and being mechanically connected on the other hand via links (214, 215, 234, 235, 314, 315, 334, 335) to the associated wheel support (24, 25, 34, 35), and - in that the anti-roll device (4, 4') comprises a signal processing device (5, 5') with signal lines (50, 51, 52, 53, 54, 55, 56, 57; 50', 51', 52', 53', 54', 55', 56', 57') which connect the displacement sensors (40, 42) to the actuators (44, 46) for transmitting the signals in such a way that an axial displacement of at least one wheel (20, 22, 30, 32) influences at least one actuator (44, 46) in such a way that the at least one actuator (44, 46) acts on the chassis with a stabilizing moment (M') about the roll axis (x 1) which counteracts the rolling moment caused by the cornering and causing the inclination of the chassis.