A pneumatic tire comprising: a tire cavity, first and second sidewalls extending respectively from first and second tire bead regions to a tire tread region; an elongate, preferably substantially annular air passageway enclosed within a bending region of the tire and extending substantially in a circumferential direction of the tire, wherein upon rolling of the tire air is pressed through the air passageway; and a valve assembly in air flow communication with the tire cavity, the air passageway and the exterior of the tire, the valve assembly comprising: an air inlet for allowing air to enter the valve assembly from the exterior of the tire; an air outlet for allowing air to enter the tire cavity; a first valve interposed in the air flow of the air passageway, the first valve having a first position allowing air to enter the air passageway through the air inlet in a first flow direction and a second position allowing air to enter the air passageway through the air inlet in a second flow direction opposite to the first direction; and a second valve interposed in the air flow of the air passageway in parallel to the first valve, wherein when the first valve is in the first position, the second valve is in a third position allowing air flowing through the air passageway in the first flow direction to exit the air passageway through the air outlet, and wherein when the first valve is in the second position, the second valve is in a fourth position allowing air flowing through the air passageway in the second flow direction to exit the air passageway through the air outlet; wherein the valves (22, 32) change between the first, second, third or fourth position self-reliantly in dependency of the direction of the air flow through the air passageway dictated by the rolling direction of the tire. a tire cavity, first and second sidewalls extending respectively from first and second tire bead regions to a tire tread region; an elongate, preferably substantially annular air passageway enclosed within a bending region of the tire and extending substantially in a circumferential direction of the tire, wherein upon rolling of the tire air is pressed through the air passageway; and a valve assembly in air flow communication with the tire cavity, the air passageway and the exterior of the tire, the valve assembly comprising: an air inlet for allowing air to enter the valve assembly from the exterior of the tire; an air outlet for allowing air to enter the tire cavity; a first valve interposed in the air flow of the air passageway, the first valve having a first position allowing air to enter the air passageway through the air inlet in a first flow direction and a second position allowing air to enter the air passageway through the air inlet in a second flow direction opposite to the first direction; and a second valve interposed in the air flow of the air passageway in parallel to the first valve, wherein when the first valve is in the first position, the second valve is in a third position allowing air flowing through the air passageway in the first flow direction to exit the air passageway through the air outlet, and wherein when the first valve is in the second position, the second valve is in a fourth position allowing air flowing through the air passageway in the second flow direction to exit the air passageway through the air outlet; wherein the valves (22, 32) change between the first, second, third or fourth position self-reliantly in dependency of the direction of the air flow through the air passageway dictated by the rolling direction of the tire. an air inlet for allowing air to enter the valve assembly from the exterior of the tire; an air outlet for allowing air to enter the tire cavity; a first valve interposed in the air flow of the air passageway, the first valve having a first position allowing air to enter the air passageway through the air inlet in a first flow direction and a second position allowing air to enter the air passageway through the air inlet in a second flow direction opposite to the first direction; and a second valve interposed in the air flow of the air passageway in parallel to the first valve, wherein when the first valve is in the first position, the second valve is in a third position allowing air flowing through the air passageway in the first flow direction to exit the air passageway through the air outlet, and wherein when the first valve is in the second position, the second valve is in a fourth position allowing air flowing through the air passageway in the second flow direction to exit the air passageway through the air outlet; wherein the valves (22, 32) change between the first, second, third or fourth position self-reliantly in dependency of the direction of the air flow through the air passageway dictated by the rolling direction of the tire.