Variable displacement pumps and methods of pumping a fluid are provided. An example pump may include a housing having an inlet and an outlet, a rotor fixed for rotation with a shaft, the shaft rotatably mounted within the housing, and a plurality of radially extending vanes slidably disposed in the rotor. The pump may further include a pivotable ring member defining at least in part a control chamber about the rotor, wherein the ring member is pivotable within the housing to vary an eccentricity of the ring member with respect to the rotor. The ring member is configured to shift a pivot position of the ring member from a first pivot position to a second pivot position displaced from the first pivot position.