A tissue shaping device adapted to be disposed in a vessel near a patient's heart to reshape the patient's heart. The tissue shaping device includes a proximal anchor, a distal anchor, and a connector disposed between the proximal anchor and the distal anchor, the connector having a moment of inertia that varies along its length, such as by varying the connector thickness as a function of distance from one of its ends, with the smallest thickness being in the central portion of the connector.