The invention relates to a convertible vehicle having a top linkage which can be displaced between a closed position and a storage position, and a linkage arrangement on both of its two sides relative to a vertical longitudinal center plane of the top. The linkage arrangement includes a main multi-joint arrangement pivotally mounted on a corresponding main bearing permanently mounted to the vehicle. The main multi-joint arrangement includes two main links, at least one of which rests against an abutment arrangement of the corresponding main bearing when in the closed position of the top so that the main bearing is in its a normal position. The abutment arrangement includes a displaceable abutment element which can be displaced between a rest position and an active position, in which the main link resting against the abutment arrangement is pivoted from the normal position to a deviated position.