A binding has a carrier arrangement having at least one elongated portion, which extends in the longitudinal direction of the ski, is flexurally rigid and/or can be subjected to shearing. A first region of the carrier arrangement, is fixed to the ski, a second region is spaced apart from said first region in the longitudinal direction of the ski and is coupled, or can be coupled, compliantly to the ski. The carrier arrangement alters the bending properties of the ski to change the stiffness of the ski and/or damp vibrations of the ski.