A shock device for an at least partially muscle-powered two-wheeled vehicle including a damping system having a damper cylinder and a moving piston disposed therein and connected with a piston rod extending from the damper cylinder, wherein the piston acts on a first damping chamber in the damper cylinder in the compression stage as the piston rod plunges in from a retracted base position into a plunged-in position. In the damping system, as the piston rod plunges in, damping fluid is transferred from the first damping chamber to an auxiliary chamber. A flow resistance for transferring the damping fluid into the auxiliary chamber is configured travel-dependent, depending on the piston position. The flow resistance for transferring the damping fluid into the auxiliary chamber over a first travel distance of the piston including the base position is smaller than over a second travel distance that is plunged in further.