[en] The derivation of a collision term extending time-dependent mean-field theories to describe the equilibration in finite fermion systems due to the residual interaction is discussed. Numerical results based on a relaxation ansatz for the collision term exhibit its qualitative effect. The equation for the time-dependent occupation numbers of the s.p. orbits is reduced to a non-linear partial differential equation which is solved analytically. In the equilibrium limit, a Fermi-type distribution for the occupation numbers is attained