  We develop an efficient reduced basis method for the frictional contact
problem formulated using Nitsche's method. We focus on the regime of small
deformations and on Tresca friction. The key idea ensuring the computational
efficiency of the method is to treat the nonlinearity resulting from the
contact and friction conditions by means of the Empirical Interpolation Method.
The proposed algorithm is applied to the Hertz contact problem between two
half-disks with parameter-dependent radius. We also highlight the benefits of
the present approach with respect to the mixed (primal-dual) formulation.
