  We say that a positively homogeneous function admits a saddle representation
by linear functions iff it admits both an inf-sup-representation and a
sup-inf-representation with the same two-index family of linear functions. In
the paper we show that each continuous positively homogeneous function can be
associated with a two-index family of linear functions which provides its
saddle representation. We also establish characteristic properties of those
two-index families of linear functions which provides saddle representations of
functions belonging to the subspace of Lipschitz continuous positively
homogeneous functions as well as the subspaces of difference sublinear and
piecewise linear functions.
