Pairs of compact convex sets arise in the quasidifferential calculus of V.F. Demyanov and A.M. Rubinov as sub- and superdifferentials of quasidifferen- tiable functions (see 26]) and in the formulas for the numerical evaluation of the Aumann-Integral which were recently introduced in a series of papers by R. Baier and F. Lempio (see 4], 5], 10] and 9]) and R. Baier and E.M. Farkhi 6], 7], 8]. In the field of combinatorial convexity G. Ewald et al...