A new proof for Weber's characterization of the random order values

This paper introduces an alternative proof for Weber's axiomatization of the random order values. In this proof, we make use of a combinatorial result that has recently been discussed by Vasil'ev [Vasil'ev, V.A., 2003. Extreme points of the Weber polyhedron. Discretnyi Analiz i Issledovaniye Operatsyi Ser.1, v.10, no. 2:17-55.]. In addition, we provide a new and intuitive proof for this combinatorial result.