Some Equivalence Classes in Paired Comparisons

Some Equivalence Classes in Paired Comparisons

Introduction. In a paired comparison experiment n judges give a preference in some or all of the (~) pairs of t items. Frequently the purpose of the experiment is to test the null hypothesis that every preference is equally likely against a vaguely defined alternative of consistency. Our purpose is to study several of the tests used, from the point of view of a natural equivalence relation whic...

Some equivalence classes of operators on B(H)

some equivalence classes of operators on b(h)

On some geometry and equivalence classes of normal form games

Equivalence classes of normal form games are de ned using the discontinuities of correspondences of standard equilibrium concepts like correlated Nash and robust equilibrium or risk dominance and rationalizability Resulting equivalence classes are fully character ized and compared across di erent equilibrium concepts for games larger games are also considered It is argued that the proce dure le...

Chromatic Equivalence Classes of Some Families of Complete Tripartite Graphs

We obtain new necessary conditions on a graph which shares the same chromatic polynomial as that of the complete tripartite graph Km,n,r. Using these, we establish the chromatic equivalence classes for K1,n,n+1 (where n ≥ 2). This gives a partial solution to a question raised earlier by the authors. With the same technique, we further show that Kn−3,n,n+1 is chromatically unique if n ≥ 5. In th...