Structural elements of an antibody (Ab) or antigen (Ag) distant from the actual sites mediating contact between Ab and Ag can exert substantial influence on binding to, and discrimination among, multivalent targets. Consequently, multivalent molecules that express the same number of identical binding sites, but that differ in other structural features, can exhibit differences in their ability to discriminate between multivalent ligands. Here, Neil Greenspan and Laurence Cooper review evidence for these effects, and explore implications of the conclusion that effective specificity in multivalent interactions is not completely determined by the degree of complementarity between epitopes and paratopes.