A multispecific antagonist is disclosed that reacts specifically with at least two different targets. The targets are (A) proinflammatory effectors of the innate immune system, (B) coagulation factors, (C) complement factors and complement regulatory proteins, and (D) targets specifically associated with an inflammatory or immune-dysregulatory disorder or with a pathologic angiogenesis or cancer, wherein this latter target is not (A), (B) or (C). At least one of the targets is (C), and when the multispecific antagonist comprises a single multispecific antibody, then CD74 is excluded as a target of said antagonist. When the multispecific antagonist comprises a combination of separate antibodies, combinations are excluded where one of said antibodies targets a B-cell antigen and the other antibody targets a T-cell, plasma cell, macrophage or inflammatory cytokine and combinations are also excluded where one of said antibodies targets CD20 and the other antibody targets C3b or CD40.