Characterizations of scoring methods for preference aggregation

The scores can be used in themselv es or serve as the basis for ranking or choice. For the present, only a few scoring pro cedures are endowed with their axiomatic characterizations. At the same time, a large num ber of ingenious procedures are advocated and used in such disciplines as manageme nt science, operations research, psychometrics, applied statistics, processing of spor t tournaments, graph theory, etc. Very few social choice papers deal with them. The aim of this pa per is to take one circumspect step toward an axiomatic framework for comparin g the merits of these elaborate procedures. As a result, we would like to isolate a family of s coring procedures that comprises a majority of'reasonable' procedures (so that th e further axioms could be imposed on this family). Two main approaches are applicable. The first one is to express the desired properties axiomatically, the second is to gather the ex isting procedures and specify their common algebraic form.