Choice of the Best Variants on Binary Relations and the Extremizational Choice

Abstract Idea of pair-dominant choice lies on the basis of practically all socio-economic models. On the other hand many efforts have been done to establish the connection between the choice on binary relations and its extremizational representation. To avoid some difficulties in classical representation of choice many non-classical rules were invented The problems of extremizational representation of classical models of choice are studied. It is shown that classical pair-dominant model of choice can be represented as extremizational procedure of some special type Seven different non-classical procedures of choice are studied and their mutual correlation are established. It is shown under what restrictions these rules generate classical choice functions