The paper proposes a method of transforming a possibly cyclic preference relation of a decision maker into a transitive … binary relation, which is called the transitive core. The characterizing properties of such a transformation is given. In … addition, the transitive core is applied to interesting classes of nontransitive preference relations, including the majority …

system of commodity gives the social utility value of commodity and consumers only have two options for this utility value …: accept or not accept. Consumption behavior is the result that consumer compares the utility of currency with the social … utility of commodity. Consumer behavior theory has several logical paradox and this is a wrong theory …