General Model of Aggregation of Preferences
In this chapter we accomplish the study of the model of aggregation of preferences, discarding one of Arrow’s axioms. Now we give up the prohibition of dictatorship. We shall obtain corollaries for the models of Arrow (1951), Fishburn (1970a), Kirman and Sondermann (1972). In section 7 we shall introduce probability measures to characterize quantitatively the elements of the model, and so we shall also generalize the models of Armstrong (1980; 1985) and Schmitz (1977). The works of the named authors deal with the same axioms, but their interpretations are different. It comes from the fact that Arrow’s model assumes finite, and the others infinite, set of individuals.
KeywordsPartial Order Boolean Algebra Weak Order Collective Choice Collective Preference
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