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General Model of Aggregation of Preferences

  • Andranick S. Tanguiane

Abstract

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.

Keywords

Partial Order Boolean Algebra Weak Order Collective Choice Collective Preference 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Andranick S. Tanguiane
    • 1
    • 2
  1. 1.Computing CentreAcademy of Sciences of the USSRMoscowUSSR
  2. 2.Department of Econometrics and StatisticsFernUniversitätHagen 1Germany

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