Vololonirina Raderanirina

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In this paper we consider the three classes of choice functions satisfying the three significant axioms called heredity (H), concordance (C) and outcast (O). We show that the set of choice functions satisfying any one of these axioms is a lattice, and we study the properties of these lattices. The lattice of choice functions satisfying (H) is distributive,(More)
Arrow's theorem has fostered a lot of work on the problem to aggregate individual preferences into a collective preference or more generally into a collective choice function. Still more generally the " russian school " (see e.g. Aizerman and Aleskerov 1995, Aizerman and Malishevski 1981 or Aleskerov 1999) has considered the problem to aggregate individual(More)
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