Laia Saumell

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A general method is given for revising degrees of belief and arriving at consistent decisions about a system of logically constrained issues. In contrast to other works about belief revision, here the constraints are assumed to be fixed. The method has two variants, dual of each other, whose revised degrees of belief are respectively above and below the(More)
A method is given for quantitatively rating the social acceptance of different options which are the matter of a complete preferential vote. Completeness means that every voter expresses a comparison (a preference or a tie) about each pair of options. The proposed method is proved to have certain desirable properties, which include: the continuity of the(More)
Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social attribute, its degrees being measured by the fraction of people who share a given opinion. Different known rules and some new(More)
A method is given for quantitatively rating the social acceptance of different options which are the matter of a preferential vote. In contrast to a previous article, here the individual votes are allowed to be incomplete, that is, they need not express a comparison between every pair of options. This includes the case where each voter gives an ordered list(More)
This paper is devoted to the computation of the mod p cohomology of the classifying spaces of the quotients of (non-afine) Kac-Moody groups of rank two by finite central p-groups, as algebras over the Steenrod algebra and higher Bockstein operations. To this aim we enlarge the class of spaces by including some homotopy theoretic constructions in such a way(More)
We consider the problem of making a collective choice by means of approval-preferential voting. The existing proposals are briefly overviewed so as to point out several issues that leave to be desired. In particular, and following Condorcet’s last views on elections, we pay a special attention to making sure that a good option is chosen rather than aiming(More)
This article is concerned with homotopy properties of H-spaces X that are reflected in the module of indecomposables QH∗(X ;Fp). It is shown that mod p H-spaces X of finite type with finite transcendence degree mod p cohomology and locally finite QH∗(X ;Fp) are BZ/p-null spaces, Eilenberg-Mac Lane spaces K(Ẑp, 2), K(Z/p, 1), and extensions of those. If we(More)
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