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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 ones are obtained depending on which particular constraints are assumed. These constraints allow to model different notions of choiceness. In particular, we give a new method to deal with approval-disapproval-preferential voting. [ABSTRACT FROM AUTHOR]

This paper provides a comparison of three voting rules, the Borda rule, the Copeland rule and the maximin rule. Our analysis based on the rankings derived from those voting rules will shed new light on existing comparisons based on “closeness” between the three voting rules under investigation. In particular it will be shown that both, the rankings derived from the Borda rule and the maximin rule and the rankings derived from the Copeland rule and the maximin rule, will be exactly the opposite for certain preference profiles. [ABSTRACT FROM AUTHOR]