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Decisive Coalitions and Coherence Properties
(Université de Montréal. Département de sciences économiques., 2009-03)
In a seminal contribution, Hansson has demonstrated that the family of decisive coalitions associated with an Arrovian social welfare function forms an ultrafilter. If the population under consideration is infinite, his ...
Quasi-Transitive and Suzumura Consistent Relations
(Université de Montréal. Département de sciences économiques., 2009-03)
We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction ...
Relative Egalitarianism and Related Criteria
(Université de Montréal. Département de sciences économiques., 2009-02)
We reconsider the problem of aggregating individual preference orderings into a single social ordering when alternatives are lotteries and individual preferences are of the von Neumann-Morgenstern type. Relative egalitarianism ...