Let A be a set of alternatives whose power set is . Elements of are interpreted as non-resolute outcomes. We consider the aggregation of preference profiles over into a (social) preference over . In case we allow individuals to have any complete and transitive preference over , Arrow’s impossibility theorem naturally applies. However, the Arrovian impossibility prevails, even when the set of admissible
preferences over is severely restricted. In fact, we identify a mild “regularity” condition which ensures the dictatoriality of a domain.
Regularity is compatible with almost all standard extension axioms of the literature. Thus, we interpret our results as the
strong prevalence of Arrow’s impossibility theorem in aggregating preferences over non-resolute outcomes.
This paper is part of a project entitled “Social Perception—A Social Choice Perspective”, supported by Istanbul Bilgi University
Research Fund. It has been completed while Remzi Sanver was visiting Ecole Polytechnique, Paris. We are grateful to both institutions.
We thank Nick Baigent, two anonymous referees and an anonymous associate editor for their valuable comments. 相似文献
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