3 research outputs found
LIPIcs, Volume 261, ICALP 2023, Complete Volume
LIPIcs, Volume 261, ICALP 2023, Complete Volum
Product Filters, Acyclicity and Suzumura Consistency
In a seminal contribution, Hansson (1976) demonstrates that the collection of
decisive coalitions associated with an Arrovian social welfare function forms an ultrafilter. He goes on to show that if transitivity is weakened to quasi-transitivity as the coherence property imposed on a social relation, the set of decisive coalitions is a filter. We examine
the notion of decisiveness with acyclical or Suzumura consistent social preferences and
without assuming that the social relation is complete. This leads to a new set-theoretic
concept applied to product spaces