-continuity (or Consistency) and the extended anonymity axiom called Q-Anonymity. We formulate new extended leximin and utilitarian … Preference-continuity (or Weak Consistency) and Q-Anonymity together with Strong Pareto and Hammond Equity (resp. Partial Unit … show that there exists no SWR satisfying Strong Pareto, Strong Preference-continuity (or Strong Consistency) and Q-Anonymity. …

Consistency of a binary relation requires any preference cycle to involve indifference only. As shown by Suzumura (1976 …b), consistency is necessary and sufficient for the existence of an ordering extension of a relation. Because of this … important role of consistency, it is of interest to examine the rationalizability of choice functions by means of consistent …