. Consistency is a weakening of transitivity and a strengthening of acyclicity requiring that there be no cycles with at least one …

Consistency, a natural weakening of transitivity introduced in a seminal contribution by Suzumura (1976b), has turned … is shown that the conclusion of the welfarism theorem remains true if transitivity is replaced by consistency and that an … impossibility result in variable-population social-choice theory turns into a possibility if transitivity is weakened to consistency. …

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 …

Consistency, a natural weakening of transitivity introduced in a seminal contribution by Suzumura (1976b), has turned … is shown that the conclusion of the welfarism theorem remains true if transitivity is replaced by consistency and that an … impossibility result in variable-population social-choice theory turns into a possibility if transitivity is weakened to consistency. …

Suzumura shows that a binary relation has a weak order extension if and only if it is consistent. However, consistency … consistence rather than transitive relations. For asymmetric relations, consistency and upper semicontinuity suffice. For more … general relations, we prove one theorem using a further consistency property and another with an additional continuity …

. Consistency is a weakening of transitivity and a strengthening of acyclicity requiring that there be no cycles with at least one …