• Consistent Rationalizability 

    Bossert, Walter; Sprumont, Yves; Suzumura, Kotaro (Université de Montréal. Département de sciences économiques., 2002)
    Consistency of a binary relation requires any preference cycle to involve indifference only. As shown by Suzumura (1976b), consistency is necessary and sufficient for the existence of an ordering extension of a relation. Because of this important role ...
  • Upper Semicontinuous Extensions of Binary Relations 

    Bossert, Walter; Sprumont, Yves; Suzumura, Kotaro (Université de Montréal. Département de sciences économiques., 2002)
    Suzumura shows that a binary relation has a weak order extension if and only if it is consistent. However, consistency is demonstrably not sufficient to extend an upper semi-continuous binary relation to an upper semicontinuous weak order. Jaffray ...