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Now showing items 11-18 of 18
Product Filters, Acyclicity and Suzumura Consistency
(Université de Montréal. Département de sciences économiques., 2010-11-25)
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 ...
Expected utility without full transitivity
(Université de Montréal. Département de sciences économiques., 2014-05)
We generalize the classical expected-utility criterion by weakening transitivity to Suzumura consistency. In the absence of full transitivity, reflexivity and completeness no longer follow as a consequence of the system ...
Domain Closedness Conditions and Rational Choice
(Université de Montréal. Département de sciences économiques., 2005)
The rationalizability of a choice function on an arbitrary domain under various coherence properties has received a considerable amount of attention both in the long-established and in the recent literature. Because domain ...
The Possibility of Ordering Infinite Utility Streams
(Université de Montréal. Département de sciences économiques., 2004)
This paper revisits Diamond’s classical impossibility result regarding the ordering of infinite utility streams. We show that if no representability condition is imposed, there do exist strongly Paretian and finitely ...
Maximal-Element Rationalizability
(Université de Montréal. Département de sciences économiques., 2002)
We examine the maximal-element rationalizability of choice functions with arbitrary do-mains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed ...
Consistent Rationalizability
(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. ...
Upper Semicontinuous Extensions of Binary Relations
(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 ...
Rational Choice on Arbitrary Domains: A Comprehensive Treatment
(Université de Montréal. Département de sciences économiques., 2005)
The rationalizability of a choice function on arbitrary domains by means of a transitive relation has been analyzed thoroughly in the literature. Moreover, characterizations of various versions of consistent rationalizability ...