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Öğe Choosers as extension axioms(Springer, 2009) Erdamar, Bora; Sanver, M. RemziWe consider the extension of a (strict) preference over a set to its power set. Elements of the power set are non-resolute outcomes. The final outcome is determined by an (external) chooser which is a resolute choice function. The individual whose preference is under consideration confronts a set of resolute choice functions which reflects the possible behaviors of the chooser. Every such set naturally induces an extension axiom (i.e., a rule that determines how an individual with a given preference over alternatives is required to rank certain sets). Our model allows to revisit various extension axioms of the literature. Interestingly, the Gardenfors (1976) and Kelly (1977) principles are singled-out as the only two extension axioms compatible with the non-resolute outcome interpretation.Öğe Expected Utility Consistent Extensions of Preferences(Springer, 2009) Can, Burak; Erdamar, Bora; Sanver, M. RemziWe consider the problem of extending a (complete) order over a set to its power set. The extension axioms we consider generate orderings over sets according to their expected utilities induced by some assignment of utilities over alternatives and probability distributions over sets. The model we propose gives a general and unified exposition of expected utility consistent extensions whilst it allows to emphasize various subtleties, the effects of which seem to be underestimated - particularly in the literature on strategy-proof social choice correspondences.Öğe Extending an order over a set to its power set(İstanbul Bilgi Üniversitesi, 2007) Erdamar, Bora; Sanver, RemziThis thesis investigates the problem of extending a (complete) order over a set to its power set. We interpret the set under consideration as a set of alternatives and we conceive orders as individual preferences. The elements of the power sets are the non-resolute outcomes. To determine how an individual with a given preference over alternatives is required to rank certain sets, we need a concept of extension axioms. In the this part, the final outcome is determined by an ì(external) chooserî which is a resolute choice function. The individual whose preference is under consideration confronts a set of resolute choice functions which reflects the possible behaviors of the chooser. Every such set naturally induces an extension axiom (i.e., a rule that determines how an individual with a given preference over alternatives is required to rank certain sets). Our model allows to revisit various extension axioms of the literature. Interestingly, the Gardenfors (1976) and Kelly (1977) principles are singled-out as the only two extension axioms compatible with the non-resolute outcome interpretation. In the second part, the extension axioms we consider generate orderings over sets according to their expected utilities induced by some assignment of utilities over alternatives and probability distributions over sets. The model we propose gives a general and unified exposition of expected utility consistent extensions while it allows to emphasize various subtleties, the effects of which seem to be underestimated - particularly in the literature on strategy-proof social choice correspondences.Öğe Measuring consensus in a preference-approval context(2014) Erdamar, BoraWe consider measuring the degree of homogeneity for preference-approval profiles which include the approval information for the alternatives as well as the rankings of them. A distance-based approach is followed to measure the disagreement for any given two preference-approvals. Under the condition that a proper metric is used, we propose a measure of consensus which is robust to some extensions of the ordinal framework. This paper also shows that there exists a limit for increasing the homogeneity level in a group of individuals by simply replicating their preference-approvals. © 2012 Elsevier B.V. All rights reserved.
