Choosers as extension axioms
Theory and Decision 67 (4):375-384 (2009)
Abstract
We 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 Gärdenfors (1976) and Kelly (1977) principles are singled-out as the only two extension axioms compatible with the non-resolute outcome interpretationDOI
10.1007/s11238-008-9113-3
My notes
Similar books and articles
Expected Utility Consistent Extensions of Preferences.Burak Can, Bora Erdamar & M. Remzi Sanver - 2009 - Theory and Decision 67 (2):123-144.
To Have One's Cake and Eat It, Too: Sequential Choice and Expected-utility Violations.Wlodek Rabinowicz - 1995 - Journal of Philosophy 92 (11):586-620.
On the Unintelligibility of Wittgenstein's Tractatus.Cameron Hessell - 2013 - Philosophical Investigations 36 (2):113-154.
Preference extension rules for ranking sets of alternatives with a fixed cardinality.Walter Bossert - 1995 - Theory and Decision 39 (3):301-317.
On Preference and Freedom.Prasanta K. Pattanaik & Yongsheng Xu - 1998 - Theory and Decision 44 (2):173-198.
Death and Deliberation: Overcoming the Decisionism Critique of Heidegger's Practical Philosophy.Matthew Burch - 2010 - Inquiry: An Interdisciplinary Journal of Philosophy 53 (3):211-234.
Axiomatization of a preference for most probable winner.Pavlo R. Blavatskyy - 2006 - Theory and Decision 60 (1):17-33.
Preference for equivalent random variables: A price for unbounded utilities.Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane - 2009 - Journal of Mathematical Economics 45:329-340.
Analytics
Added to PP
2013-12-01
Downloads
78 (#157,407)
6 months
4 (#183,948)
2013-12-01
Downloads
78 (#157,407)
6 months
4 (#183,948)
Historical graph of downloads
Citations of this work
Sincerity and manipulation under approval voting.Ulle Endriss - 2013 - Theory and Decision 74 (3):335-355.
References found in this work
Preference extension rules for ranking sets of alternatives with a fixed cardinality.Walter Bossert - 1995 - Theory and Decision 39 (3):301-317.
Group decision making under uncertainty a note on the aggregation of “ordinal probabilities”.Jean Laine, Michel Le Breton & Alain Trannoy - 1986 - Theory and Decision 21 (2):155-161.
Expected Utility Consistent Extensions of Preferences.Burak Can, Bora Erdamar & M. Remzi Sanver - 2009 - Theory and Decision 67 (2):123-144.