AbstractA simple mathematical result characterizing a subset of a product set is proved and used to obtain additive representations of preferences. The additivity consequences of independence assumptions are obtained for preferences which are not total or transitive. This means that most of the economic theory based on additive preferences - expected utility, discounted utility - has been generalized to preferences which are not total or transitive. Other economic applications of the theorem are given.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 20 (1991)
Issue (Month): 1 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/jmateco
Other versions of this item:
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Ok, Efe A. & Masatlioglu, Yusufcan, 2007. "A theory of (relative) discounting," Journal of Economic Theory, Elsevier, vol. 137(1), pages 214-245, November.
- Gijs van de Kuilen & Peter P. Wakker, 2011.
"The Midweight Method to Measure Attitudes Toward Risk and Ambiguity,"
INFORMS, vol. 57(3), pages 582-598, March.
- Kuilen, G. van de & Wakker, P.P., 2011. "The midweight method to measure attitudes towards risk and ambiguity," Open Access publications from Tilburg University urn:nbn:nl:ui:12-4275073, Tilburg University.
- Ebbe Groes & Hans Jacobsen & Birgitte Sloth & Torben Tranæs, 1999.
"Testing the Intransitivity Explanation of the Allais Paradox,"
Theory and Decision,
Springer, vol. 47(3), pages 229-245, December.
- Ebbe Groes & Hans Jørgen Jacobsen & Birgitte Sloth & Torben Tranæs, 1997. "Testing the Intransitivity Explanation of the Allais Paradox," CIE Discussion Papers 1998-18, University of Copenhagen. Department of Economics. Centre for Industrial Economics, revised Oct 1998.
- Vind, Karl, 2000.
"von Neumann Morgenstern preferences,"
Journal of Mathematical Economics,
Elsevier, vol. 33(1), pages 109-122, February.
- Gerasímou, Georgios, 2010.
"Consumer theory with bounded rational preferences,"
Journal of Mathematical Economics,
Elsevier, vol. 46(5), pages 708-714, September.
- O’Callaghan, Patrick, 2011. "Context and Decision: Utility on a Union of Mixture Spaces," The Warwick Economics Research Paper Series (TWERPS) 973, University of Warwick, Department of Economics.
- Nakamura, Yutaka, 1998. "Skew-symmetric additive representations of preferences," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 367-387, October.
- Bouyssou, Denis & Pirlot, Marc, 2005. "Following the traces:: An introduction to conjoint measurement without transitivity and additivity," European Journal of Operational Research, Elsevier, vol. 163(2), pages 287-337, June.
- Denis Bouyssou & Thierry Marchant, 2011. "Subjective expected utility without preferences," Working Papers hal-00606939, HAL.
- Tangian, Andranik, 2004. "A model for ordinally constructing additive objective functions," European Journal of Operational Research, Elsevier, vol. 159(2), pages 476-512, December.
- Yutaka Nakamura, 1997. "Lexicographic Additivity For Multi-Attribute Preferences On Finite Sets," Theory and Decision, Springer, vol. 42(1), pages 1-19, January.
- repec:hal:journl:halshs-00340374 is not listed on IDEAS
- Simon Grant & Atsushi Kajii & Ben Polak, 1999.
"Decomposable Choice Under Uncertainty,"
Cowles Foundation Discussion Papers
1207, Cowles Foundation for Research in Economics, Yale University.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.