Multiutility representations for incomplete difference preorders
AbstractA difference preorder is a (possibly incomplete) preorder on a space of state changes (rather than the states themselves); it encodes information about preference intensity, in addition to ordinal preferences. We find necessary and sufficient conditions for a difference preorder to be representable by a family of cardinal utility functions which take values in linearly ordered abelian groups. We also discuss the sense in which this cardinal utility representation is unique up to affine transformations, and under what conditions it is real-valued. This has applications to interpersonal comparisons, social welfare, and decisions under uncertainty.
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 Mathematical Social Sciences.
Volume (Year): 66 (2013)
Issue (Month): 3 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/505565
Other versions of this item:
- Pivato, Marcus, 2012. "Multiutility representations for incomplete difference preorders," MPRA Paper 41182, University Library of Munich, Germany.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D60 - Microeconomics - - Welfare Economics - - - General
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Matthew Rabin, 1998.
"Psychology and Economics,"
Journal of Economic Literature,
American Economic Association, vol. 36(1), pages 11-46, March.
- Matthew Rabin., 1997. "Psychology and Economics," Economics Working Papers 97-251, University of California at Berkeley.
- Rabin, Matthew, 1997. "Psychology and Economics," Department of Economics, Working Paper Series qt8jd5z5j2, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Basu, Kaushik, 1982. "Determinateness of the Utility Function: Revisiting a Controversy of the Thirties," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 307-11, April.
- Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
- Veronika Köbberling, 2006. "Strength of preference and cardinal utility," Economic Theory, Springer, vol. 27(2), pages 375-391, January.
- Pivato, Marcus, 2011. "Social choice with approximate interpersonal comparison of welfare gains," MPRA Paper 32252, University Library of Munich, Germany.
- Mandler, Michael, 2005. "Incomplete preferences and rational intransitivity of choice," Games and Economic Behavior, Elsevier, vol. 50(2), pages 255-277, February.
- Michael Mandler, 2006. "Cardinality versus Ordinality: A Suggested Compromise," American Economic Review, American Economic Association, vol. 96(4), pages 1114-1136, September.
- Kaminski, B., 2007. "On quasi-orderings and multi-objective functions," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1591-1598, March.
- Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
- Pivato, Marcus, 2011. "Additive representation of separable preferences over infinite products," MPRA Paper 28262, University Library of Munich, Germany.
- Vicki Knoblauch, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, 02.
- Bosi, Gianni & Herden, Gerhard, 2014. "Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation," MPRA Paper 53404, University Library of Munich, Germany.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.