On representation of monotone preference orders in a sequence space
In this paper we investigate the relation between scalar continuity and representability of monotone preference orders in a sequence space. Scalar continuity is shown to be sufficient for representability of a monotone preference order and easy to verify in concrete examples. Generalizing this result, we show that a condition, which restricts the extent of scalar discontinuity of a monotone preference order, ensures representability. We relate this condition to the well-known order dense property, which is both necessary and sufficient for representability. Copyright Springer-Verlag 2013
Volume (Year): 41 (2013)
Issue (Month): 3 (September)
|Contact details of provider:|| Web page: http://link.springer.de/link/service/journals/00355/index.htm|
|Order Information:||Web: http://link.springer.de/orders.htm|
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.:
- Beardon, Alan F. & Candeal, Juan C. & Herden, Gerhard & Indurain, Esteban & Mehta, Ghanshyam B., 2002. "The non-existence of a utility function and the structure of non-representable preference relations," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 17-38, February.
- Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
- Kaushik Basu & Tapan Mitra, 2003.
"Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian,"
Econometric Society, vol. 71(5), pages 1557-1563, 09.
- Basu, Kaushik & Mitra, Tapan, 2003. "Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian," Working Papers 03-03, Cornell University, Center for Analytic Economics.
- Hara, Chiaki & Shinotsuka, Tomoichi & Suzumura, Kotaro & Xu, Yongsheng, 2007. "On the Possibility of Continuous, Paretian and Egalitarian Evaluation of Infinite Utility Streams," Discussion Paper 322, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
- Beardon, Alan F & Mehta, Ghanshyam B, 1994. "The Utility Theorems of Wold, Debreu, and Arrow-Hahn," Econometrica, Econometric Society, vol. 62(1), pages 181-86, January.
- Geir Asheim & Tapan Mitra & Bertil Tungodden, 2012.
"Sustainable recursive social welfare functions,"
Springer, vol. 49(2), pages 267-292, February.
- Mark Voorneveld & Jörgen Weibull, 2008.
"Outer measure and utility,"
- Voorneveld, Mark & Weibull, Jörgen W., 2008. "Outer measure and utility," SSE/EFI Working Paper Series in Economics and Finance 704, Stockholm School of Economics, revised 06 Apr 2009.
- Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, vol. 38(1), pages 93-96, January.
- Luc LAUWERS, 2009.
"Ordering infinite utility streams comes at the cost of a non-Ramsey set,"
Center for Economic Studies - Discussion papers
ces09.05, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
- Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
- Mitra, Tapan & Ozbek, Mahmut Kemal, 2010. "On Representation and Weighted Utilitarian Representation of Preference Orders on Finite Utility Streams," Working Papers 10-05, Cornell University, Center for Analytic Economics.
When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:41:y:2013:i:3:p:473-487. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn)or (Christopher F Baum)
If references are entirely missing, you can add them using this form.