The Possibility of Ordering Infinite Utility Streams
This paper revisits Diamond’s classical impossibility result regarding the ordering of infinite utility streams. We show that if no representability condition is imposed, there do exist strongly Paretian and finitely anonymous orderings of intertemporal utility streams with attractive additional properties. We extend a possibility theorem due to Svensson to a characterization theorem and we provide characterizations of all strongly Paretian and finitely anonymous rankings satisfying the strict transfer principle. In addition, infinitehorizon extensions of leximin and of utilitarianism are characterized by adding an equitypreference axiom and finite translation-scale measurability, respectively, to strong Pareto and finite anonymity.
|Date of creation:||2004|
|Date of revision:|
|Contact details of provider:|| Postal: C.P. 6128, Succ. centre-ville, Montréal (PQ) H3C 3J7|
Phone: (514) 343-6557
Fax: (514) 343-7221
Web page: http://www.cireq.umontreal.ca
More information through EDIRC
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.:
- Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 11, pages 543-596 Elsevier.
- 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.
When requesting a correction, please mention this item's handle: RePEc:mtl:montec:12-2004. 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: (Sharon BREWER)
If references are entirely missing, you can add them using this form.