Ordering infinite utility streams comes at the cost of a non-Ramsey set
AbstractThe existence of a Paretian and finitely anonymous ordering in the set of infinite utility streams implies the existence of a non-Ramsey set (a nonconstructive object whose existence requires the axiom of choice). Therefore, each Paretian and finitely anonymous quasi-ordering either is incomplete or does not have an explicit description. Hence, the possibility results of Svensson (1980) and of Bossert, Sprumont, and Suzumura (2006) do require the axiom of choice.
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.
Bibliographic InfoPaper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces09.05.
Date of creation: Feb 2009
Date of revision:
Intergenerational justice; Pareto; Multi-period social choice; Axiom of choice; Constructivism.;
Other versions of this item:
- 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.
- D60 - Microeconomics - - Welfare Economics - - - General
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D90 - Microeconomics - - Intertemporal Choice - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-04-05 (All new papers)
- NEP-CDM-2009-04-05 (Collective Decision-Making)
- NEP-UPT-2009-04-05 (Utility Models & Prospect Theory)
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.:
- Fleurbaey, Marc & Michel, Philippe, 2003.
"Intertemporal equity and the extension of the Ramsey criterion,"
Journal of Mathematical Economics,
Elsevier, vol. 39(7), pages 777-802, September.
- FLEURBAEY, Marc & MICHEL, Philippe, 1997. "Intertemporal equity and the extension of the Ramsey criterion," CORE Discussion Papers 1997004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- M. Fleurbaey & P. Michel, 1997. "Intertemporal equity and the extension of the Ramsey criterion," THEMA Working Papers 97-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- K. Vela Velupillai, 2004.
"The unreasonable ineffectiveness of mathematics in economics,"
Department of Economics Working Papers
0406, Department of Economics, University of Trento, Italia.
- K. Vela Velupillai, 2005. "The unreasonable ineffectiveness of mathematics in economics," Cambridge Journal of Economics, Oxford University Press, vol. 29(6), pages 849-872, November.
- K. Vela Velupillai, 2004. "The Unreasonable Ineffectiveness of Mathematics in Economics," Working Papers 0080, National University of Ireland Galway, Department of Economics, revised 2004.
- Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414.
- Basu, Kaushik & Mitra, Tapan, 2003.
"Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian,"
03-03, Cornell University, Center for Analytic Economics.
- Kaushik Basu & Tapan Mitra, 2003. "Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian," Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, 09.
- Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
- Lauwers, Luc & Vallentyne, Peter, 2004. "Infinite Utilitarianism: More Is Always Better," Economics and Philosophy, Cambridge University Press, vol. 20(02), pages 307-330, October.
- Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
- Geir Asheim & Tapan Mitra & Bertil Tungodden, 2012.
"Sustainable recursive social welfare functions,"
Springer, vol. 49(2), pages 267-292, February.
- Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
- Basu, Kaushik & Mitra, Tapan, 2007.
"Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization,"
Journal of Economic Theory,
Elsevier, vol. 133(1), pages 350-373, March.
- Basu, Kaushik & Mitra, Tapan, 2003. "Utilitarianism for Infinite Utility Streams: A New Welfare Criterion and Its Axiomatic Characterization," Working Papers 03-05, Cornell University, Center for Analytic Economics.
- Asheim, Geir B. & Tungodden, Bertil, 2005. "A new equity condition for infinite utility streams and the possibility of being Paretian," Memorandum 08/2005, Oslo University, Department of Economics.
- Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page. reading list or among the top items on IDEAS.Access and download statisticsgeneral 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: (Karla Vander Weyden).
If references are entirely missing, you can add them using this form.