On the extension of a preorder under translation invariance

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On the extension of a preorder under translation invariance

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Mabrouk, Mohamed

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Mohamed BenRida Mabrouk

Abstract

This paper proves the existence, for any preorder on a real vector space satisfying translation invariance, of a complete preorder extending the preorder and satisfying translation invariance. As application, the existence of a translation-invariant complete preorder on infinite utility streams satisfying strong Pareto and fixed-step anonymity, is established.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 15407.

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Date of creation: 25 May 2009
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Handle: RePEc:pra:mprapa:15407

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Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

This paper has been announced in the following NEP Reports:

NEP-ALL-2009-05-30 (All new papers)

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Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July. [Downloadable!] (restricted)
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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. [Downloadable!] (restricted)
Other versions:
- 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.
Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November. [Downloadable!] (restricted)
Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Society for Economic Theory, vol. 2(2), pages 187-202, June. [Downloadable!]
Monteiro, Paulo Klinger, 1987. "Some results on the existence of utility functions on path connected spaces," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 147-156, April. [Downloadable!] (restricted)

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This page was last updated on 2009-11-28.

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