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On the extension of a preorder under translation invariance

  • Mabrouk, Mohamed

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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File URL: http://mpra.ub.uni-muenchen.de/15407/1/MPRA_paper_15407.pdf
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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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  1. d’ASPREMONT, Claude & GEVERS, Louis, 2001. "Social welfare functionals and interpersonal comparability," CORE Discussion Papers 2001040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. 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.
  3. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers 05-06, Cornell University, Center for Analytic Economics.
  4. Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
  5. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328.
  6. 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.
  7. 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.
  8. 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.
  9. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
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