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On the extension of a preorder under translation invariance

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  • Mabrouk, Mohamed

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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File URL: http://mpra.ub.uni-muenchen.de/15407/
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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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Keywords: Szpilrajn theorem; translation invariance;

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  1. Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, Econometric Society, vol. 2(2), June.
  2. Luc LAUWERS, 2009. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Center for Economic Studies - Discussion papers, Katholieke Universiteit Leuven, Centrum voor Economische Studiën ces09.05, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  3. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
  4. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 58, pages 328.
  5. 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.
  6. d’ASPREMONT, Claude & GEVERS, Louis, 2001. "Social welfare functionals and interpersonal comparability," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2001040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, Econometric Society, vol. 48(5), pages 1251-56, July.
  9. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers, Cornell University, Center for Analytic Economics 05-06, Cornell University, Center for Analytic Economics.
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