A characterization and an impossibility of finite length anonymity for infinite generations
In the context of ranking infinite utility streams, the impartiality axiom of finite length anonymity requires the equal ranking of any two utility streams that are equal up to a finite length permutation (Fleurbaey and Michel, 2003). We first characterize any finite length permutation as a composition of a fixed step permutation and an "almost" fixed step permutation. We then show that if a binary relation satisfies finite length anonymity, then it violates all the distributional axioms that are based on a segment-wise comparison. Examples of those axioms include the weak Pareto principle and the weak Pigou-Dalton principle.
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- Toyotaka Sakai, 2010.
"Intergenerational equity and an explicit construction of welfare criteria,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 393-414, September.
- Sakai, Toyotaka, 2008. "Intergenerational equity and an explicit construction of welfare criteria," PIE/CIS Discussion Paper 395, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Christopher Chambers, 2009. "Intergenerational equity: sup, inf, lim sup, and lim inf," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 243-252, February.
- 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).
- 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.
- 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.
- Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
- Toyotaka Sakai, 2006. "Equitable Intergenerational Preferences on Restricted Domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 41-54, August.
- Toyotaka Sakai, 2003. "An axiomatic approach to intergenerational equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(1), pages 167-176.
- Geir B. Asheim & Kuntal Banerjee, 2010.
"Fixed-step anonymous overtaking and catching-up,"
International Journal of Economic Theory,
The International Society for Economic Theory, vol. 6(1), pages 149-165.
- Fleurbaey, Marc & Michel, Philippe, 2001. "Transfer principles and inequality aversion, with an application to optimal growth," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 1-11, July.
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