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On the Possibility of Continuous, Paretian and Egalitarian Evaluation of Infinite Utility Streams

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  • Hara, Chiaki
  • Shinotsuka, Tomoichi
  • Suzumura, Kotaro
  • Xu, Yongsheng

Abstract

There exists a utilitarian tradition à la Sidgwick of treating equal generations equally in the form of anonymity. Diamond showed that no social evaluation ordering over infinite utility streams satisfying the Pareto principle, Sidgwick's equity principle, and the axiom of continuity exists. We introduce two versions of egalitarianism in the spirit of the Pigou-Dalton transfer principle and the Lorenz domination principle, and examine their compatibility with the weak Pareto principle in the presence of a semi-continuity axiom. The social evaluation relation is not assumed to be either complete or transitive, yet Diamond's impossibility strenuously resurfaces.

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Bibliographic Info

Paper provided by Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University in its series Discussion Paper with number 322.

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Length: 15 p.
Date of creation: Mar 2007
Date of revision:
Handle: RePEc:hit:piedp2:322

Note: August 12, 2006, This paper is an outgrowth of our joint research which was conducted as a part of the Project on Intergenerational Equity under the auspices of the Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology of Japan.
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Cited by:
  1. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations," GE, Growth, Math methods 0511007, EconWPA.
  2. Alcantud, José Carlos R., 2011. "The impossibility of social evaluations of infinite streams with strict inequality aversion," MPRA Paper 33716, University Library of Munich, Germany.
  3. Tapan Mitra & M. Ozbek, 2013. "On representation of monotone preference orders in a sequence space," Social Choice and Welfare, Springer, vol. 41(3), pages 473-487, September.
  4. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer, vol. 31(2), pages 179-191, August.
  5. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth I: Consensual optimality," GE, Growth, Math methods 0510013, EconWPA.
  6. Sakamoto, Norihito, 2011. "Impossibilities of Paretian Social Welfare Functions for Infinite Utility Streams with Distributive Equity," Discussion Papers 2011-09, Graduate School of Economics, Hitotsubashi University.

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