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An axiomatic approach to intergenerational equity

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Author Info
Toyotaka Sakai () (Department of Economics, University of Rochester, Rochester, New York 14627, USA)

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Abstract

We present a set of axioms in order to capture the concept of equity among an infinite number of generations. There are two ethical considerations: one is to treat every generation equally and the other is to respect distributive fairness among generations. We find two opposite results. In Theorem 1, we show that there exists a preference ordering satisfying anonymity, strong distributive fairness semiconvexity, and strong monotonicity. However, in Theorem 2, we show that there exists no binary relation satisfying anonymity, distributive fairness semiconvexity, and sup norm continuity. We also clarify logical relations between these axioms and non-dictatorship axioms.

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Publisher Info
Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 20 (2003)
Issue (Month): 1 ()
Pages: 167-176
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Handle: RePEc:spr:sochwe:v:20:y:2003:i:1:p:167-176

Note: Received: 30 August 2000/Accepted: 18 March 2002
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  1. Markus Knell, 2005. "On the Design of Sustainable and Fair PAYG Pension Systems When Cohort Sizes Change," Working Papers 95, Oesterreichische Nationalbank (Austrian Central Bank). [Downloadable!]
  2. Christopher Chambers, 2009. "Intergenerational equity: sup, inf, lim sup, and lim inf," Social Choice and Welfare, Springer, vol. 32(2), pages 243-252, February. [Downloadable!] (restricted)
  3. Toyotaka Sakai, 2003. "Intergenerational preferences and sensitivity to the present," Economics Bulletin, Economics Bulletin, vol. 4(26), pages 1-5. [Downloadable!]
  4. Banerjee, Kuntal & Mitra, Tapan, 2004. "On the Continuity of Ethical Social Welfare Orders," Working Papers 04-16, Cornell University, Center for Analytic Economics. [Downloadable!]
  5. Kohei Kamaga & Takashi Kojima, 2009. " $${\mathcal{Q}}$$ -anonymous social welfare relations on infinite utility streams," Social Choice and Welfare, Springer, vol. 33(3), pages 405-413, September. [Downloadable!] (restricted)
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