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The impossibility of social evaluations of infinite streams with strict inequality aversion

Alcantud, José Carlos R. (2011): The impossibility of social evaluations of infinite streams with strict inequality aversion. Unpublished.

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Abstract

We are concerned with the problem of aggregating infinite utility streams and the possible adoption of consequentialist equity principles when using numerical evaluations of the streams. We find a virtually universal incompatibility between the Basu-Mitra approach (that advocates for social welfare functions and renounces continuity assumptions) and postulates that capture various forms of strict preference for a reduction in inequality like the Strong Equity Principle, the Pigou-Dalton Transfer principle, or Altruistic Equity.

Item Type:MPRA Paper
Language:English
Keywords:Social welfare functions; Strong Equity Principle; Pigou-Dalton Transfer principle; Altruistic Equity; monotonicity
Subjects:D - Microeconomics > D6 - Welfare Economics > D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice; Clubs; Committees; Associations
D - Microeconomics > D9 - Intertemporal Choice and Growth > D90 - General
ID Code:33716
Deposited By:Jose Carlos R. Alcantud
Deposited On:25. Sep 2011 21:14
Last Modified:25. Sep 2011 21:14
References:

Alcantud JCR (2010) The compromise efficiency vs. egalitarianism among generations with an infinite horizon. MPRA Paper No. 22467, http://mpra.ub.uni-muenchen.de/22467/

Alcantud JCR (2011) Inequality averse criteria for evaluating infinite utility streams: The impossibility of Weak Pareto. Journal of Economic Theory, forthcoming.

Alcantud JCR, Garcia-Sanz MD (2010a) Paretian evaluation of infinite utility streams: an egalitarian criterion. Economics Letters 106: 209-211.

Alcantud, J.C.R. and Garcia-Sanz, M.D. (2010b): Evaluations of infinite utility streams: Pareto-efficient and egalitarian axiomatics. MPRA Paper No. 20133, http://mpra.ub.uni-muenchen.de/20133/

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Dubey RS, Mitra T (2011) On equitable social welfare functions satisfying the weak pareto axiom: a complete characterization. International Journal of Economic Theory, forthcoming.

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Sakamoto N (2011) Impossibilities of Paretian social welfare functions for infinite utility streams with distributive equity. Discussion Paper #2011-09. Hitotsubashi University.

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