Alcantud, José Carlos R. (2011): The impossibility of social evaluations of infinite streams with strict inequality aversion.
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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 |
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Original Title: | The impossibility of social evaluations of infinite streams with strict inequality aversion |
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 > D90 - General |
Item ID: | 33716 |
Depositing User: | Jose Carlos R. Alcantud |
Date Deposited: | 25 Sep 2011 19:14 |
Last Modified: | 01 Oct 2019 04:46 |
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/ Banerjee K (2006) On the equity-efficiency trade off in aggregating infinite utility streams. Economics Letters 93: 63-67. Basu K, Mitra T (2003) Aggregating infinite utility streams with intergenerational equity: the impossibility of being Paretian. Econometrica 71: 1557-1563. Bossert W, Sprumont Y, Suzumura K (2007) Ordering infinite utility streams. Journal of Economic Theory 135: 579-589. Crespo J, Nuñez C, Rincon-Zapatero JP (2009) On the impossibility of representing infinite utility streams. Economic Theory 40: 47-56. Dubey RS, Mitra T (2011) On equitable social welfare functions satisfying the weak pareto axiom: a complete characterization. International Journal of Economic Theory, forthcoming. Hara C, Shinotsuka T, Suzumura K, Xu Y (2006) On the possibility of continuous, Paretian and egalitarian evaluation of infinite utility streams. Mimeo. Hara C, Shinotsuka T, Suzumura K, Xu Y (2008) Continuity and egalitarianism in the evaluation of infinite utility streams. Social Choice and Welfare 31: 179-191. Sakai T (2006) Equitable intergenerational preferences on restricted domains. Social Choice and Welfare 27: 41-54. Sakamoto N (2011) Impossibilities of Paretian social welfare functions for infinite utility streams with distributive equity. Discussion Paper #2011-09. Hitotsubashi University. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/33716 |
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