Alcantud, José Carlos R. (2011): The impossibility of social evaluations of infinite streams with strict inequality aversion.
There is a more recent version of this item available. 

PDF
MPRA_paper_33716.pdf Download (237kB)  Preview 
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 BasuMitra 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 PigouDalton Transfer principle, or Altruistic Equity.
Item Type:  MPRA Paper 

Original Title:  The impossibility of social evaluations of infinite streams with strict inequality aversion 
Language:  English 
Keywords:  Social welfare functions; Strong Equity Principle; PigouDalton 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 DecisionMaking > 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:  14. Feb 2013 09:13 
References:  Alcantud JCR (2010) The compromise efficiency vs. egalitarianism among generations with an infinite horizon. MPRA Paper No. 22467, http://mpra.ub.unimuenchen.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, GarciaSanz MD (2010a) Paretian evaluation of infinite utility streams: an egalitarian criterion. Economics Letters 106: 209211. Alcantud, J.C.R. and GarciaSanz, M.D. (2010b): Evaluations of infinite utility streams: Paretoefficient and egalitarian axiomatics. MPRA Paper No. 20133, http://mpra.ub.unimuenchen.de/20133/ Banerjee K (2006) On the equityefficiency trade off in aggregating infinite utility streams. Economics Letters 93: 6367. Basu K, Mitra T (2003) Aggregating infinite utility streams with intergenerational equity: the impossibility of being Paretian. Econometrica 71: 15571563. Bossert W, Sprumont Y, Suzumura K (2007) Ordering infinite utility streams. Journal of Economic Theory 135: 579589. Crespo J, Nuñez C, RinconZapatero JP (2009) On the impossibility of representing infinite utility streams. Economic Theory 40: 4756. 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: 179191. Sakai T (2006) Equitable intergenerational preferences on restricted domains. Social Choice and Welfare 27: 4154. Sakamoto N (2011) Impossibilities of Paretian social welfare functions for infinite utility streams with distributive equity. Discussion Paper #201109. Hitotsubashi University. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/33716 
Available Versions of this Item
 The impossibility of social evaluations of infinite streams with strict inequality aversion. (deposited 25. Sep 2011 19:14) [Currently Displayed]