Alcantud, José Carlos R. (2011): Liberal approaches to ranking infinite utility streams: When can we avoid interferences?

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Abstract
In this work we analyse social welfare relations on sets of infinite utility streams that verify various types of liberal noninterference principles. Earlier contributions have established that (finitely) anonymous and strongly Paretian quasiorderings exist that agree with axioms of that kind together with weak preference continuity and further consistency. Nevertheless Mariotti and Veneziani prove that a fully liberal noninterfering view of a finite society leads to dictatorship if weak Pareto optimality is imposed. We first prove that extending the horizon to infinity produces a reversal of such impossibility result. Then we investigate a related problem: namely, the possibility of combining “standard” semicontinuity with efficiency in the presence of noninterference. We provide several impossibility results that prove that there is a generalised incompatibility between continuity and noninterference principles, both under ordinal and cardinal views of the problem. Our analysis ends with some insights on the property of representability in the presence of noninterference assumptions. In particular we prove that all social welfare functions that verify a very mild efficiency property must exert some interference (penalising both adverse and favorable changes) on the affairs of particular generations.
Item Type:  MPRA Paper 

Original Title:  Liberal approaches to ranking infinite utility streams: When can we avoid interferences? 
Language:  English 
Keywords:  Pareto axiom; Intergenerational justice; Social welfare relation; Noninterference; Continuity 
Subjects:  D  Microeconomics > D7  Analysis of Collective DecisionMaking > D71  Social Choice; Clubs; Committees; Associations D  Microeconomics > D6  Welfare Economics > D63  Equity, Justice, Inequality, and Other Normative Criteria and Measurement D  Microeconomics > D9  Intertemporal Choice and Growth > D90  General 
Item ID:  32198 
Depositing User:  Jose Carlos R. Alcantud 
Date Deposited:  12. Jul 2011 22:20 
Last Modified:  16. Feb 2013 02:00 
References:  J.C.R. Alcantud, M.D. GarciaSanz, Evaluations of infinite utility streams: Paretoefficient and egalitarian axiomatics, MPRA Paper No. 20133 (2010), http://mpra.ub.unimuenchen.de/20133/ G.B. Asheim, T. Mitra, B. Tungodden, Sustainable recursive social welfare functions, Econ Theory, forthcoming. G.B. Asheim, B. Tungodden, Resolving distributional conflicts between generations, Econ. Theory 24 (2004), 221230. C. d’Aspremont, Axioms for Social Welfare Orderings, in: L. Hurwicz, D. Schmeidler, H. Sonnenschein (Eds.), Social Goals and Social Organization: Essays in Memory of Elisha Pazner, Cambridge University Press, 1985. K. Basu, T. Mitra, Possibility theorems for equitably aggregating infinite utility streams, in: J. Roemer, K. Suzumura (Eds.), Intergenerational Equity and Sustainability: Conference Proceedings of the IWEA Roundtable Meeting on Intergenerational Equity, Palgrave, 2007, pp. 6984. W. Bossert, Y. Sprumont, K. Suzumura, Ordering infinite utility streams, J. Econ. Theory 135 (2007), 579589. G. Chichilnisky, An axiomatic approach to sustainable development, Soc Choice Welfare 13 (1996), 231257. P. Hammond, Equity, Arrow's conditions and Rawls difference principle, Econometrica 44 (1976), 793804. C. Hara, T. Shinotsuka, K. Suzumura, Y. Xu, Continuity and egalitarianism in the evaluation of infinite utility streams, Soc. Choice Welfare 31 (2008), 179 191. M. Lombardi, R. Veneziani, Liberal egalitarianism and the Harm Principle, Working Paper No. 649 (2009), Queen Mary, University of London. M. Lombardi, R. Veneziani, Liberal principles for social welfare relations in infinitelylived societies, Working Paper No. 650 (2009), Queen Mary, University of London. M. Mariotti, R. Veneziani, On the impossibility of complete noninterference in Paretian social judgements, Mimeo (2011), Queen Mary, University of London. M. Mariotti, R. Veneziani, The paradoxes of the liberal ethics of non interference, Working Paper No. 653 (2009), Queen Mary, University of London. M. Mariotti, R. Veneziani, ‘Noninterference’ implies equality, Soc Choice Welf 32 (2009), 123128. T. Sakai, Intergenerational preferences and sensitivity to the present, Econ Bulletin 4 (26) (2003), 15. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/32198 