×

zbMATH — the first resource for mathematics

Liberal approaches to ranking infinite utility streams: when can we avoid interference? (English) Zbl 1288.91079
Summary: In this work we analyse social welfare relations on sets of finite and infinite utility streams that satisfy various types of liberal non-interference principles. Earlier contributions have established that (finitely) anonymous and strongly Paretian quasiorderings exist that verify non-interference axioms together with weak preference continuity and further consistency. Nevertheless M. Mariotti and R. Veneziani [J. Econ. Theory 148, No. 4, 1689–1699 (2013; Zbl 1285.91042)] prove that a fully liberal non-interfering view of a finite society leads to dictatorship if the weak Pareto principle is imposed. We first prove that this impossibility result vanishes when we extend the horizon to infinity. Then we investigate a related problem: namely, the possibility of combining “standard” semicontinuity with efficiency in the presence of non-interference. We provide several impossibility results that prove that there is a generalised incompatibility between relaxed forms of continuity and non-interference principles, both under ordinal and cardinal views of the problem.

MSC:
91B15 Welfare economics
91B32 Resource and cost allocation (including fair division, apportionment, etc.)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Alcantud JCR, Garcí a-Sanz MD (2010) Evaluations of infinite utility streams: Pareto-efficient and egalitarian axiomatics. Mimeo, Universidad de Salamanca
[2] Asheim, GB; Tungodden, B, Resolving distributional conflicts between generations, Econ Theory, 24, 221-230, (2004) · Zbl 1084.91052
[3] Asheim GB, Tungodden B (2004b) Do Koopmans’ postulates lead to discounted utilitarianism? Discussion Paper 32/04. Norwegian School of Economics and Business Administration
[4] Asheim GB, Zuber S (2011) A complete and strongly anonymous leximin relation on infinite streams. CESifo Working Paper no. 3578
[5] Asheim GB, Mitra T, Tungodden B (2007) A new equity condition for infinite utility streams and the possibility of being Paretian. In: Roemer J, Suzumura K (eds) Intergenerational equity and sustainability: conference proceedings of the IWEA roundtable meeting on intergenerational equity. Palgrave
[6] Asheim, GB; Mitra, T; Tungodden, B, Sustainable recursive social welfare functions, Econ Theory, 49, 267-292, (2012) · Zbl 1277.91051
[7] Basu K, Mitra T (2007) Possibility theorems for equitably aggregating infinite utility streams. In: Roemer J, Suzumura K (eds) Intergenerational equity and sustainability: conference proceedings of the IWEA roundtable meeting on intergenerational equity. Palgrave, pp 69-84
[8] Chichilnisky, G, An axiomatic approach to sustainable development, Soc Choice Welf, 13, 231-257, (1996) · Zbl 0846.90005
[9] d’Aspremont, C; Hurwicz, L (ed.); Schmeidler, D (ed.); Sonnenschein, H (ed.), Axioms for social welfare orderings, (1985), Cambridge
[10] Hammond, P, Equity, arrow’s conditions, and rawls’ difference principle, Econometrica, 44, 793-804, (1976) · Zbl 0331.90015
[11] Hara, C; Shinotsuka, T; Suzumura, K; Xu, Y, Continuity and egalitarianism in the evaluation of infinite utility streams, Soc Choice Welf, 31, 179-191, (2008) · Zbl 1163.91347
[12] Lombardi M, Veneziani R (2009a) Liberal egalitarianism and the harm principle. Working Paper No. 649. Queen Mary, University of London · Zbl 1184.91087
[13] Lombardi M, Veneziani R (2009b) Liberal principles for social welfare relations in infinitely-lived societies. Working Paper No. 650. Queen Mary, University of London
[14] Mariotti, M; Veneziani, R, ‘non-interference’ implies equality, Soc Choice Welf, 32, 123-128, (2009) · Zbl 1184.91087
[15] Mariotti M, Veneziani R (2009b) The paradoxes of the liberal ethics of non-interference. Working Paper No. 653. Queen Mary, University of London · Zbl 1163.91347
[16] Mariotti M, Veneziani R (2011) On the impossibility of complete non-interference in Paretian social judgements. Mimeo. Queen Mary, University of London · Zbl 1285.91042
[17] Sakai, T, Intergenerational preferences and sensitivity to the present, Econ Bull, 4, 1-5, (2003)
[18] Sakai, T, An axiomatic approach to intergenerational equity, Soc Choice Welf, 20, 167-176, (2003) · Zbl 1073.91566
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.