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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.

91B15 Welfare economics
91B32 Resource and cost allocation (including fair division, apportionment, etc.)
Full Text: DOI
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