Information Invariance in Variable‐Population Social‐Choice Problems

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Abstract
We examine the possibilities of extending Sen's taxonomy of fixed‐population information assumptions regarding the measurability and interpersonal comparability of individual utilities to social‐choice problems where the population may vary. It is shown that in order to avoid impossibility results, informationally more demanding assumptions than in the fixed‐population framework are required. We provide characterizations of variable‐population social‐welfare orderings based on information assumptions, and we suggest a way of generating the required informational environment by means of norms that impose a domain restriction on the set of possible utility profiles.

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