Multidimensional concepts are everywhere, and they are important. Examples include moral value, welfare, scientific confirmation, democracy, and biodiversity. How, if at all, can we aggregate the underlying dimensions of a multidimensional concept F to yield verdicts about which things are Fer than which overall? Social choice theory can be used to model and investigate this aggregation problem. Here, we focus on a particularly thorny problem made salient by this social choice-theoretic framework: the underlying dimensions of a given concept might be (...) measurable on different types of scales—e.g., some ordinal and some cardinal. An underappreciated impossibility theorem due to Anna Khmelnitskaya shows that seemingly plausible constraints on aggregation across scale types are inconsistent. This impossibility threatens to render the notion of overall Fness incoherent. We attempt to defuse this threat, arguing that the impossibility depends on an overly restrictive conception of measurement and of how measurement constrains aggregation. Adopting a more flexible—and, we think, more perspicuous—conception of measurement opens an array of possibilities for aggregation across disparate scale types. (shrink)

Extensive measurement is the standard measurement-theoretic approach for constructing a ratio scale. It involves the comparison of objects that can be concatenated in an additively representable way. This paper studies the implications of extensively measurable welfare for social choice theory. We do this in two frameworks: an Arrovian framework with a fixed population and no interpersonal comparisons, and a generalized framework with variable populations and full interpersonal comparability. In each framework we use extensive measurement to introduce novel domain restrictions, independence (...) conditions, and constraints on social evaluation. We prove a welfarism theorem for these domains and characterize the social welfare functions that satisfy the axioms of extensive measurement at both the individual and social levels. The main results are simple axiomatizations of strong dictatorship in the Arrovian framework and classical utilitarianism in the generalized framework. (shrink)

This paper studies the relationship between promoting people's welfare and respecting their autonomy of choice under risk. I highlight a conflict between these two aims. Given compelling assumptions, welfarists end up disregarding people's unanimous preference, even when everyone involved is entirely rational and only concerned with maximizing their own welfare. Non-welfarist theories of social choice are then considered. They are shown to face difficulties, too: either they fail to respect the value of welfare in at least one important sense, or (...) they end up prioritizing different people's welfare differently in non-risky choices, on the basis of their attitudes to risk, which are intuitively irrelevant in this context. (shrink)

Fanatics claim that we must give up guaranteed goods in pursuit of extremely improbable Utopia. Recently, Wilkinson has defended Fanaticism by arguing that nonfanatics must violate at least one plausible rational requirement. We reject Fanaticism. We show that by taking stakes-sensitive risk attitudes seriously, we can resist the core premises in Wilkinson’s argument.

This paper defends the claim that if a person P exists, there can be true positive comparisons between P's existence and P's never having existed at all in terms of what is better or worse for P. If correct, this view will have significant implications for various fundamental issues in population ethics. I try to show how arguments to the contrary fail to take note of a general ambiguity in comparisons when compared alternatives contain their own different standards (or, in (...) the case of non-existence, a lack thereof) on which to base these comparisons. After having answered arguments against the possibility of making positive comparisons, the paper develops a positive account of how to make existence/non-existence comparisons in terms of personal value whilst accepting that a person's non-existence fails to make any contact with the relevant categories of personal value. The guiding idea is the following: When some item satisfies some relevant standard, we can, I argue, infer that it satisfies this standard better than something that fails to satisfy this standard (be this failure due to empirical or conceptual reasons). (shrink)