I know I discussed it relatively recently, but I feel I should say a few more words more about the rhetoric of so-called “social welfare functions,” mostly because so many dismiss the baleful effects of bad economics in the conservative style by waving their hands at it. It’s meant to be a way to introduce interpersonal ethics, equity issues, into neoclassical welfare economics, to make it a full ethical theory rather than an ethical half-theory. In reality, it’s a rather daft, misleading bit of bad ethical philosophy, rhetoric, mostly about deflecting criticism.
If you recall my previous discussion of the odd way the term “utility” is used in neoclassical economics, you may recall the dominant modern interpretation is that it has no content beyond indicating preference ranks for a given individual. There’s nothing “behind” it, only the fact of the ranking. This interpretation is often called “preference rank utility,” although what the word utility is meant to add to that formulation is anyone’s guess and it should simply be “preference rank.” Under that definition, “utility” is undefined in interpersonal contexts. That is to say, it’s grammatical nonsense to talk about how the “utility” of person A compares to that of person B. One has a “utility” defined relative to A, and a “utility” defined relative to B, but there is no “utility” defined relative to both at the same time. Despite this, it’s not uncommon to see economists who profess to be using modern preference rank utility then move on without skipping a beat to adding up “total” utility by using a “social welfare function.” One cannot avoid the implication they simply don’t know what they’re talking about.
If a “social welfare function” is to be sensible, one must use an interpretation of “utility” in which something lies behind individual presence ranks and so exists in interpersonal contexts, as in the older “inaccessible inner perceptions of satisfaction from preference fulfillment” definition. You may recall that older definition, related to utilitarian ethical philosophy in which “utility” typically related to usefulness for an implied end as satisfaction, happiness, well-being, was also formerly used to shut down interpersonal “utility” comparisons to produce an ethical half-theory. The earlier approach to achieving that end was based on interpersonal utility comparisons not being undefined, as under the modern preference rank definition, but being technically and scientifically impossible, there being no way to obtain information on these inner perceptions of satisfaction. Later economists developed a desire to be viewed more as scientists, despite their philosophical and ethical concerns, leading them to want to shed the non-observable “nonsense” of their older definition of “utility” and adopt the new observable preference rank one. In a practical sense both approaches led to the same conclusions because although the “inaccessible inner perceptions of satisfaction from preference fulfillment” was not defined only relative to individuals, individual preference ranks were the only observable information meant to relate to it.
The funny thing about the “inaccessible inner perceptions of preference satisfaction” utility is that, as ethical philosophy, it’s complete garbage, in the sense few would likely agree with it if they could actually implement it. Say one had a dream where one could access these postulated inner perceptions and one found they were greatest with someone, oh heck let’s say Adolph Hitler, whose perceptions were so much stronger they dwarfed all others. So the ethical thing to do would be to let Mr. Hitler victimize everyone? Would anyone seriously accept maximizing that type of “utility” as sound ethical philosophy if they could implement it? Unlikely. As I like to say, it’s an ethical theory whose utter implausibility is masked by it utter impossibility. It’s not a real ethical proposition but a rhetorical maneuver. However, if one starts with “utility” defined in that way, and has no actual idea the size or intensity of the relevant inner perceptions, one might want to “weight” them according to some formula in order to add them up and get a total “utility” or inner perception across people.
It’s garbage. Bad philosophy. One claimed implausibly to want to maximize a peculiar sort of “utility,” then one basically ignored it and introduced unrelated ethical thinking (ironically possibly involving other takes on utility), and made up conclusions having nothing really to do with it.
It introduces the ethical stylings of philosophically clueless economists, the ones making these social welfare functions, based on who knows what ethical thinking, and sets economists up as ethical arbiters. Why? What does your average economist know about ethical philosophy?
It does nothing to address the problems introduced by bad economics in the conservative style, as that rhetoric remains untouched. The ethical rationale for interpersonal ethics and equity issues remains external to neoclassical welfare economics, which remains an ethical half-theory.
The odd formulation supports rhetorical arguments in some forms of bad economics in the conservative style in which interpersonal ethics, equity issues, are viewed as irrational, unjustified, arbitrary, mere “virtue signaling,” nothing that should be taken seriously in economic evaluation.
If one is serious about addressing the dodgy normative rhetoric of anti-democracy bad economics in the conservative style, one won’t be distracted by the essentially mathematical issue of economists potentially using “social welfare functions” to rank perfectly competitive market outcomes.