So there's this argument that utilitarianism doesn't work because (per work by behavioral economists) preferences are non-transitive. That is, you can't make a top to bottom list of preferences for each person where the higher position is always a higher preference.

But, like, surely preferences are *pretty* transitive? You can construct weird non-transitive cases. But for most purchase you could construct a list.

@ZachWeinersmith Well, possibly, but they are also pretty fluid and contextual. Dunno if that makes a difference here.
@ZachWeinersmith the version of this conversation I am most familiar with is: https://plato.stanford.edu/entries/arrows-theorem/
Arrow’s Theorem (Stanford Encyclopedia of Philosophy)

@njudd In immediately thought of this, and the phrase "I contain multitudes," since to my knowledge Arrow's theorem relates to how a set of individuals with transitive preferences will not necessarily have transitive preferences in aggregate as a group. @ZachWeinersmith
@internic @ZachWeinersmith yes, that’s the idea. If you rank preferences based on dimension x more than y and z, and I rank based on y more than x and z, and Zach ranks on z more than y or x, then we are in for a hard time coming to agreement.

@ZachWeinersmith
There's a money-pump argument that goes like this: if you're happy with your intransitive preferences then I will upsell you.

You should pay me €1 to exchange your X for my Y, my Z for your Y, and my X for your Z.

@ZachWeinersmith
The argument tries to show that preferences can be logical or illogical, so some sets of preferences are simply 'wrong'.

My intuition (as the Philosophers like to say) is that anyone who disagrees has spent too long in academia.

@ZachWeinersmith what does a utilitarian make of the paradox of "overthinking your purchases makes you more likely to have buyers remorse" (citation needed). that would speak against making a list in the first place, even if possible?
@mist @ZachWeinersmith What does that mean for those who make a list and check it twice?
@mist @ZachWeinersmith outsource the decision to a computer highly trained in my preferences 🤣

@ZachWeinersmith I suspect you'd get a pretty good value system merely by adhering to: do the Good thing when it's clear most people would agree about what the Good thing is, and flip a coin otherwise.

Not very satisfying for the folks tied to the trolley's tracks, of course.

@ZachWeinersmith

You'd be right, *if* in the real world you didn't find both passionately for better material circumstances independent of social other and passionately for a higher social position independent of material circumstances.

These are completely incompatible.

I suspect there are many others.

@iinavpov @ZachWeinersmith something I remember asking a professor once and not getting an answer is, do we have any theory in utility functions that take other people's utility as parameters, and what happens when we try to aggregate them?

@dancer_storm
I'm not the right professor to ask, but there are good works on preferences favouring "collective harmony" over the individual benefit.

However, your specific question is not well posed, because by definition, utility is the final value, and may well include "making other people happy".
@ZachWeinersmith

@iinavpov @ZachWeinersmith what do you mean by well posed?

I'm thinking of something like \[u_a = U_a([C_{ax}, C_{ay}, C_{az}, ...], [u_b, u_c, u_d, ...])\] and \[u_b = U_b([C_{bx}, C_{by}, C_{bz}, ...], [u_a, u_c, u_d, ...])\]

Where \(a\), \(b\), \(c\) are individuals and \(C\) is consumption

Since \(u_a\) depends on \(u_b\) and vice versa, aggregation becomes more challenging I imagine. Do you have something specific that I can read?

@dancer_storm
I know what you mean, but it's not a proper model, for 2 reasons:
- this is a confusion of a utility function and utility
- as a model you could solve it, but what would you have learnt? people don't instantly know the future utility of others!
@ZachWeinersmith

@ZachWeinersmith isn't that more of a math issue? If you can't have a utility function (because it requires transitivity), what do you sum?

But we estimate utility functions all the time and they're pretty useful. Do we have any specific examples of a violation that would really mess up an estimate and subsequently really mess up an aggregation?

@dancer_storm @ZachWeinersmith the 2024 American presidential election?

It's amazing in retrospect how much and how effectively the Republican party was able to elevate secondary concerns to primary just for a moment, resulting in a government that no one really likes.

@buckfiftyseven @ZachWeinersmith that's not an issue with transitivity, it's more about persistence ("I like broccoli now") and mismatches between stated/revealed preferences and experienced utility ("I bought this treadmill for a fair price but I hate running" or "I bought this thing from Temu for what I thought was a fair price but the thing that arrived was not what I thought it was and I can't return it")

Both are important issues too, but they don't mean there is no utility function, just that the system failed to reveal it.

@dancer_storm @ZachWeinersmith I'm not sure it's that different, if people thought they were voting their preferences.

*Our* perception is that they were deceived, but certainly the moment theirs was not. For many still.

@buckfiftyseven @dancer_storm @ZachWeinersmith

I don't understand. If you sort a list by preference, it won't be sorted by preference? 🤔

@Phosphenes @dancer_storm @ZachWeinersmith someone linked Kenneth Arrow’s “impossibility” theorem.

I think that applies, and "it's even worse" for reasons described above

@ZachWeinersmith
Well, one major issue here is that we manage multiple preferences at the same time, and these change their position in the list in response to stuff.

So like, say cheeseburgers are near the top and have a value of +27, but pickle chips have a value of -28. Most of the time, as much as you like the burger, you won't accept it if it has pickles, or you'll remove them before eating it.
Now let's say you're really hungry. Haven't eaten in days. Now that pickle number might go to -14. Still don't like pickles, but you're starving and won't readily reject the burger on that basis alone. Not unless maybe mustard is at -14 or more, tipping the scales again.

@ZachWeinersmith What if I prefer not to be an utilitarian ?
@ZachWeinersmith Maslow's non-Euclidian Klein Bottle of needs.
@ZachWeinersmith Has anyone found an inverted preference in Maslow’s Hierarchy? How many decimal places do we need on utils before it becomes inconsistent?

@ZachWeinersmith

I'm not convinced. There are people (NOT TO GET POLITICAL ABOUT IT) for whom conformity and uniformity are strong societal preferences, to the extent that they will vote against their own economic interests for people who promise to enforce them, and others (yeah, hi) for whom they are problems we as a civilization are attempting to solve.

@ZachWeinersmith On modelling these things with numbers, I’m reminded promise theory (which only seems to have any usage in server configurations) considers any change in promise to be a broken promise, even if it’s numerically better. So if I promise to send you £10 after you send me a book, you might not be happy to send that book to someone who promises to pay £10,000 for the same book (because they’re totally not going to keep that promise).
@ZachWeinersmith that’s weird, because normal economics is about (among other things) how people use money to buy stuff based on their preferred priorities