During the flipping of the coin, and the winning of the utilons, yes. If they're taking the measure with the utilitometer at the point-in-time of winning, then it will show 'utilons', but I think that's the wrong place to take the measurement. There's the possibility that more now means less later, or over all. If they take the measurement at end-of-time, then I would expect massive differences between each coin flip, as measured by the utilitometer, or no effect whatsoever.
The friend with the utiliometer set it up so that there are no differences between each flip. One might alter windflow over the artic, the other might kill a fish in the pacific, total utility is the same.
Value is complex. Humans are contradictory. I doubt there is such a thing as a true utilon, or a simplistic optimizer of any kind.
Then why bother trying to make a utiliometer?
Remember all those unintended consequences? Your making an imperfect utiliometer is as likely to have huge negative effects on the far future as any other action you make.
And you making a perfect utiliometer is impossible; the total future is unbounded.
Again: if you have two possibilities that are, on average, the same; apart from a small, known difference (ie. torturing someone to death or giving them chocolate; both are almost equally likely to prevent the end of the world [there is good reason to think that the chocolate is a better choice in that regard, but the effect is minor] both are equally likely to decrease the death toll in the year 5583224308, but one gives someone chocolate, and the other tortures the person to death) why can't you cancel the bit that's the same, and look at the difference?
Then why bother trying to make a utilitometer?
Because as described, it would do the impossible :-P Obviously I'm not ever intending to build one, just thinking about it, which led me to the rest of this discussion, and my problems with utility and value.
Remember all those unintended consequences? Your making an imperfect utiliometer is as likely to have huge negative effects on the far future as any other action you make.
And you making a perfect utiliometer is impossible; the total future is unbounded.
Exactly why I feel like the entire future is was...
I've been doing thought experiments involving a utilitometer: a device capable of measuring the utility of the universe, including sums-over-time and counterfactuals (what-if extrapolations), for any given utility function, even generic statements such as, "what I value." Things this model ignores: nonutilitarianism, complexity, contradictions, unknowability of true utility functions, inability to simulate and measure counterfactual universes, etc.
Unfortunately, I believe I've run into a pathological mindset from thinking about this utilitometer. Given the abilities of the device, you'd want to input your utility function and then take a sum-over-time from the beginning to the end of the universe and start checking counterfactuals ("I buy a new car", "I donate all my money to nonprofits", "I move to California", etc) to see if the total goes up or down.
It seems quite obvious that the sum at the end of the universe is the measure that makes the most sense, and I can't see any reason for taking a measure at the end of an action as is done in all typical discussions of utility. Here's an example: "The expected utility from moving to California is negative due to the high cost of living and the fact that I would not have a job." But a sum over all time might show that it was positive utility because I meet someone, or do something, or learn something that improves the rest of my life, and without the utilitometer, I would have missed all of those add-on effects. The device allows me to fill in all of the unknown details and unintended consequences.
Where this thinking becomes a problem is when I realize I have no such device, but desperately want one, so I can incorporate the unknown and the unintended, and know what path I should be taking to maximize my life, rather than having the short, narrow view of the future I do now. In essence, it places higher utility on 'being good at calculating expected utility' than almost any other actions I could take. If I could just build a true utilitometer that measures everything, then the expected utility would be enormous! ("push button to improve universe"). And even incremental steps along the way could have amazing payoffs.
Given that a utilitometer as described is impossible, thinking about it has still altered my values to place steps toward creating it above other, seemingly more realistic options (buying a new car, moving to California, etc). I previously asked the question, "How much time and effort should we put into improving our models and predictions, given we will have to model and predict the answer to this question?" and acknowledged it was circular and unanswerable. The pathology comes from entering the circle and starting a feedback loop; anything less than perfect prediction means wasting the entire future.