Perhaps I am mudding the waters too much. I agree with your logic, and with your conclusions. I agree you are better off taking the option where you serve one less person to increase the total payoff.
What I was trying to say in the original post is that for most things there is the thing itself, and the measurement of the thing. For example maybe noisy thermometers are off from the actual temperature by some random variance. Things feel slightly more suspicious for utility, because the measure of the thing kind of is the thing itself, the split between the actual value and the measured value feels less defensible.
Perhaps I am mudding the waters too much. I agree with your logic, and with your conclusions. I agree you are better off taking the option where you serve one less person to increase the total payoff.
What I was trying to say in the original post is that for most things there is the thing itself, and the measurement of the thing. For example maybe noisy thermometers are off from the actual temperature by some random variance. Things feel slightly more suspicious for utility, because the measure of the thing kind of is the thing itself, the split between the actual value and the measured value feels less defensible.