Another way of looking at this is that only ratios of differences in utility are real.
I suspect real-world systems replace argmax with something like softmax, and in that case the absolute scale of the utility function becomes meaningful too (representing the scale at which it even bothers optimizing).
I suspect real-world systems replace argmax with something like softmax, and in that case the absolute scale of the utility function becomes meaningful too (representing the scale at which it even bothers optimizing).
Yes might very well be. But how do we find the scale parameter? Where does it come from?