A monotonic transformation like log doesn’t solve the infinity issue right?
Time discounting (to get you comparisons between finite sums) doesn’t preserve the ordering over sequences.
This makes me think you are thinking about something else?
Monotonic transformations can indeed solve the infinity issue. For example the sum of 1/n doesn’t converge, but the sum of 1/n^2 converges, even though x → x^2 is monotonic.
A monotonic transformation like log doesn’t solve the infinity issue right?
Time discounting (to get you comparisons between finite sums) doesn’t preserve the ordering over sequences.
This makes me think you are thinking about something else?
Monotonic transformations can indeed solve the infinity issue. For example the sum of 1/n doesn’t converge, but the sum of 1/n^2 converges, even though x → x^2 is monotonic.