Nisan comments on Open Thread, August 1-15, 2012 - Less Wrong

2 Post author: OpenThreadGuy 01 August 2012 03:39PM

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Comment author: Nisan 06 October 2012 10:48:57PM * 1 point [-]

When thinking about these things I occasionally find it useful to use intervals instead of numbers to represent probabilities and utilities:

P(U) is in (0, epsilon), where epsilon is the lowest upper bound for the probability I found before I ran out of RAM.
P(V) is in (1 - epsilon, 1).
P(W) is in (0, 1); or in (a, b) if I managed to find nontrivial bounds a and b before I ran out of RAM.
U(X) is in (N, infinity)
U(Y) is in (-infinity, N)
U(Z) is in (-infinity, infinity); or (M, N) if I managed to find finite upper or lower bounds before running out of RAM.

EDIT: This might be what is known as "interval-valued probabilities" in the literature.