You’re immortal. Tell Omega any real number r > 0, and he’ll give you 1-r utility.
This problem is obviously isomorphic to the previous one under the transformation r=1/s and rescaling the utility: pick a number s > 0 and rescale the utility by s/(1-r), both are valid operations on utilities.
This problem is obviously isomorphic to the previous one under the transformation r=1/s and rescaling the utility: pick a number s > 0 and rescale the utility by s/(1-r), both are valid operations on utilities.