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Lumifer comments on Median utility rather than mean? - Less Wrong Discussion
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A fair point, though I don't think it makes any difference in the context. And I'm not sure the utility function is amenable to MCMC sampling...
I basically agree. However...
It might be more amenable to MCMC sampling than you think. MCMC basically is a series of operations of the form "make a small change and compare the result to the status quo", which now that I phrase it that way sounds a lot like human ethical reasoning. (Maybe the real problem with philosophy is that we don't consider enough hypothetical cases? I kid... mostly...)
In practice, the symmetry constraint isn't as nasty as it looks. For example, you can do MH to sample a random node from a graph, knowing only local topology (you need some connectivity constraints to get a good walk length to get good diffusion properties). Basically, I posit that the hard part is coming up with a sane definition for "nearby possible world" (and that the symmetry constraint and other parts are pretty easy after that).
In that case we can have wonderful debates about which sub-space to sample our hypotheticals from, and once a bright-eyed and bushy-tailed acolyte breates out "ALL of it!" we can pontificate about the boundaries of all :-)
P.S. In about a century philosophy will discover the curse of dimensionality and there will be much rending of clothes and gnashing of teeth...