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Jul 21, 2014 at 11:14 comment added Tom Leinster Thanks, Neil, that's really helpful. (And anyone coming late to this thread: please ignore earlier references to specific paragraphs of Neil's answer, which has now been completely rewritten.)
Jul 16, 2014 at 18:06 history edited Neil Strickland CC BY-SA 3.0
complete rewrite
Jul 15, 2014 at 14:43 comment added Tom Leinster On reflection, I think I now understand where you were planning to go with the observations in your last (now second-to-last) paragraph. I'd misunderstood your intention before. So please ignore my point (iii).
Jul 15, 2014 at 14:04 history edited Neil Strickland CC BY-SA 3.0
Added last paragraph
Jul 15, 2014 at 13:39 comment added Neil Strickland @TomLeinster: under (iii), I do not know what you mean. Can you spell it out as an actual mathematical statement?
Jul 15, 2014 at 12:55 comment added Tom Leinster Thanks for that, Neil. Three thoughts: (i) I agree with you that what the voters are asked to do should probably be encoded as a species. (ii) Requiring symmetry in $C$ can lead to tie-breaking trouble (hence impossibility theorems of a rather trivial kind). I don't know what to say about that. (iii) As I hope I've now managed to communicate, your last paragraph does reduce the generality of the question I was asking.
Jul 15, 2014 at 12:38 history answered Neil Strickland CC BY-SA 3.0