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Wei_Dai comments on Timeless Decision Theory: Problems I Can't Solve - Less Wrong
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Eliezer, are you aware that there's an academic field studying issues like this? It's called Social Choice Theory, and happens to be covered in chapter 4 of Hervé Moulin's Fair Division and Collective Welfare, which I recommended in my post about Cooperative Game Theory.
I know you're probably approaching this problem from a different angle, but it should still be helpful to read what other researchers have written about it.
A separate comment I want to make is that if you want others to help you solve problems in "timeless decision theory", you really need to publish the results you've got already. What you're doing now is like if Einstein had asked people to help him predict the temperature of black holes before having published the general theory of relativity.
As far as needing a long sequence, are you assuming that the reader has no background in decision theory? What if you just write to an audience of professional decision theorists, or someone who has at least read "The Foundations of Causal Decision Theory" or the equivalent?
Seconded. I, for one, would be perfectly OK with posts requiring a lot of unfamiliar background math as long as they're correct and give references. For example, Scott Aaronson isn't afraid of scary topics and I'm not afraid of using his posts as entry points into the maze.
I want to note that this is also know in Cooperative Game Theory as an "empty core". (In Social Choice Theory it's studied under "majority cycling".) See http://www.research.rmutp.ac.th/research/Game%20Theory%20and%20Economic%20Analysis.pdf#page=85 for a good explanation of how Cooperative Game Theory views the problem. Unfortunately it doesn't look like anyone has a really good solution.