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by Stuart Armstrong 69 days ago | link | parent

How about using some conception of “coalition-stable”? In which an option has that property if there is no sub-coalition of players that can unilaterally increase their utility, whatever all the other players choose to do.



by Paul Christiano 66 days ago | Stuart Armstrong likes this | link

This is basically the core, though it’s usually defined for cooperative games, where (a) utility is transferrable and (b) adding a new player never makes an existing player worse off. It’s easy to generalize though.

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