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.
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.
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.
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.