inspired a bit more about how this could work based on playing The Mind
you have a similar gameplay mechanic of there being random cards being played in some order that's collectively determined
but each person has a different condition that the process needs to satisfy
although this is MAYBE a pretty big departure from The Mind in that (at least in the variant I played—I believe there's more) there's sort of a single answer to "what order do cards need to be played in?" and so you can't add more constraints because they'd either contradict or be redundant
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ah, although, if it's not based on getting a perfect ordering but more based on some sort of sequence that maximizes a bunch of different scalar functions
which could be functions of the (a,b) card order, such that in some cases (b,a) would get a very different output
basically you have a bunch of moves to play, and each move will gain/lose each player n points
and you want to sort of max out the total points