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  • $\begingroup$ Are scales or elaborate non-programed devices allowed? $\endgroup$
    – bobble
    Commented Dec 26, 2022 at 22:49
  • $\begingroup$ Perhaps so? The difficulty is the set-up. For example, I did get the idea that you could have a system where each person was given a jar of liquid, and independently either poured their jar into a common tank which is out of sight or did not do so. If the vote is not unanimous nothing happens and no-one can see the tank level, but if the vote is unanimous the tank overflows out of the pouring hole. But then afterwards someone would have to drain the tank for the next vote, and if that person's not external, now they know if there was any water in it.. $\endgroup$
    – Mark Green
    Commented Dec 26, 2022 at 22:56
  • 7
    $\begingroup$ It it ok if some subset of participants could later get together and combine information they received during the protocol to determine others' votes, as long as each one couldn't learn anything on their own? $\endgroup$
    – xnor
    Commented Dec 26, 2022 at 23:27
  • 5
    $\begingroup$ Three logicians walk into a bar. The bartender asks, "Do all of you want a drink?" The first logician says, "I don't know." The second logician says, "I don't know." The third logician says, "Yes!" $\endgroup$
    – Wastrel
    Commented Dec 27, 2022 at 14:11
  • $\begingroup$ I fail to see how the question solves the situation described in the story. The story seems to be only about not wanting dessert when they are the only one. The question doesn't answer whether there are 2 or more, only whether all of them want it $\endgroup$
    – Ivo
    Commented Dec 29, 2022 at 8:37