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$\begingroup$ What prevents the final voter from picking the scrap up from the table and putting it back in the cup? $\endgroup$– BassCommented Dec 28, 2022 at 12:23
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$\begingroup$ What prevents the first no-voter from being found out? $\endgroup$– No NameCommented Dec 28, 2022 at 14:53
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$\begingroup$ You'd need to pass the cup around under the table and count on nobody being able to see the floor below it. $\endgroup$– Mark GreenCommented Dec 28, 2022 at 17:46
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$\begingroup$ @Bass Every solution on this page is vulnerable to many "bad actor" attacks. For this to work without some serious cryptography (which exists, see my comment to the OP), I think you need to assume all players are acting in good faith. $\endgroup$– BlueRaja - Danny PflughoeftCommented Dec 29, 2022 at 9:38
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$\begingroup$ Not so with mine! The only thing you can do is falsely indicate that you don't want dessert, when you do. You can't even collude with someone to learn any information. $\endgroup$– hedgedandleveredCommented Nov 13, 2023 at 22:33
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