Jobst, I'm still digesting this. I'm always interested in potentially good "lottery methods." Here's my latest attempt: Voters first submit approvals, and the candidates are listed in order of approval. Each voter then submits a number between 1 and the number of candidates (to be used as explained below). Let K be the median of these submitted numbers. A random voter picks a candidate from the top K candidates in the approval list. I have a way of automating this from ordinal ballots with approval cutoffs, but I don't have time to describe it here. Example: 51 A>B>>C 49 C>B>>A The approval order is B>A>C . The 51 direct supporters of A submit the number 2, which is the median K.. The winner is chosen by random voter from the top two approval candidates B and A. So the winning lottery is 51A+49B. Even though B had 100 percent approval, the majority winner A gets the most probability. Forest
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