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Statistics of cumulative voting

  1. Mar 19, 2013 #1


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    (Disclaimer: this is a mathematics question, not a social science question)
    It is not clear to me, given Arrow's impossibility theorem, why the most common forms of cumulative voting -- range, rank, and approval voting -- are advantageous over choice voting systems, such as elimination run-offs till a majority is reached, or even plurality-wins. As I understand it, cumulative voting systems are supposed to reduce the probability of vote dispersal (similar candidates splitting the bloc vote), but I do not see why. I am looking at it from a strictly mathematical viewpoint, so any answer should not bring in extraneous social considerations. Thanks.
  2. jcsd
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