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'''Single distributed vote''' (SDV) is an [[electoral system]] that extends the concept of [[Sequential proportional approval voting]] to [[Score voting]] ballots. It is general [[Cardinal voting systems|Cardinal voting system]] which reducedreduces to [[Sequential proportional approval voting]] with [[approval voting]] ballots. Proposed by [[Keith Edmonds]] in 2020,<ref> https://forum.electionscience.org/t/unifying-thiele-and-unitary-philosophy/604</ref> as a way to improve [[Reweighted Range Voting]] to be more in line with the desire to preserve vote weight. As such, it uses a similar but different vote conserving mechanism to [[Vote unitarity]].
==Procedure==
\end{equation}</math>
So theThe score matrix is the original one and the winner is the same as the [[Score voting]] winner. In the next round, the ballot weight is redistributed to the next potential winners in proportion to the score given to them. For the second winner, this amount would be
<math>\begin{equation}
\end{equation}</math>
So atAt the end of this round the second winner has 7/15 of the ballot weight leaving 8 /15 with the first. Following the same formula the third winner has 10/32 of the ballot weight at the end of the third round. This is because 8/32 and 14/32 needed to be left with the first and second winners respectively. Note that later winners can receive more ballot weight if they are scored higher than prior winners. The fourth round has no effect since the voter gave a score of zero to that winner. In the final round, the winner receives 2/44 since the first three winners had to hold 8/44, 14/44 and 20/44 of the ballot weight.
When selecting the winner at each round the ballot weight for the next potential winners all depend on the score given to them. The winner is selected as the sum of scores multiplied by the ballot weight from each voter.
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