Cumulative voting: Difference between revisions

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Oops, not Approval but Range. Fix.
(Add lp-norm generalization)
m (Oops, not Approval but Range. Fix.)
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Cumulative voting can be further generalized into <math>\ell_p</math>-norm cumulative voting, where a voter submits a cardinal (Range-style) ballot and that ballot is normalized to have unit <math>p</math>-norm before it is counted.
 
If <math>p = 1</math>, then <math>\ell_p</math>-norm cumulative voting is standard cumulative voting. If <math>p=2</math>, then it is quadratic voting, and <math>p=\infty</math> results in ApprovalRange voting (with the highest-rated candidate scaled up to maximum rating).
 
The optimal tactical vote depends heavily on <math>p</math>. For instance, vote-splitting is a problem in standard cumulative voting but is not in ApprovalRange voting. On the other hand, the Burr dilemma is a problem in Approval voting (and thus in tactical Range voting) but not in standard cumulative voting.
 
== Notes ==
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