Wasted votes: Difference between revisions

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== 1st generalization: Calculating the number of wasted votes under deterministic non-delegated voting methods that pass the participation criterion ==

For voting methods that pass the participation criterion, one possible way to define the number of wasted votes in an election under that voting method is as follows:

For voting methods that pass the [[participation criterion]], one possible way to define the number of wasted votes in an election under that voting method is as follows:

The number of wasted votes is equal to number of votes in the largest possible set of votes such that for any possible subset of votes in this set, removing those votes cannot change the election result. (footnote 1)

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== 2nd generalization: Calculating the number of wasted votes under all deterministic non-delegated voting methods ==

A 2nd possible generalization of the previous generalized definition of wasted votes to methods that do not pass the [[~~Participation~~ criterion]] is as fallows:

A 2nd possible generalization of the previous generalized definition of wasted votes to methods that do not pass the [[participation criterion]] is as fallows:

The number of wasted votes is equal to number of votes in the largest possible set of votes such that for any possible subset of votes in this set, removing those votes cannot change the election result if none of the voters who's votes are in that subset prefer the new election result to the old one.