Technically Exists

Identical input options criterion

The identical input options criterion requires that all voters have the same set of options for casting their ballot. If there exists some voter who can cast a vote that another voter cannot cast, then this criterion is not met.

More formally, a voting method $m$ passes the identical input options criterion if there exists some set of valid ballots $B$ such that a list of ballots $b_1, b_2, \dots, b_n$ is in the domain of $m$ if and only if $b_1, b_2, \dots, b_n \in B$.

The identical input options criterion is implied by the anonymity criterion and by the cancellation criterion.