Ballot Tools

Browse all available ballot tools.

Available tools

Approval Set Ballot Count Tally Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Tally unique-candidate approval sets with one occurrence per ballot; repeated candidates reject instead of inflating support.
Approval Set Ballot Weight Tally Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Tally unique-candidate approval sets with explicit nonnegative weights; repeated candidates reject instead of inflating support.
Ballot Abstention Coverage Table Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Report whole-ballot abstentions separately from candidate non-observation in partial rankings/approval sets; missing does not imply opposition.
Ballot Candidate Occurrence Coverage Audit Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Audit unknown ballot candidate occurrences separately from candidates never observed, retaining all occurrence positions.
Ballot Candidate Repeat Per Ballot Audit Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Audit exact repeated candidate IDs within each ballot without automatically deduplicating or counting twice.
Ballot Tally Highest Score Tie Set Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Select every exact maximum supplied tally, preserving caller candidate order; empty evidence returns null maximum and no fabricated winner.
Ballot Tally Majority Denominator Audit Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Compare supplied support against explicit cast versus eligible denominators, with strict-majority and null zero-denominator evidence; quantities must use the same units.
Explicit Score Ballot Mean Tally Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Aggregate mean of aligned complete explicit numeric score rows; signed scores allowed, absent rows yield null means.
Explicit Score Ballot Sum Tally Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Aggregate sum of aligned complete explicit numeric score rows; signed scores allowed, absent rows yield zero sums.
Pairwise Ballot Three Candidate Cycle Witnesses Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Inventory strict directed three-candidate pairwise majority cycles once per rotation, retaining orientation; not a complete cycle decomposition.
Pairwise Ballot Unbeaten Candidate Selector Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Select all weakly unbeaten candidates under observed pairwise counts; no-observation ties remain unbeaten, not certified winners.
Rank Position Score Ballot Tally Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Apply explicit caller rank-position points to strict partial rankings; unranked candidates receive zero, no hidden Borda variant or tie ranks.
Ranked Ballot First Choice Support Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Count first listed strict-ranking choices; partial rankings are literal and absent candidates are not assumed bottom-ranked.
Ranked Ballot Last Choice Support Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Count last listed strict-ranking choices; partial rankings are literal and absent candidates are not assumed bottom-ranked.
Ranked Ballot Pairwise Margin Table Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Compute signed row-over-column preference margins under explicit-both-ranked pair policy, retaining ties and abstentions.
Ranked Ballot Pairwise Preference Table Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Count pair preferences only when both candidates are explicitly ranked, lower index preferred; unranked pairs abstain and diagonal is zero.
Single Choice Ballot Count Tally Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Tally occurrence count of single-choice ballots; empty ballots are abstentions, more than one choice rejects.
Single Choice Ballot Weight Tally Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Tally nonnegative supplied weight of single-choice ballots; empty ballots are abstentions, more than one choice rejects.
Strict Pairwise Ballot Winner Check Explicit supplied candidate IDs and finite ballot observations only; no voter authenticity, eligibility, audit certification or election-result guarantee. Require strictly greater observed preference against every other declared candidate; ties/unobserved pairs do not establish a strict winner.