What Is a Voting Method? — Ballot vs Count, Plurality vs Majority¶

A recorded conversation — Larry (host) & Adam (expert) · Voting 101 · the foundation¶

📄 Prefer to read it as a reference? See the concept page What is a voting method? — a ballot and a count. This page is the spoken/video companion (with live-demo cues).

The primer episode — the one that comes before everything. Before spoilers, runoffs, or STAR, Larry and Adam settle what a "voting method" even is, and untangle the two words people mix up most: plurality and majority. Keep this one slow and friendly; every later episode assumes it.

Cues: [DEMO] run a file live · [SLIDE] show a slide · [REPO] lesson file.

Part 1 — What is a voting method?¶

Segment 1 — The two parts¶

Larry: Start at zero for me. What is a voting method?

Adam: It's the rule that turns a stack of individual ballots into one collective decision. And the key thing — the single most useful idea in this whole topic — is that it's really two parts, not one. First, the ballot: what voters get to express — pick one, rank them, score them, or choose several. Second, the count: how you turn those marks into a winner — add them up, average them, simulate a runoff, or check who beats whom head-to-head.

Larry: And those two are independent?

Adam: The format is — the same ballot can be counted several different ways, and they can crown different winners. A ranked ballot can be run as instant-runoff, or as a Condorcet "who-beats-everyone" count, or proportionally. But here's the catch, and it's the whole reason to name both parts: a method is a ballot and a count working together, and you can't judge one without the other. The ballot is the easy, likeable half — the part you're shown. The count is where the winner actually comes from — and it's the half people get talked into ignoring.

Larry: So "ranked-choice" only tells me the ballot.

Adam: Exactly. Someone says "ranked-choice is great" and they've described the ballot — they haven't told you how it's counted, which is the part that decides the election. The trick isn't to admire the two parts apart; it's to never let them be split — when someone praises a ballot, ask, "fine, now how do you count it?"

[REPO] CLAUDE.md terminology policy and GLOSSARY.md — "Ballot," "Tabulation," "Voting method."

Segment 2 — Why it matters that there's a choice at all¶

Larry: Does the method really change anything, or is it just plumbing that reports what people want?

Adam: It's not neutral plumbing — it's part of what decides the outcome. Different methods can pick different winners from the exact same ballots. That gap is widest in two situations: when there are several similar candidates — that's where "vote splitting" bites — and when opinion is polarized or the question's more complicated than a simple yes/no.

Larry: So picking the method is itself a real decision.

Adam: Right. One honest, careful version of the claim: richer ballots — ranking or scoring — can capture more information than choose-one, and that added expressiveness matters more as the questions get harder.

[SLIDE] Full Deck — "Rating vs Ranking" (more expressive ballots carry more info).

Part 2 — Plurality vs Majority¶

Segment 3 — Two different bars¶

Larry: You always tell me to keep "plurality" and "majority" straight. What's the difference?

Adam: They're two different winning thresholds. Plurality means the most votes wins — even if that's well under half; that's "first-past-the-post" or "choose-one." Majority means more than half — fifty percent plus one. In a two-way race they're the same thing: the most votes is over half. The gap only opens up with three or more candidates.

Larry: And that gap is where the trouble lives?

Adam: That gap is the trouble. Let me show you the smallest version.

[REPO] GLOSSARY.md — "Plurality / minority winner," "Majority finish."

Segment 4 — The 40% winner a majority voted against¶

Larry: Show me.

Adam: A hundred voters, three candidates. First choices: Andre forty, Blake thirty-five, Carmen twenty-five. Under plurality, Andre wins — most votes. But look: sixty of a hundred wanted someone else. Andre has no majority. And if Blake and Carmen are two flavors of the same coalition, choose-one just split a sixty-vote bloc and crowned the one candidate a majority actively opposed.

Larry: So the winner is the candidate most people were against.

Adam: Exactly — and a majority rule wouldn't accept that. Since nobody cleared half, it demands another step: a runoff. STAR's automatic runoff is that step — after scoring, the top two meet head-to-head, and the winner holds a majority between those two. Said precisely: that's a majority over the other finalist — not a proof the winner is everyone's favorite across the whole field, but exactly the thing plurality never even checks.

[DEMO] 00_plurality_vs_majority.yaml — Choose-One elects Andre (40%, a candidate 60% voted against); STAR elects Blake, the coalition's consensus. [Divergence from STAR] shows Choose-One (Plurality) = Andre disagreeing with STAR, and the [Vote-splitting check] prints the 60-vote coalition in numbers.

Segment 5 — The two takeaways¶

Larry: Give me the lines I can walk away with.

Adam: Two of them. The first is the framing: "A voting method is a ballot and a count — and you have to judge them together. The ballot is the part you're shown; the count is where the winner actually comes from. So when someone praises the ballot, ask how it's counted." The second is the warning: "'Most votes' isn't 'over half.' Choose-one plurality is the method that most easily crowns the candidate a majority voted against."

Where this fits in the overall teaching¶

Level: 101 · for voters — the foundation. Play it before the "is the system broken?" diagnosis and the spoiler-effect mechanism; both assume ballot-vs-count and plurality-vs-majority are already clear.
Pairs with: our_voting_system_is_broken.md (the diagnosis that builds on this) and whats_so_good_about_STAR_Voting.md (the fix). This episode is purely definitional — no STAR pitch yet beyond showing the runoff as "the majority step."
Terminology: keep Choose-One / Plurality for a public audience. Hold the ballot-vs-tabulation distinction precisely — it's the spine of the whole curriculum.

Cross-references: - GLOSSARY.md — "Ballot," "Tabulation," "Choose-One / Plurality / First-Past-The-Post," "Plurality / minority winner," "Majority finish," "Vote splitting." - our_voting_system_is_broken.md — the next episode (1.5). - 00_plurality_vs_majority.yaml — the live demo for Segment 4. - LINKS.md → Full Deck 2025 ("Rating vs Ranking," "Problem: Vote-Splitting"). - Source: Google Doc "Voting Method - what is it?" (the ballot/count framing and the Andre/Blake/Carmen plurality table this episode is built from).

file: what_is_a_voting_method.md¶