Weighted Voting Doesn't Work¶
Banzhaf, J. F. I. (1965). Weighted Voting Doesn't Work: A Mathematical Analysis. Rutgers Law Review, 19(2), 317-343.
Retired. This entry was not a citation. Our extractor stored an inline prose definition from the article as though it were a bibliographic record: the title names a concept rather than a published work, and the citation text names no work at all. The page is kept because links to it still resolve, but it is withdrawn from the reference list. This entry is kept so the citations that pointed at it still resolve, and so the correction is visible rather than silent.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Pivotality
- The same cut-vertex can be read either way, but the prime's load-bearing prediction is leverage, not breakage. Not size or nominal share. Pivotality is necessity under a rule, which routinely diverges from stake, seat count, or headcount: a one-percent party can hold a third of the Banzhaf power.
This sourceIntroduces the Banzhaf power index — the fraction of coalitions in which a voter is a swing — showing pivotal share decouples from nominal weight (e.g., a weight-1 party holding one-third of the power).
- The same cut-vertex can be read either way, but the prime's load-bearing prediction is leverage, not breakage. Not size or nominal share. Pivotality is necessity under a rule, which routinely diverges from stake, seat count, or headcount: a one-percent party can hold a third of the Banzhaf power.
Domain-specific¶
Mechanisms¶
- Banzhaf Power Index
- The discipline is to read it as a structural baseline under a stated assumption, overlay preference and alliance information before acting, and recompute whenever the membership or the quota moves.
This sourceTreats voting power as a structural property of a specified weighted game, so changes in membership or quota require recomputation.
- The discipline is to read it as a structural baseline under a stated assumption, overlay preference and alliance information before acting, and recompute whenever the membership or the quota moves.
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.
Was it audited? Yes. A second, independent pass read the citation against the article text and recorded a verdict.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Links previously used in the corpus¶
Before the registry existed this work was also linked 2 other ways.
- https://cir.nii.ac.jp/crid/1570009750969875328 ×1
- https://heinonline.org/HOL/P?h=hein.journals/rutlr19&i=327 ×1
Registry ID ref:06c618d530c6 · see in the full table