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.

Type

Journal article

Intellectual base

Primary research

Year

1965

Link

https://heinonline.org/HOL/P?h=hein.journals/rutlr19&i=327

Cited from

economics_finance

Cited by

2 citations across 2 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).

Domain-specific

• Banzhaf power index
  • The index distinguishes formal voting weight from pivotal influence and depends on quota, coalition model, normalization, independence assumptions, and whether absolute or relative power is reported.

Verification

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