ToolJovia
Math

Exact Weighted Voting Power Review

Enumerate winning coalitions and distinguish vote weights from exact Banzhaf and Shapley–Shubik pivotal power.

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How to use Exact Weighted Voting Power Review

Enumerate each coalition once under a positive quota. A player is critical when adding them changes a losing coalition into a winning one. Exact counts yield normalized Banzhaf power, while permutation-cardinality weights yield Shapley–Shubik power and a checked total of one.

  1. Enter model json (schema and units below).
  2. Choose the stated convention and check the units and supported model.
  3. Calculate, inspect the result, then copy or download it.

Good to know

  • 1–20 distinct players, whole weights 0–1,000,000 and quota from 1 through total weight. At most 1,048,576 coalitions. This mathematical simple-game model assumes every coalition is possible; no political behavior, legal voting rule or negotiating recommendation is inferred.
  • Local calculation only; no input persistence or external lookup. Text/JSON is limited to 30000 characters and output to 1000000 characters. Numeric model inputs and precision/work limits are stated on this page. Approximate JSON numbers retain full stored values; exact arithmetic outputs retain decimal or fraction strings. Unsupported states fail explicitly.

Common questions

Can a positive vote weight have zero power?

Yes. A player who never changes a losing coalition into a winning coalition is a dummy in this quota model, even with a positive stated weight.

Is the input uploaded or saved?

No. The tool calculates inside this browser tab and provides a local download; it does not persist your input.

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