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MCDMCooperative game theory / social choice

Voting Power Index Analysis

Voting power index analysis measures the a priori capacity of each member of a weighted voting body to influence collective decisions, defined as the probability that the member is pivotal — that their vote turns a losing coalition into a winning one. The two canonical indices are the Shapley-Shubik index, introduced by Lloyd Shapley and Martin Shubik in 1954 as a specialization of the Shapley value to simple voting games, and the Banzhaf index, formalized by John Banzhaf in 1965. Both reveal that a player's share of power generally differs sharply from its share of votes.

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  1. Shapley, L. S., & Shubik, M. (1954). A Method for Evaluating the Distribution of Power in a Committee System. American Political Science Review, 48(3), 787-792. DOI: 10.2307/1951053
  2. Felsenthal, D. S., & Machover, M. (1998). The Measurement of Voting Power: Theory and Practice, Problems and Paradoxes. Edward Elgar. ISBN: 9781858989273

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 22). Voting Power Indices (Shapley-Shubik and Banzhaf). ScholarGate. https://scholargate.app/sw/political-science/power-index-analysis

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ScholarGateVoting Power Index Analysis (Voting Power Indices (Shapley-Shubik and Banzhaf)). Imepatikana 2026-06-24 kutoka https://scholargate.app/sw/political-science/power-index-analysis · Seti ya data: https://doi.org/10.5281/zenodo.20539026