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- Shapley–Shubik_power_index abstract "The Shapley–Shubik power index was formulated by Lloyd Shapley and Martin Shubik in 1954 to measure the powers of players in a voting game. The index often reveals surprising power distribution that is not obvious on the surface.The constituents of a voting system, such as legislative bodies, executives, shareholders, individual legislators, and so forth, can be viewed as players in an n-player game. Players with the same preferences form coalitions. Any coalition that has enough votes to pass a bill or elect a candidate is called winning, and the others are called losing. Based on Shapley value, Shapley and Shubik concluded that the power of a coalition was not simply proportional to its size.The power of a coalition (or a player) is measured by the fraction of the possible voting sequences in which that coalition casts the deciding vote, that is, the vote that first guarantees passage or failure.The power index is normalized between 0 and 1. A power of 0 means that a coalition has no effect at all on the outcome of the game; and a power of 1 means a coalition determines the outcome by its vote. Also the sum of the powers of all the players is always equal to 1.There are some algorithms for calculating the power index, e.g., dynamic programming techniques, enumeration methods and Monte Carlo methods.".
- Shapley–Shubik_power_index wikiPageExternalLink index-e.cgi.
- Shapley–Shubik_power_index wikiPageExternalLink index.php.
- Shapley–Shubik_power_index wikiPageExternalLink ~ecaae.
- Shapley–Shubik_power_index wikiPageID "12055540".
- Shapley–Shubik_power_index wikiPageLength "4545".
- Shapley–Shubik_power_index wikiPageOutDegree "11".
- Shapley–Shubik_power_index wikiPageRevisionID "682403134".
- Shapley–Shubik_power_index wikiPageWikiLink Arrow_theorem.
- Shapley–Shubik_power_index wikiPageWikiLink Arrows_impossibility_theorem.
- Shapley–Shubik_power_index wikiPageWikiLink Banzhaf_power_index.
- Shapley–Shubik_power_index wikiPageWikiLink Category:Cooperative_games.
- Shapley–Shubik_power_index wikiPageWikiLink Category:Game_theory.
- Shapley–Shubik_power_index wikiPageWikiLink Category:Voting_systems.
- Shapley–Shubik_power_index wikiPageWikiLink Factorial.
- Shapley–Shubik_power_index wikiPageWikiLink Lloyd_Shapley.
- Shapley–Shubik_power_index wikiPageWikiLink Martin_Shubik.
- Shapley–Shubik_power_index wikiPageWikiLink N-player_game.
- Shapley–Shubik_power_index wikiPageWikiLink Shapley_value.
- Shapley–Shubik_power_index wikiPageWikiLinkText "Shapley–Shubik power index".
- Shapley–Shubik_power_index hasPhotoCollection Shapley–Shubik_power_index.
- Shapley–Shubik_power_index wikiPageUsesTemplate Template:Other_uses.
- Shapley–Shubik_power_index subject Category:Cooperative_games.
- Shapley–Shubik_power_index subject Category:Game_theory.
- Shapley–Shubik_power_index subject Category:Voting_systems.
- Shapley–Shubik_power_index comment "The Shapley–Shubik power index was formulated by Lloyd Shapley and Martin Shubik in 1954 to measure the powers of players in a voting game. The index often reveals surprising power distribution that is not obvious on the surface.The constituents of a voting system, such as legislative bodies, executives, shareholders, individual legislators, and so forth, can be viewed as players in an n-player game. Players with the same preferences form coalitions.".
- Shapley–Shubik_power_index label "Shapley–Shubik power index".
- Shapley–Shubik_power_index sameAs Índice_de_poder_de_Shapley-Shubik.
- Shapley–Shubik_power_index sameAs Indice_de_pouvoir_de_Shapley-Shubik.
- Shapley–Shubik_power_index sameAs מדד_הכוח_של_שפלי_ושוביק.
- Shapley–Shubik_power_index sameAs シャープレイ=シュービック投票力指数.
- Shapley–Shubik_power_index sameAs Indeks_siły_Shapleya-Shubika.
- Shapley–Shubik_power_index sameAs m.02vnb2c.
- Shapley–Shubik_power_index sameAs Q2915939.
- Shapley–Shubik_power_index sameAs Q2915939.
- Shapley–Shubik_power_index wasDerivedFrom Shapley–Shubik_power_index?oldid=682403134.
- Shapley–Shubik_power_index isPrimaryTopicOf Shapley–Shubik_power_index.