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Discrete Ch. 2 - Weighted Voting Flashcards

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6024621168weighted voting systema formal voting system in which voters (players) are not equal in the number of votes they control0
6024621169quotathe number of votes needed to pass a motion1
6025351562weightsthe number of votes each player controls2
6024621170playersthe voters in a weighted voting system3
6024624227veto powera player has this if a motion cannot pass unless he/she votes in favor of the motion4
6024624228dictatora player whose weight is bigger than or equal to the quota; he/she can pass a motion5
6024624229dummya player who has no say in the outcome; the motion can pass whether this player is for or against it6
6025389516coalitionany set of players that vote the same way; the order listed is irrelevant7
6025391271grand coalitionthe coalition that consists of all players8
6024836120number of coalitionscalculated by (2^N) - 1 where N is the number of players9
6024832448critical playera player in a coalition that needs that player's votes to win10
6024626424Banzhaf power Indexthe ratio of the number of times a player is critical to the total number of times all players are critical11
6024628244Banzhaf Power Distributionthe complete list of Banzhaf power indices12
6024832449pivotal playerin a sequential coalition, the player that contributes the votes that turn the coalition into a winning coalition13
6025470202sequential coalitionany set of players who vote the same way; the order listed is important14
6024836121number of sequential coalitionscalculated by N! where N is the number of players15
6024749676Shapley Shubik Power Indexthe ratio of the number of times a player is pivotal to the total number of times all players are pivotal16
6024630249Shapley Shubik Power Distributionthe complete list of Shapley Shubik power indices17
6024834431factorialmultiplying a positive integer by each positive integer less than it (5! = 5x4x3x2x1)18

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