Discrete Ch. 2 - Weighted Voting Flashcards

6024621168	weighted voting system	a formal voting system in which voters (players) are not equal in the number of votes they control	0
6024621169	quota	the number of votes needed to pass a motion	1
6025351562	weights	the number of votes each player controls	2
6024621170	players	the voters in a weighted voting system	3
6024624227	veto power	a player has this if a motion cannot pass unless he/she votes in favor of the motion	4
6024624228	dictator	a player whose weight is bigger than or equal to the quota; he/she can pass a motion	5
6024624229	dummy	a player who has no say in the outcome; the motion can pass whether this player is for or against it	6
6025389516	coalition	any set of players that vote the same way; the order listed is irrelevant	7
6025391271	grand coalition	the coalition that consists of all players	8
6024836120	number of coalitions	calculated by (2^N) - 1 where N is the number of players	9
6024832448	critical player	a player in a coalition that needs that player's votes to win	10
6024626424	Banzhaf power Index	the ratio of the number of times a player is critical to the total number of times all players are critical	11
6024628244	Banzhaf Power Distribution	the complete list of Banzhaf power indices	12
6024832449	pivotal player	in a sequential coalition, the player that contributes the votes that turn the coalition into a winning coalition	13
6025470202	sequential coalition	any set of players who vote the same way; the order listed is important	14
6024836121	number of sequential coalitions	calculated by N! where N is the number of players	15
6024749676	Shapley Shubik Power Index	the ratio of the number of times a player is pivotal to the total number of times all players are pivotal	16
6024630249	Shapley Shubik Power Distribution	the complete list of Shapley Shubik power indices	17
6024834431	factorial	multiplying a positive integer by each positive integer less than it (5! = 5x4x3x2x1)	18