PoliticalScienceApril13

- Wednesday April 13th Banzef weighted voting Concerned with how weighting affects power distribution sometimes it does not the total number is

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Wednesday April 13 th Banzef weighted voting Concerned with how weighting affects power distribution ( sometimes it does not) the total number is 7 (3,2,2) so the Decision rule is 4 and the minimum winning coalition is the minimum number of partners where one defection can defeat the coalition so we rewrite (4;3,2(i),2(ii) so most people see player 3 as the most influential; Banzef does not thinks so the minimum winning coalitions are as follow for (4;3,2(i),2(ii) ) (3,2(i) ) (3,2(ii) ) (2(ii),2(i) ) But the grand coalition is not a minimum winning coalition ((3,2(ii), 2(i) ) so in a table showing the critical defectors ( can they affect it) the decision rule is the minimum win number 4 3 is it a critical defector 2(i) is it a critical defector (2(ii)is it a critical defector (3,2(i) X X (3,2(ii) X X (2(i),(2(ii) X X Total number of critical defectors 2 OUT OF 6 or .33 is the banzef index 2 OUT OF 6 or .33 is the banzef index 2 OUT OF 6 or .33 is the banzef index so the three vote member is no more critical than the other 2 members so even
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This note was uploaded on 05/04/2011 for the course POLITICS V53.0810 taught by Professor Stevenjbrams during the Spring '11 term at NYU.

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- Wednesday April 13th Banzef weighted voting Concerned with how weighting affects power distribution sometimes it does not the total number is

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