Solution to ASAP Determine all the winning coalitions and find the Banzhaf power distribution [16:5,5,11,6,3] SHOW ALL … - Sikademy
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ASAP Determine all the winning coalitions and find the Banzhaf power distribution [16:5,5,11,6,3] SHOW ALL WORK

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Weighed voting system [16:5,5,11,6,3] \iff [7:5,4,3]


P_1=5; P_2=4; P_3=3

Critical count

To determine a voter's power using the Banzhaf index, first list all of the winning coalitions, then count the crucial voters. A crucial voter is one whose vote, if altered from yes to no, would cause the proposition to fail. The proportion of all swing votes that a voter could cast is used to calculate his voting power.


Number of coalitions for which the players are critical (Banzhaf power distribution)

Critical count for P1 =3

Critical count for P2 =1

Critical count for P3 =1

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Question ID: mtid-5-stid-8-sqid-1448-qpid-1186