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Unformatted text preview: yes or no Critical players {P1,P2} 7+5=12 Yes P1 and P2 {P1,P3} 7+3=10 No {P1,P4} 7+2=9 No {P2,P3} 5+3=8 No {P2,P4} 5+2=7 No {P3,P4} 3+2=5 No {P1,P2,P3} 7+5+3=15 Yes P1 and P2 {P1,P2,P4} 7+5+2=14 Yes P1 and P2 {P1,P3,P4} 7+3+2=12 Yes P1, P3,and P4 {P2,P3,P4} 5+3+2=10 No {P1,P2,P3,P4} 7+5+3+2=17 Yes P1 There are 10 instances of some player being critical. In 5 of those instances, P 1 is critical, in 3 instances P 2 is critical, once P 3 is critical, and once P 4 is critical. Thus the Banzhaf power distribution is as follows: Banzhaf power index P 1 5/10 = 50% P 2 3/10 = 30% P 3 1/10 = 10% P 4 1/10 = 10%...
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 Spring '07
 Berkowitz
 Math

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