Banzhaf power index 와 Shapley-Shubik power index 구하기

목차

1-1 Banzhaf power index
1-2 Shapley-Shubik power index
2-1 Banzhaf power index
2-2Shapley-Shubik power index

본문내용

1단계 : 모든 가능한 목록을 구한다.
․ (A),(B),(C),(D),(E),(F) = 6가지
․ (A,B),(A,C),(A,D),(A,E),(A,F),(B,C),(B,D),(B,E),(B,F),(C,D),(C,E),C,F), (D,E),(D,F),(E,F) = 15가지
․ (A,B,C),(A,B,D),(A,B,E),(A,B,F),(A,C,D),(A,C,E),(A,C,F),(A,D,E),(A,D,F),(A,E,F), (B,C,D),(B,C,E),(B,C,F),(B,D,E),(B,D,F),(B,E,F),(C,D,E),(C,D,F),(C,E,F),(D,E,F) = 20가지
․ (A,B,C,D),(A,B,C,E),(A,B,C,F),(A,B,D,E),(A,B,D,F),(A,B,E,F),(A,C,D,E),(A,C,D,F), (A,C,E,F),(A,D,E,F),(B,C,D,E),(B,C,D,F),(B,C,E,F),(B,D,E,F), (C,D,E,F) = 15가지
․ (A,B,C,D,E),(A,B,C,D,F),(A,B,C,E,F),(B,C,D,E,F) = 4가지
․ (A,B,C,D,E,F) = 1가지
⇒ 총 6+15+20+15+4+1=61가지

참고자료

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