Implementing generating functions to obtain power indices with coalition configuration

Discrete Applied Mathematics(2016)

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摘要
We consider the Banzhaf–Coleman and Owen power indices for weighted majority games modified by a coalition configuration. We present calculation algorithms of them that make use of the method of generating functions. We programmed the procedure in the open language R and it is illustrated by a real life example taken from social sciences. To finish, we generalize the algorithms to a wider class of games.
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关键词
Weighted majority games,Power indices,Banzhaf–Coleman index,Shapley–Shubik index,Generating functions,Coalition configuration,Weighted multiple majority games
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