Abstract
The purpose of this article is to study two indexes, the marginal index and the Banzhaf–Coleman index. For each of these two indexes, there is a corresponding reduced game that can be used to characterize it. In addition, we consider the efficient extensions of two indexes. In comparison to each characterization of two indexes, we establish a similar characterization for each extension of two indexes through an identical approach. Finally, for each of two efficient indexes, we propose a dynamic process leading to that corresponding efficient index, starting from an arbitrary efficient payoff vector.
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Hwang, YA., Liao, YH. Consistency and dynamic approach of indexes. Soc Choice Welf 34, 679–694 (2010). https://doi.org/10.1007/s00355-009-0423-3
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DOI: https://doi.org/10.1007/s00355-009-0423-3