A Banzhaf share function for cooperative games in coalition structure (Q1863940)
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scientific article; zbMATH DE number 1880552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Banzhaf share function for cooperative games in coalition structure |
scientific article; zbMATH DE number 1880552 |
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A Banzhaf share function for cooperative games in coalition structure (English)
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12 March 2003
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Let \((N,v)\) be a cooperative game in coalition function form. Owen extended the Shapley value of \(v\) to a game with a coalition structure. This value so extended by Owen can be considered as a share function: it assigns to each player its share in the grand coalition. This paper constructs an analogous share function for the Banzhaf value.
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TU-game
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coalition structure
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Banzhaf share function
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multiplication property
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consistency
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Shapley value
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