Probabilistic interactions among players of a cooperative game (Q2739369)
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scientific article; zbMATH DE number 1643864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Probabilistic interactions among players of a cooperative game |
scientific article; zbMATH DE number 1643864 |
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3 February 2003
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probabilistic values
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interaction of a coalition
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potential
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Probabilistic interactions among players of a cooperative game (English)
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The concept of probabilistic interaction among the players of a coalition is defined as an extension of the probabilistic values \textit{R. J. Weber} [The Shapley value. Essays in honor of Lloyd S. Shapley, 101-119 (1989; Zbl 0707.90100)]. Particular cases are the Shapley value and the Banzhaf value. The authors summarize the main results of their paper [Int. J. Game Theory 28, 547-565 (1999; Zbl 0940.91011)] where interactions are classified attending to some properties from an axiomatic point of view. Besides, they collect from different papers equivalent representations using the dividends and give links between the potential functions and the interactions. NEWLINENEWLINENEWLINEFor the entire collection see Zbl 0958.00049.
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