Cooperative games with a simplicial core (Q2770048)
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scientific article; zbMATH DE number 1702486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cooperative games with a simplicial core |
scientific article; zbMATH DE number 1702486 |
Statements
20 February 2002
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\(n\)-person cooperative games
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imputation set
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core
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0.97314227
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0.9190314
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0.91453296
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0.9061451
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0.9036484
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Cooperative games with a simplicial core (English)
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A characterization is provided of \(n\)-person cooperative games having the property that the core is a subsimplex of the imputation set. Also a characterization of games where the core is a subsimplex of the dual imputation set is given, by using some duality relations for games. Finally, a geometric characterization of games with a non-empty core is provided.
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