On core stability, vital coalitions, and extendability (Q1036591)
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scientific article; zbMATH DE number 5632631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On core stability, vital coalitions, and extendability |
scientific article; zbMATH DE number 5632631 |
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On core stability, vital coalitions, and extendability (English)
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13 November 2009
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Let \((N,v)\) be a TU game in coalition function form. The main result of the paper is a sufficient condition for \((N, v)\) to have a stable core: vital coalitions and exact coalitions are extendable. Also, vital-exact extendability is a necessary condition for core stability for matching games, simple flow games, and minimum coloring games.
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TU game
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core
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stable set
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extendability
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vital coalition
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0.8900335
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0.8768242
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0.8744476
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0.8474869
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0.8434603
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0.83580583
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