The complexity of uniform Nash equilibria and related regular subgraph problems (Q935157)
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scientific article; zbMATH DE number 5306537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The complexity of uniform Nash equilibria and related regular subgraph problems |
scientific article; zbMATH DE number 5306537 |
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The complexity of uniform Nash equilibria and related regular subgraph problems (English)
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31 July 2008
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The complexity of finding uniform Nash equilibria is investigated. A Nash equilibrium is uniform if, for each player, all the strategies played with non-zero probability are assigned the same probability. It is shown that, even for a restricted class of win-lose bimatrix games, deciding the existence of such uniform equilibria is an NP-complete problem. The proof is graph-theoretical. As a related result it is shown that it is NP-complete to decide if a graph has an induced regular subgraph of large size or regularity.
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computational complexity
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NP-completeness
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uniform Nash equilibrium
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regular induced subgraph
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