On the complexity of Pareto-optimal Nash and strong equilibria (Q372955)
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scientific article; zbMATH DE number 6217429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complexity of Pareto-optimal Nash and strong equilibria |
scientific article; zbMATH DE number 6217429 |
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On the complexity of Pareto-optimal Nash and strong equilibria (English)
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21 October 2013
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The authors consider computational complexity of strong and Pareto-optimal Nash equilibria in some classes of noncooperative games. First they show that a recognition task is polynomial for anonymous games, but the existence is NP-hard. The algorithm is based on a perfect matching scheme. It is shown that the recognition and computation task are polynomial for the special class of player-specific singleton congestion games, but existence and recognition are NP-hard in general congestion games.
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noncooperative games
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Nash equilibrium
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strong equilibrium
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Pareto optimality
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computational complexity
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congestion games
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