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arXiv · 1711.06318

On the Verification and Computation of Strong Nash Equilibrium

Nicola Gatti·Marco Rocco·Tuomas Sandholm
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Abstract

Computing equilibria of games is a central task in computer science. A large number of results are known for \emph{Nash equilibrium} (NE). However, these can be adopted only when coalitions are not an issue. When instead agents can form coalitions, NE is inadequate and an appropriate solution concept is \emph{strong Nash equilibrium} (SNE). Few computational results are known about SNE. In this paper, we first study the problem of verifying whether a strategy profile is an SNE, showing that the problem is in $\mathcal{P}$. We then design a spatial branch--and--bound algorithm to find an SNE, and we experimentally evaluate the algorithm.

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Nicola Gatti, Marco Rocco, Tuomas Sandholm. 2017-11-16. On the Verification and Computation of Strong Nash Equilibrium. https://arxiv.org/abs/1711.06318

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