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arXiv · 1408.1017

The complexity of approximating a trembling hand perfect equilibrium of a multi-player game in strategic form

Kousha Etessami·Kristoffer Arnsfelt Hansen·Peter Bro Miltersen·Troels Bjerre Sorensen
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Abstract

We consider the task of computing an approximation of a trembling hand perfect equilibrium for an n-player game in strategic form, n >= 3. We show that this task is complete for the complexity class FIXP_a. In particular, the task is polynomial time equivalent to the task of computing an approximation of a Nash equilibrium in strategic form games with three (or more) players.

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Kousha Etessami, Kristoffer Arnsfelt Hansen, Peter Bro Miltersen, Troels Bjerre Sorensen. 2014-08-05. The complexity of approximating a trembling hand perfect equilibrium of a multi-player game in strategic form. https://arxiv.org/abs/1408.1017

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