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arXiv · 2609.33225

The Complexity of Nash Equilibrium in Network Congestion and Coordination Games

Ioannis Anagnostides·Ioannis Panageas·Jingming Yan
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Abstract

We show that computing a Nash equilibrium is CLS-complete for linear network congestion and network coordination games. As a result, finding a KKT point of a bilinear polynomial is CLS-complete.

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Ioannis Anagnostides, Ioannis Panageas, Jingming Yan. 2026-09-27. The Complexity of Nash Equilibrium in Network Congestion and Coordination Games. https://arxiv.org/abs/2609.33225

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