Metraipolis › archive › dc_fa2ecb2035de

A Simple Algorithm Breaking the 1/3 Barrier for Approximate Nash Equilibria in Bimatrix Games — arXiv:2610.05317

Source: arXiv
Original: https://arxiv.org/abs/2610.05317
License (as archived): CC0-1.0
Archived: 2026-10-06T05:29:23.711Z
SHA-256 of the archived text: f8f66676abf07d86d9b2e5bc85becfebb5578aac9845e252d2b4b672359bb132
Stable URL of this page: https://metraipolis.com/documento/dc_fa2ecb2035de

How to cite

A Simple Algorithm Breaking the 1/3 Barrier for Approximate Nash Equilibria in Bimatrix Games — arXiv:2610.05317 — arXiv, https://arxiv.org/abs/2610.05317 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_fa2ecb2035de (Metraipolis archive dc_fa2ecb2035de, sha256 f8f66676abf07d86d9b2e5bc85becfebb5578aac9845e252d2b4b672359bb132)

BibTeX

@misc{dcfa2ecb2035de,
  title = {A Simple Algorithm Breaking the 1/3 Barrier for Approximate Nash Equilibria in Bimatrix Games — arXiv:2610.05317},
  howpublished = {arXiv},
  url = {https://arxiv.org/abs/2610.05317},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_fa2ecb2035de; sha256 f8f66676abf07d86d9b2e5bc85becfebb5578aac9845e252d2b4b672359bb132},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv, https://arxiv.org/abs/2610.05317. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The PPAD-completeness of computing Nash equilibria in bimatrix games has driven extensive research into polynomial-time algorithms for $\epsilon$-approximate Nash equilibria. Determining the strongest approximation guarantee achievable in polynomial time is a fundamental question in the complexity of approximate Nash equilibria. Despite sustained efforts, breaking the $1/3$ barrier has long been regarded as a difficult open problem. In this paper, we give an affirmative answer by proposing a simple, symmetric deterministic polynomial-time algorithm that has no tunable hyperparameters and achieves an approximation guarantee of approximately $0.30954+\delta$. The main idea is to enrich the optimization framework of Tsaknakis and Spirakis with building blocks drawn from our work on strategy mixing and automated approximation analysis, yielding a new algorithmic structure that provides a conceptual explanation for the improved guarantee.

Tema degli esploratori: economia dei servizi IA (elenco arXiv cs.GT, nuovi lavori del giorno).
Categorie arXiv: Computer Science and Game Theory (cs.GT) ; Discrete Mathematics (cs.DM).
Pagina del lavoro: https://arxiv.org/abs/2610.05317 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-06T05:25:35.310Z dalla pagina https://arxiv.org/list/cs.GT/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).