English

Optimin achieves super-Nash performance

Computer Science and Game Theory 2023-09-07 v1 Theoretical Economics

Abstract

Since the 1990s, AI systems have achieved superhuman performance in major zero-sum games where "winning" has an unambiguous definition. However, most social interactions are mixed-motive games, where measuring the performance of AI systems is a non-trivial task. In this paper, I propose a novel benchmark called super-Nash performance to assess the performance of AI systems in mixed-motive settings. I show that a solution concept called optimin achieves super-Nash performance in every n-person game, i.e., for every Nash equilibrium there exists an optimin where every player not only receives but also guarantees super-Nash payoffs even if the others deviate unilaterally and profitably from the optimin.

Keywords

Cite

@article{arxiv.2210.00625,
  title  = {Optimin achieves super-Nash performance},
  author = {Mehmet S. Ismail},
  journal= {arXiv preprint arXiv:2210.00625},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1912.00211

R2 v1 2026-06-28T02:34:04.259Z