Optimin achieves super-Nash performance

Mehmet S. Ismail

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arXiv · 2210.00625

Optimin achieves super-Nash performance

Mehmet S. Ismail

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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.

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Mehmet S. Ismail. 2022-10-02. Optimin achieves super-Nash performance. https://arxiv.org/abs/2210.00625

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