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Polylogarithmic Nash Regret in Matrix Games with Bandit Feedback

Zhang, Yuheng
arXiv (All) · Papers
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computer-science-and-game-theorymachine-learning
We study Nash regret minimization in unknown finite matrix games with bandit payoff feedback and observed opponent actions. We develop Optimistic Payoff Balancing (OPB), which achieves instance-dependent $\mathcal{O}(\log^2 T)$ Nash regret against arbitrary adaptive opponents, including games with n
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