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Nash Social Welfare for Multi Armed Bandits 论文

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该研究针对公平多臂老虎机问题,提出轨迹式 Nash 遗憾 $\widetilde{\mathrm{NR}}_T$ 与高概率 Nash 遗憾 $\widehat{\mathrm{NR}}_T$,在完整样本路径上计算几何平均,弥补现有定义忽略各轮奖励联合分布的不足。

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Oct 7, 2026
  1. arXiv · Statistics Machine Learning
    多臂老虎机的 Nash 社会福利:轨迹式期望与高概率遗憾

    该研究针对公平多臂老虎机问题,提出轨迹式 Nash 遗憾 $\widetilde{\mathrm{NR}}_T$ 与高概率 Nash 遗憾 $\widehat{\mathrm{NR}}_T$,在完整样本路径上计算几何平均,弥补现有定义忽略各轮奖励联合分布的不足。

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