We study approachability theory in the presence of constraints. Given a repeated game with vector payoffs, we characterize the pairs of sets (A,D) in the payoff space such that Player 1 can guarantee that the long-run average payoff converges to the set A, while the average payoff always remains in D.

中文翻译：

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有约束的可接近性

我们在存在约束的情况下研究可接近性理论。给定一个带有向量收益的重复博弈，我们在收益空间中刻画 (A,D) 对集合，使得玩家 1 可以保证长期平均收益收敛到集合 A，而平均收益始终保持在 D .