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arxiv: 1712.00781 · v1 · pith:DKB56IEGnew · submitted 2017-12-03 · 🧮 math.OC

Approachability with Constraints

classification 🧮 math.OC
keywords payoffapproachabilityaverageconstraintsalwayscharacterizeconvergesgame
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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.

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