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A Necessary and Sufficient Condition for Approachability

Xavier Spinat

Source record

Source: Crossref

Published: Feb 1, 2002

DOI: 10.1287/moor.27.1.31.333

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Source abstract

In the framework of two-person repeated games with vector payoffs, Blackwell defined the property of approachability and introduced a sufficient condition for it. He also proved that this condition is necessary in the case of convex sets. We generalize this result: A set is approachable if and only if it contains a set that satisfies Blackwell's condition.

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A Necessary and Sufficient Condition for Approachability — Mathematical Frontier Network