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arXiv · 2302.13453

Balanced 2-subsets

Mikhail V. Bludov·Oleg R. Musin
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Abstract

Balanced sets appeared in the 1960s in cooperative game theory as a part of nonempty core conditions. In this paper we present a classification of balanced families containing only 2-element subsets. We also discuss generalizations of the classical Sperner and Tucker lemmas using balanced sets.

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Mikhail V. Bludov, Oleg R. Musin. 2023-02-27. Balanced 2-subsets. https://doi.org/10.1134/s0001434623090122

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