Balanced 2-subsets

2023/02/27 by Mikhail V. Bludov, Bludov, Mikhail V., Oleg R. Musin +1 · 1 citation
Economics, Econometrics and Finance · Engineering · #Combinatorics (math.CO) #FOS: Mathematics #Game Theory and Voting Systems #Metric Geometry (math.MG) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2302.13453

openalex publication_date 2023/02/27 · openalex created_date 2023/03/03 · openalex updated_date 2026/07/28

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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• On the Homotopy Type of Balanced subsets

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