Balanced 2-subsets
Combinatorics
2023-02-28 v1 Metric Geometry
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.
Cite
@article{arxiv.2302.13453,
title = {Balanced 2-subsets},
author = {Mikhail V. Bludov and Oleg R. Musin},
journal= {arXiv preprint arXiv:2302.13453},
year = {2023}
}