Title

Balanced 2–subsets

Authors

Mikhail V. Bludov
Oleg R. Musin, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2023

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.

Recommended Citation

Bludov, Mikhail V., and Oleg R. Musin. "Balanced 2-subsets." arXiv preprint arXiv:2302.13453 (2023).