English

Axioms for consensus functions on the n-cube

Combinatorics 2016-06-15 v1

Abstract

An elementary general result is proved that allows for simple characterizations of well-known location/consensus functions (median, mean and center) on the n-cube. In addition, alternate new characterizations are given for the median and anti-median functions on the n-cube.

Keywords

Cite

@article{arxiv.1606.04125,
  title  = {Axioms for consensus functions on the n-cube},
  author = {C. Garcia-Martinez and F. R. McMorris and O. Ortega and R. C. Powers},
  journal= {arXiv preprint arXiv:1606.04125},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-06-22T14:24:24.145Z