Axioms for consensus functions on the n-cube
  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. 
C. Garcia-Martinez, F.R. McMorris, O. Ortega and R.C. Powers
math.CO