Article ID: | iaor199984 |
Country: | Netherlands |
Volume: | 90 |
Issue: | 1 |
Start Page Number: | 78 |
End Page Number: | 84 |
Publication Date: | Apr 1996 |
Journal: | European Journal of Operational Research |
Authors: | Vohra Rakesh |
Keywords: | graphs |
We describe axioms that uniquely characterize the absolute median and the squared median (the point that minimizes the sum of squared distances) of a tree. A common feature of these characterizations is a Consistency axiom of the type first used by H.P. Young to characterize a voting procedure called Borda's rule. These results make it possible to argue in favor of, or against, a particular location in terms of principles satisfied or violated.