An axiomatic characterization of some locations in trees

An axiomatic characterization of some locations in trees

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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:
Keywords: graphs
Abstract:

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.

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