Template-Type: ReDIF-Paper 1.0 Author-Name: McMorris, F.R. Author-Name-Last: McMorris Author-Name: Mulder, H.M. Author-Name-Last: Mulder Author-Name-First: Martyn Author-Name: Ortega, O. Author-Name-Last: Ortega Author-Name-First: Oscar Title: Axiomatic Characterization of the Mean Function on Trees Abstract: A mean of a sequence π = (x1, x2, . . . , xk) of elements of a finite metric space (X, d) is an element x for which is minimum. The function Mean whose domain is the set of all finite sequences on X and is defined by Mean(π) = { x | x is a mean of π } is called the mean function on X. In this paper the mean function on finite trees is characterized axiomatically. Creation-Date: 2010-02-23 File-URL: https://repub.eur.nl/pub/18261/EI2010-07.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2010-07 Keywords: consensus function, location function, mean function, median function, tree Handle: RePEc:ems:eureir:18261