Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/117921
Authors: 
Gravel, Nicolas
Bervoets, Sebastian
Year of Publication: 
2004
Series/Report no.: 
Nota di Lavoro, Fondazione Eni Enrico Mattei 45.2004
Abstract: 
This paper provides an axiomatic characterization of two rules for comparing alternative sets of objects on the basis of the diversity that they offer. The framework considered assumes a finite universe of objects and an a priori given ordinal quadernary relation that compares alternative pairs of objects on the basis of their ordinal dissimilarity. Very few properties of this quadernary relation are assumed (beside completeness, transitivity and a very natural form of symmetry). The two rules that we characterize are the maxi-max criterion and the lexi-max criterion. The maxi-max criterion considers that a set is more diverse than another if and only if the two objects that are the most dissimilar in the former are weakly as dissimilar as the two most dissimilar objects in the later. The lexi-max criterion is defined as usual as the lexicographic extension of the maxi-max criterion. Some connections with the broader issue of measuring freedom of choice are also provided.
Subjects: 
Diversity
Measurement
Axioms
Freedom of choice
JEL: 
D63
D69
Q20
Document Type: 
Working Paper

Files in This Item:
File
Size





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.