Diversity Relations over Menus

21 Pages Posted: 27 Mar 2017 Last revised: 2 Jan 2020

See all articles by Jimena Galindo

Jimena Galindo

Instituto Tecnológico Autónomo de México (ITAM)

Levent Ulku

Instituto Tecnológico Autónomo de México (ITAM)

Date Written: December 31, 2019

Abstract

We study three classes of diversity relations over menus arising from an unobserved categorization of alternatives in the form of a partition. A basic diversity relation declares a menu to be more diverse than another if and only if for every alternative in the latter there is an alternative in the former which belongs to the same category. An extension of a basic diversity relation preserves its weak and strict parts and possibly makes additional diversity judgements between hitherto incomparable menus. A cardinality-based extension is an extension which ranks menus on the basis of the number of categories that exist in each menu. We characterize each class axiomatically. Two axioms satisfied by each of the three classes are Monotonicity, which says that larger menus are at least as diverse, and No Complements, which rules out certain complementarities between alternatives in generating diversity.

Keywords: Diversity, categories freedom of choice

JEL Classification: D0

Suggested Citation

Galindo, Jimena and Ulku, Levent, Diversity Relations over Menus (December 31, 2019). Available at SSRN: https://ssrn.com/abstract=2939904 or http://dx.doi.org/10.2139/ssrn.2939904

Jimena Galindo

Instituto Tecnológico Autónomo de México (ITAM) ( email )

Av. Camino a Sta. Teresa 930
Col. Héroes de Padierna
Mexico City, D.F. 01000, Federal District 01080
Mexico

Levent Ulku (Contact Author)

Instituto Tecnológico Autónomo de México (ITAM) ( email )

Av. Camino a Sta. Teresa 930
Col. Héroes de Padierna
Mexico City, D.F. 01000, Federal District 01080
Mexico

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