J. L. García Lapresta, M. Martínez Panero

In this paper, we have considered the dense rank for assigning positions to objects in weak orders (or complete preorders). If we arrange the objects in tiers (i.e., indifference classes), the dense rank assigns position 1 to all the objects in the top tier, 2 to all the objects in the second tier, and so on. We have proposed a formal framework to analyze the dense rank when compared to other well-known position operators such as the (standard) rank and the mid-rank. As the main results, we have provided two different axiomatic characterizations which determine the dense rank by considering position invariance conditions along horizontal extensions (duplication), as well as through vertical reductions and movements (truncation, upwards or downwards independency).

Keywords: preferences; linear orders; weak orders; positions; ranking level; dense rank.


Data Analysis
November 7, 2023  6:40 PM
HC2: Canónigos Room 2

Other papers in the same session

Análisis Topológico de Datos y Redes Complejas del Mercado de Valores de España durante la Covid-19

A. Mateos Caballero, V. Alcaraz López, A. Domínguez Monterroza, A. Moreno Díaz, A. Jiménez Martín

Cookie policy

We use cookies in order to be able to identify and authenticate you on the website. They are necessary for the correct functioning of it, and therefore they can not be disabled. If you continue browsing the website, you are agreeing with their acceptance, as well as our Privacy Policy.

Additionally, we use Google Analytics in order to analyze the website traffic. They also use cookies and you can accept or refuse them with the buttons below.

You can read more details about our Cookie Policy and our Privacy Policy.