RT info:eu-repo/semantics/article
T1 Two characterizations of the dense rank
A1 García Lapresta, José Luis
A1 Martínez Panero, Miguel
K1 Preferences
K1 Weak orders
K1 Positions
K1 Dense rank
K1 Duplication
K1 Truncation
K1 12 Matemáticas
AB In this paper, we have considered the dense rank for assigning positions to alternatives in weak orders. If we arrange the alternatives in tiers (i.e., indifference classes), the dense rank assigns position 1 to all the alternatives in the top tier, 2 to all the alternatives 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, modified and fractional ranks. 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, and upward or downward independency).
PB Elsevier
SN 1873-1538
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/66398
UL https://uvadoc.uva.es/handle/10324/66398
LA eng
NO Journal of Mathematical Economics, 111, (2024) 102963
NO Producción Científica
DS UVaDOC
RD 18-nov-2024