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oai:uvadoc.uva.es:10324/663982025-03-26T19:10:03Zcom_10324_32197com_10324_952com_10324_894com_10324_1146com_10324_931col_10324_32199col_10324_1262
Two characterizations of the dense rank García Lapresta, José Luis Martínez Panero, Miguel Producción Científica 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). 2024-02-27 2024-02-27 2024 info:eu-repo/semantics/article Journal of Mathematical Economics, 111, (2024) 102963 1873-1538 https://uvadoc.uva.es/handle/10324/66398 10.1016/j.jmateco.2024.102963 111 Journal of Mathematical Economics eng https://www.sciencedirect.com/science/article/pii/S0304406824000259?via%3Dihub info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © Elsevier Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier