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Hammond Transfers and Ordinal Inequality Measurement

Tom Gargani ()
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Tom Gargani: AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique

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Abstract: This article establishes a direct proof of the equivalence between two incomplete rankings of distributions of an ordinal attribute. The first ranking is the possibility of going from one distribution to another by a finite sequence of Hammond transfers. The second ranking is the intersection of two dominance criteria introduced by Gravel et al. (Economic Theory, 71 (2021), 33-80). The proof constructs an algorithm that provides a series of Hammond transfers, between any two distributions related by the intersection of the two dominances.

Keywords: Hammond Transfers; Inequality; Algorithm (search for similar items in EconPapers)
Date: 2025-04-29
Note: View the original document on HAL open archive server: https://hal.science/hal-05057584v1
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