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Paretian social welfare relations and Baire property

2020/04/26 by Giorgio Laguzzi, Laguzzi, Giorgio, Ram Sewak Dubey +1
Economics, Econometrics and Finance · Mathematics · Social Sciences · #FOS: Mathematics #Law, Economics, and Judicial Systems #Legal principles and applications #Logic (math.LO) #Property Rights and Legal Doctrine #math.LO

paper · pdf · doi:10.48550/arxiv.2004.12505

This preprint has become part of the paper "Social welfare relations and irregular sets"

openalex publication_date 2020/04/26 · arxiv created 2020/11/10 · arxiv updated 2020/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the topological and set-theoretical nature of Paretian social welfare relations in a setting with infinite time horizon. Specifically, we answer questions posed in \citetmathias2020 about the interplay between total welfare relations satisfying Pareto and anonymity principles with subsets of real numbers not satisfying the Baire property.

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