What Pareto-Efficiency Adjustments Cannot Fix

Fuente: arXiv
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Autori principali: Ortega, Josue, Ziegler, Gabriel, Arribillaga, R. Pablo, Zhao, Geng
Natura: Preprint
Pubblicazione: 2025
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author Ortega, Josue
Ziegler, Gabriel
Arribillaga, R. Pablo
Zhao, Geng
author_facet Ortega, Josue
Ziegler, Gabriel
Arribillaga, R. Pablo
Zhao, Geng
contents The Deferred Acceptance (DA) algorithm is stable and strategy-proof, but can produce outcomes that are Pareto-inefficient for students, and thus several alternative mechanisms have been proposed to correct this inefficiency. However, we show that these mechanisms cannot correct DA's rank-inefficiency and inequality, because these shortcomings can arise even in cases where DA is Pareto-efficient. We also examine students' segregation in settings with advantaged and marginalized students. We prove that the demographic composition of every school is perfectly preserved under any Pareto-efficient mechanism that dominates DA, and consequently fully segregated schools under DA maintain their extreme homogeneity.
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id arxiv_https___arxiv_org_abs_2506_11660
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle What Pareto-Efficiency Adjustments Cannot Fix
Ortega, Josue
Ziegler, Gabriel
Arribillaga, R. Pablo
Zhao, Geng
Theoretical Economics
The Deferred Acceptance (DA) algorithm is stable and strategy-proof, but can produce outcomes that are Pareto-inefficient for students, and thus several alternative mechanisms have been proposed to correct this inefficiency. However, we show that these mechanisms cannot correct DA's rank-inefficiency and inequality, because these shortcomings can arise even in cases where DA is Pareto-efficient. We also examine students' segregation in settings with advantaged and marginalized students. We prove that the demographic composition of every school is perfectly preserved under any Pareto-efficient mechanism that dominates DA, and consequently fully segregated schools under DA maintain their extreme homogeneity.
title What Pareto-Efficiency Adjustments Cannot Fix
topic Theoretical Economics
url https://arxiv.org/abs/2506.11660