Ranked Pairs minimizes the $p$-norm as $p \to \infty$

Fuente: arXiv
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Hauptverfasser: Aazami, Amir Babak, Bray, Hubert L.
Format: Preprint
Veröffentlicht: 2025
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author Aazami, Amir Babak
Bray, Hubert L.
author_facet Aazami, Amir Babak
Bray, Hubert L.
contents We prove that Ranked Pairs orders candidates in such a way as to minimize the $p$-norm, in the limit as $p \to \infty$, of those head-to-head margins of victory which go against its ordering.
format Preprint
id arxiv_https___arxiv_org_abs_2507_09654
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ranked Pairs minimizes the $p$-norm as $p \to \infty$
Aazami, Amir Babak
Bray, Hubert L.
Theoretical Economics
Computer Science and Game Theory
We prove that Ranked Pairs orders candidates in such a way as to minimize the $p$-norm, in the limit as $p \to \infty$, of those head-to-head margins of victory which go against its ordering.
title Ranked Pairs minimizes the $p$-norm as $p \to \infty$
topic Theoretical Economics
Computer Science and Game Theory
url https://arxiv.org/abs/2507.09654