A Note on the Core of 2-Matching Games

Fuente: arXiv
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Autori principali: Sanità, Laura, Verberk, Lucy
Natura: Preprint
Pubblicazione: 2024
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author Sanità, Laura
Verberk, Lucy
author_facet Sanità, Laura
Verberk, Lucy
contents Cooperative 2-matching games are a generalization of cooperative matching games, where the value function is given by maximum-weight b-matchings, for a vertex capacity vector $b \leq 2$. We show how to separate over the core of 2-matching games in polynomial time, fixing a small flaw in the literature, and prove the existence of a compact extended formulation for it.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19227
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Note on the Core of 2-Matching Games
Sanità, Laura
Verberk, Lucy
Computer Science and Game Theory
Discrete Mathematics
91A12, 05C70
Cooperative 2-matching games are a generalization of cooperative matching games, where the value function is given by maximum-weight b-matchings, for a vertex capacity vector $b \leq 2$. We show how to separate over the core of 2-matching games in polynomial time, fixing a small flaw in the literature, and prove the existence of a compact extended formulation for it.
title A Note on the Core of 2-Matching Games
topic Computer Science and Game Theory
Discrete Mathematics
91A12, 05C70
url https://arxiv.org/abs/2411.19227