English

A Note on the Core of 2-Matching Games

Computer Science and Game Theory 2025-02-12 v2 Discrete Mathematics

Abstract

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 b2b \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.

Keywords

Cite

@article{arxiv.2411.19227,
  title  = {A Note on the Core of 2-Matching Games},
  author = {Laura Sanità and Lucy Verberk},
  journal= {arXiv preprint arXiv:2411.19227},
  year   = {2025}
}