General Matching Games

Felipe Garrido-Lucero; Rida Laraki

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arXiv · 2507.15737

General Matching Games

Felipe Garrido-Lucero·Rida Laraki

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Abstract

Matching games is a one-to-one two sided market model introduced by Garrido-Lucero and Laraki, in which coupled agents' utilities are endogenously determined as the outcome of a strategic game. They refine the classical pairwise stability by requiring robustness to renegotiation and provide general conditions under which pairwise stable and renegotiation-proof outcomes exist as the limit of a deferred acceptance with competitions algorithm together with a renegotiation process. In this article, we extend their model to a general setting encompassing most of one-to-many matching markets and roommates models and specify two frameworks under which core stable and renegotiation-proof outcomes exist and can be efficiently computed.

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BibTeX RIS

Felipe Garrido-Lucero, Rida Laraki. 2025-07-21. General Matching Games. https://arxiv.org/abs/2507.15737

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