Lattice operations for the stable set in many-to-many markets via re-equilibration dynamics

[2407.21198] Lattice operations for the stable set in many-to-many markets via re-equilibration dynamics Skip to main content Search Submit Donate Log in Economics > Theoretical Economics arXiv:2407.21198 (econ) [Submitted on 30 Jul 2024 ( v1 ), last revised 27 Aug 2026 (this version, v4)] Title: Lattice operations for the stable set in many-to-many markets via re-equilibration dynamics Authors: Agustin G. Bonifacio , Noelia Juarez , Paola B. Manasero View PDF HTML (experimental) Abstract: We compute the lattice operations for the (pairwise) stable set in many-to-many matching markets when only path-independence on agents' choice functions is imposed. To do this, we first show that the sets of firm-quasi-stable and worker-quasi-stable many-to-many matchings form lattices. Then, we construct Tarski operators on these lattices whose fixed points coincide with the set of stable matchings, and show that iterating these operators from suitable quasi-stable matchings yields the lattice operations in the stable set. These operators resemble lay-off and vacancy chain dynamics, respectively. Subjects: Theoretical Economics (econ.TH) ; Computer Science and Game Theory (cs.GT) Cite as: arXiv:2407.21198 [econ.TH] (or arXiv:2407.21198v4 [econ.TH] for this version) https://doi.org/10.48550/arXiv.2407.21198 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Agustin G. Bonifacio [ view email ] [v1] Tue, 30 Jul 2024 21:20:18 UTC (26 KB) [v2] Tue, 30 Dec 2025 05:39:41 UTC (24 KB) [v3] Tue, 12 May 2026 09:09:44 UTC (24 KB) [v4] Thu, 27 Aug 2026 09:58:05 UTC (25 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: econ.TH < prev | next > new | recent | 2024-07 Change to browse by: cs cs.GT econ References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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