Constrained optimal transport with applications to large matching markets

[2604.02559] Constrained optimal transport with applications to large matching markets Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Economics > Theoretical Economics arXiv:2604.02559 (econ) [Submitted on 2 Apr 2026 ( v1 ), last revised 15 Aug 2026 (this version, v2)] Title: Constrained optimal transport with applications to large matching markets Authors: Koji Yokote View a PDF of the paper titled Constrained optimal transport with applications to large matching markets, by Koji Yokote View PDF HTML (experimental) Abstract: We establish a variant of Monge--Kantorovich duality for matching problems with a continuum of agents, a finite set of alternatives, and general linear constraints. Under primal feasibility alone, both the primal and dual problems attain their optimal values, and the values coincide. We develop two applications. First, in a large market with indivisible goods, equilibrium prices are characterized as minimizers of a finite-dimensional convex potential function, and a t{â}tonnement-style subgradient process converges to equilibrium prices even in the presence of complementarities. Second, in a transferable-utility matching market with couples, where the core may be empty in finite markets, dual optimizers support a nonempty core in the continuum economy. These results extend optimal-transport methods to a broader class of constrained large matching markets. Subjects: Theoretical Economics (econ.TH) Cite as: arXiv:2604.02559 [econ.TH] (or arXiv:2604.02559v2 [econ.TH] for this version) https://doi.org/10.48550/arXiv.2604.02559 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Koji Yokote [ view email ] [v1] Thu, 2 Apr 2026 22:20:48 UTC (27 KB) [v2] Sat, 15 Aug 2026 08:30:17 UTC (28 KB) Full-text links: Access Paper: View a PDF of the paper titled Constrained optimal transport with applications to large matching markets, by Koji Yokote View PDF HTML (experimental) TeX Source view license Current browse context: econ.TH < prev | next > new | recent | 2026-04 Change to browse by: econ References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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) Major funding support from

Related documents

• SWAP: A Scalable, Warm-Startable, Anytime Permutation Solver for Optimal Transport#1064579
• From Tsallis to KL: Convergence and Error Estimates for Tsallis-Regularized Optimal Transport#974009
• Optimal Service Commitments in Traveling Salesman Problems with Stochastic Demand#999934
• Accelerated Algorithm for Sparse Regularized Partial Optimal Transport#1154344
• Accelerated Algorithm for Sparse Regularized Partial Optimal Transport#1136844