Constrained optimal transport with an application to large markets with indivisible goods
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918426235109376 |
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| author | Yokote, Koji |
| author_facet | Yokote, Koji |
| contents | We establish a variant of Monge--Kantorovich duality for a constrained optimal transport problem with a continuum of agents, a finite set of alternatives, and general linear constraints. As an application, we revisit the large-market model of indivisible goods in Azevedo et al. (2013), identify a flaw in the original equilibrium-existence proof stemming from an incorrect compactness claim, and recover equilibrium existence via our duality approach. We also characterize equilibrium prices as minimizers of a potential function, which yields a method for computing equilibrium prices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02559 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Constrained optimal transport with an application to large markets with indivisible goods Yokote, Koji Theoretical Economics We establish a variant of Monge--Kantorovich duality for a constrained optimal transport problem with a continuum of agents, a finite set of alternatives, and general linear constraints. As an application, we revisit the large-market model of indivisible goods in Azevedo et al. (2013), identify a flaw in the original equilibrium-existence proof stemming from an incorrect compactness claim, and recover equilibrium existence via our duality approach. We also characterize equilibrium prices as minimizers of a potential function, which yields a method for computing equilibrium prices. |
| title | Constrained optimal transport with an application to large markets with indivisible goods |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2604.02559 |