arXiv 5 Apr 2026 · Econometrics
arXiv:2604.04227 · PDF · DOI · OpenAlex · Extracted main text
We propose an overview of optimal transport theory and its applications to econometric methodology. This review is specifically designed for practitioners, be they econometric theorists or applied econometricians. The review of applications of optimal transport to econometrics is organized around the particular aspects of the mathematical theory of optimal transport they rely on.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Villani, Cédric (2008) Optimal transport: old and new | 0.874 | 20 | 2 | 100% |
| 2 | Villani, Cédric (2003) Topics in optimal transportation | 0.874 | 11 | 2 | 100% |
| 3 | Galichon, Alfred and Salanié, Bernard (2022) Cupid’s invisible hand: Social surplus and identification in matching models self | 0.874 | 9 | 2 | 100% |
| 4 | Santambrogio, Filippo (2015) Optimal transport for applied mathematicians | 0.874 | 9 | 2 | 100% |
| 5 | Chewi, Sinho and Niles-Weed, Jonathan and Rigollet, Philippe (2024) Statistical optimal transport | 0.874 | 7 | 2 | 100% |
| 6 | Chernozhukov, Victor and Galichon, Alfred and Hallin, Marc and Henry… (2017) Monge–Kantorovich depth, quantiles, ranks and signs self | 0.811 | 4 | 2 | 100% |
| 7 | Peyré, Gabriel and Cuturi, Marco and others (2019) Computational optimal transport: With applications to data science | 0.811 | 4 | 2 | 100% |
| 8 | Carlier, Guillaume and Dupuy, Arnaud and Galichon, Alfred and Sun, Y… (2023) Sista: learning optimal transport costs under sparsity constraints self | 0.737 | 3 | 2 | 100% |
| 9 | Galichon, Alfred (2016) Optimal transport methods in economics self | 0.737 | 3 | 2 | 100% |
| 10 | Fan, Yanqin and Henry, Marc and Pass, Brendan and Rivero, Jorge A (2024) Multidimensional Inequality Measurement via Optimal Transport self | 0.693 | 8 | 1 | 100% |
Showing the top 10 of 156 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Distributional Change in Ordinal Data with Missing Observations: Minimal Mobility and Partial Identification | 0.405 | 1 | 1 |