Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness

By Pierre-Andre Chiappori, Robert J. McCann, L. Nesheim. 2007

286 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9a1b0fc21610e729a4358ad9aa829fa736de88a3

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Citations in the corpus

Nonparametric Identification and Estimation of Nonadditive Hedonic Models (2009, unknown): “See Ekeland (2005) or Chiappori, McCann, and Nesheim (2008) for details.”
The Marriage Market, Labor Supply, and Education Choice (2015, unknown): “for man m : sm = arg max s∈S {AM(H(s, θm))− cs(Xm, υms)} (15)”
Complementarity and Aggregate Implications of Assortative Matching: A Nonparametric Analysis (2014, unknown): “[32, 33] Manski, C. (2004), “Statistical treatment rules for heterogeneous populations.””
Optimal transportation, topology and uniqueness (2010, methodology): “setting by Chiappori, Nesheim, and McCann [27].”
Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models (2015, unknown): “We provide efficient algorithms to compute the stable matching and to estimate parametric versions of the model.”
Matching for teams (2010, methodology): “6 Linear programming reformulation Chiappori et al. (2008) gave a linear programming formulation of the hedonic price equilibrium problem.”
Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling (2015, background): “We mention [125] for an interesting discussion of this problem.”
Barycenters in the Wasserstein Space (2011, methodology): “Our interest in interpolating between more than two probability measures by minimizing an averaged sum of squared Wasserstein distances originated from the recent papers in mathematical economics by Carlier and Ekeland [4], and Chiappori, McCann and Nesheim [5] who studied matching and hedonic prici”
Optimal transportation with infinitely many marginals (2012, background): “t functions by Heinich [15], Carlier [6], Carlier and Nazaret [8] and the present author [25][24]. Applications for multi-marginal optimal transportation have also arisen in mathematical economics [7][9] and condensed matter physics [11][10]. Ourgoalin the presentarticleisto studythis problemin the ”
Multi-marginal optimal transport and multi-agent matching problems: uniqueness and structure of solutions (2012, background): “1, in terms of the matching models in [11] and [9].”
Five lectures on optimal transportation: Geometry, regularity and applications (2010, background): “On the applied side these include applications to vision (image registration and morphing [64]), economics (equilibration of supply with demand [42] [27], structure of cities [23], maximization of profits [118] [22] [49] or social welfare [49]), physics [40] [129] [95] [51], engineering (optimal sha”
Sorting Multidimensional Types: Theory and Application (2017, background): “[1992] (Theorem 4) and, for slightly modified environments, in Chiappori et al. [2010] and Ekeland [2010]. Notice that these papers do not guarantee that the equilibrium will be differentiable.”
Continuity, curvature, and the general covariance of optimal transportation (2007, result): “1 of [10] shows any Radon measure γ ≥ 0 on M × M̄ assigning zero outer measure to the complement of Graph(F ) has its first marginal ρ := π#γ pushed forward to its second marginal ρ̄ := π̄#γ = F#ρ by the map F .”
Iterative Bregman Projections for Regularized Transportation Problems (2014, background): “Multi-marginal Optimal Transport, [48, 47], is a natural extension of Optimal Transport with many potential ﬁelds of applications : Economics [22] [19], Density Functionnal Theory in Quantum Chemistry [24].”