Matching with Trade-Offs: Revealed Preferences Over Competing Characteristics

Galichon, Alfred; Salanié, Bernard

doi:10.2139/ssrn.1487307

Cited by 80 publications

(95 citation statements)

References 27 publications

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“…We now give the main result of this section, which extends Galichon and Salanié (2010) to the continuous case.…”

Section: Arnaud Dupuy and Alfred Galichonmentioning

confidence: 92%

Personality Traits and the Marriage Market

Dupuy,

Galichon

2012

SSRN Journal

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Personality Traits and the Marriage Market * Which and how many attributes are relevant for the sorting of agents in a matching market? This paper addresses these questions by constructing indices of mutual attractiveness that aggregate information about agents' attributes. The first k indices for agents on each side of the market provide the best approximation of the matching surplus by a k-dimensional model. The methodology is applied on a unique Dutch household survey containing information about education, height, BMI, health, attitude towards risk and personality traits of spouses. Three important empirical conclusions are drawn. First, sorting in the marriage market is not unidimensional: individuals face important trade-offs between the attributes of their spouses which are not amenable to a single-dimensional index. Second, although education explains a quarter of a couple's observable surplus, personality traits explain another 20%. Third, different personality traits matter differently for men and for women. JEL Classification:D3, J21, J23, J31

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“…We now give the main result of this section, which extends Galichon and Salanié (2010) to the continuous case.…”

Section: Arnaud Dupuy and Alfred Galichonmentioning

confidence: 92%

Personality Traits and the Marriage Market

Dupuy,

Galichon

2012

SSRN Journal

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“…This problem can be easily solved using the well-known entropic regularization method, [3,8,2]. It consists in regularizing W 2 by the entropy of the transport plan.…”

Section: Numerical Simulationsmentioning

confidence: 99%

On the Wasserstein distance between mutually singular measures

Buttazzo

Carlier

Laborde

2018

Advances in Calculus of Variations

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We study the Wasserstein distance between two measures µ, ν which are mutually singular. In particular, we are interested in minimization problems of the formwhere µ is a given probability and A is contained in the class µ ⊥ of probabilities that are singular with respect to µ. Several cases for A are considered; in particular, when A consists of L 1 densities bounded by a constant, the optimal solution is given by the characteristic function of a domain. Some regularity properties of these optimal domains are also studied. Some numerical simulations are included, as well as the double minimization problemwhere k > 0 is a fixed constant, P (A) is the perimeter of A, and both sets A, B may vary.

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“…This paper adopts the framework of Choo and Siow [6] and Galichon and Salanié [15] and imposes additional functional form and distributional assumptions that allow us to derive closed-form formulas for the surplus and the optimal matching. In this setting, one may solve easily problems that in the past have been computationally intensive.…”

Section: Resultsmentioning

confidence: 99%

“…Galichon and Salanié [15] show that the social welfare in this setting has a tractable formulation involving the entropy of the joint distribution, from which identification can be deduced.…”

Section: Introductionmentioning

confidence: 99%

Matching in Closed-Form: Equilibrium, Identification, and Comparative Statics

Bojilov

Galichon

2014

SSRN Journal

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Abstract. This paper provides closed-form formulas for a multidimensional two-sided matching problem with transferable utility and heterogeneity in tastes. When the matching surplus is quadratic, the marginal distributions of the characteristics are normal, and when the heterogeneity in tastes is of the continuous logit type, as in Choo and Siow (2006), we show that the optimal matching distribution is also jointly normal and can be computed in closed form from the model primitives. Conversely, the quadratic surplus function can be identified from the optimal matching distribution, also in closed-form. The analytical formulas make it computationally easy to solve problems with even a very large number of matches and allow for quantitative predictions about the evolution of the solution as the technology and the characteristics of the matching populations change.

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Matching with Trade-Offs: Revealed Preferences Over Competing Characteristics

Cited by 80 publications

References 27 publications

Personality Traits and the Marriage Market

Personality Traits and the Marriage Market

On the Wasserstein distance between mutually singular measures

Matching in Closed-Form: Equilibrium, Identification, and Comparative Statics

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