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Found 41 papers, 1 papers with code
Matching under Imperfectly Transferable Utility
In this paper, we examine matching models with imperfectly transferable utility (ITU).
The matching problem with linear transfers is equivalent to a hide-and-seek game
Matching problems with linearly transferable utility (LTU) generalize the well-studied transferable utility (TU) case by relaxing the assumption that utility is transferred one-for-one within matched pairs.
On Sinkhorn's Algorithm and Choice Modeling
For a broad class of choice and ranking models based on Luce's choice axiom, including the Bradley--Terry--Luce and Plackett--Luce models, we show that the associated maximum likelihood estimation problems are equivalent to a classic matrix balancing problem with target row and column sums.
Existence of a Competitive Equilibrium with Substitutes, with Applications to Matching and Discrete Choice Models
We propose new results for the existence and uniqueness of a general nonparametric and nonseparable competitive equilibrium with substitutes.
Monotone comparative statics for submodular functions, with an application to aggregated deferred acceptance
We propose monotone comparative statics results for maximizers of submodular functions, as opposed to maximizers of supermodular functions as in the classical theory put forth by Veinott, Topkis, Milgrom, and Shannon among others.
A Note on the Estimation of Job Amenities and Labor Productivity
While our estimator is suited for a wide range of assignment problems, we provide an application to the estimation of the Value of a Statistical Life using compensating wage differentials for the risk of fatal injury on the job.
The Existence of Equilibrium Flows
Galichon, Samuelson and Vernet (2022) introduced a class of problems, equilibrium flow problems, that nests several classical economic models such as bipartite matching models, minimum-cost flow problems and hedonic pricing models.
Monotone Comparative Statics for Equilibrium Problems
We introduce a notion of substitutability for correspondences and establish a monotone comparative static result, unifying results such as the inverse isotonicity of M-matrices, Berry, Gandhi and Haile's identification of demand systems, monotone comparative statics, and results on the structure of the core of matching games without transfers (Gale and Shapley) and with transfers (Demange and Gale).
Estimating Separable Matching Models
In this paper we propose two simple methods to estimate models of matching with transferable and separable utility introduced in Galichon and Salani\'e (2022).
Yogurts Choose Consumers? Estimation of Random-Utility Models via Two-Sided Matching
The problem of demand inversion - a crucial step in the estimation of random utility discrete-choice models - is equivalent to the determination of stable outcomes in two-sided matching models.
Structural Estimation of Matching Markets with Transferable Utility
This paper provides an introduction to structural estimation methods for matching markets with transferable utility.
Fritz John's equation in mechanism design
We show the role that an important equation first studied by Fritz John plays in mechanism design.
Stable and extremely unequal
We highlight the tension between stability and equality in non transferable utility matching.
The unreasonable effectiveness of optimal transport in economics
Optimal transport has become part of the standard quantitative economics toolbox.
Cupid's Invisible Hand: Social Surplus and Identification in Matching Models
We investigate a model of one-to-one matching with transferable utility and general unobserved heterogeneity.
Vector quantile regression and optimal transport, from theory to numerics
In this paper, we first revisit the Koenker and Bassett variational approach to (univariate) quantile regression, emphasizing its link with latent factor representations and correlation maximization problems.
Matching with Trade-offs: Revealed Preferences over Competing Characteristics
We investigate in this paper the theory and econometrics of optimal matchings with competing criteria.
Inference in Incomplete Models
We provide a test for the specification of a structural model without identifying assumptions.
Set Identification in Models with Multiple Equilibria
We propose a computationally feasible way of deriving the identified features of models with multiple equilibria in pure or mixed strategies.
Canonical Correlation and Assortative Matching: A Remark
In the context of the Beckerian theory of marriage, when men and women match on a single-dimensional index that is the weighted sum of their respective multivariate attributes, many papers in the literature have used linear canonical correlation, and related techniques, in order to estimate these weights.
Entropy methods for identifying hedonic models
This paper contributes to the literature on hedonic models in two ways.
Personality Traits and the Marriage Market
Which and how many attributes are relevant for the sorting of agents in a matching market?
Like Attract Like? A Structural Comparison of Homogamy across Same-Sex and Different-Sex Households
In this paper, we build an equilibrium model of same-sex marriage market which allows for straightforward identification of the gains to marriage.
On Human Capital and Team Stability
In many economic contexts, agents from a same population team up to better exploit their human capital.
Local Utility and Multivariate Risk Aversion
We revisit Machina's local utility as a tool to analyze attitudes to multivariate risks.
Optimal transportation and the falsifiability of incompletely specified economic models
A general framework is given to analyze the falsifiability of economic models based on a sample of their observable components.
Comonotonic measures of multivariate risks
We propose a multivariate extension of a well-known characterization by S. Kusuoka of regular and coherent risk measures as maximal correlation functionals.
Ordinal and cardinal solution concepts for two-sided matching
We characterize solutions for two-sided matching, both in the transferable and in the nontransferable-utility frameworks, using a cardinal formulation.
Matching in Closed-Form: Equilibrium, Identification, and Comparative Statics
This paper provides closed-form formulas for a multidimensional two-sided matching problem with transferable utility and heterogeneity in tastes.
A test of non-identifying restrictions and confidence regions for partially identified parameters
We propose an easily implementable test of the validity of a set of theoretical restrictions on the relationship between economic variables, which do not necessarily identify the data generating process.
Extreme dependence for multivariate data
This article proposes a generalized notion of extreme multivariate dependence between two random vectors which relies on the extremality of the cross-covariance matrix between these two vectors.
Dilation bootstrap
We propose a methodology for constructing confidence regions with partially identified models of general form.
Identification of Matching Complementarities: A Geometric Viewpoint
We provide a geometric formulation of the problem of identification of the matching surplus function and we show how the estimation problem can be solved by the introduction of a generalized entropy function over the set of matchings.
The Econometrics and Some Properties of Separable Matching Models
We present a class of one-to-one matching models with perfectly transferable utility.
Dual theory of choice with multivariate risks
We propose a multivariate extension of Yaari's dual theory of choice under risk.
The housing problem and revealed preference theory: duality and an application
This paper exhibits a duality between the theory of Revealed Preference of Afriat and the housing allocation problem of Shapley and Scarf.
The VAR at Risk
I show that the structure of the firm is not neutral in respect to regulatory capital budgeted under rules which are based on the Value-at-Risk.
Matching Function Equilibria with Partial Assignment: Existence, Uniqueness and Estimation
We argue that models coming from a variety of fields, such as matching models and discrete choice models among others, share a common structure that we call matching function equilibria with partial assignment.
A survey of some recent applications of optimal transport methods to econometrics
This paper surveys recent applications of methods from the theory of optimal transport to econometric problems.
Identification of hedonic equilibrium and nonseparable simultaneous equations
This paper derives conditions under which preferences and technology are nonparametrically identified in hedonic equilibrium models, where products are differentiated along more than one dimension and agents are characterized by several dimensions of unobserved heterogeneity.
Vector Quantile Regression: An Optimal Transport Approach
Under correct specification, the notion produces strong representation, $Y=\beta \left(U\right) ^\top f(Z)$, for $f(Z)$ denoting a known set of transformations of $Z$, where $u \longmapsto \beta(u)^\top f(Z)$ is a monotone map, the gradient of a convex function, and the quantile regression coefficients $u \longmapsto \beta(u)$ have the interpretations analogous to that of the standard scalar quantile regression.
Methodology 49Q20, 49Q10, 90B20
