# Toronto-2022

## Lecture series

# Two lectures on matching models for family economics

*Invited lectures given at the University of Toronto, April 1 and April 8, 2022*

### Content

The first lecture will cover transferable utility (TU) matching models with logit heterogeneity following the seminal paper by Choo and Siow (JPE 2006), its extension and parametric estimation following Galichon and Salanié (Restud 2022).

The second lecture will discuss the interplay between models of matching and collective models as depicted in Browning and Chiappori’s (Cambridge, 2014) monograph, and how models of imperfectly transferable utility (ITU) and logit or more general heterogeneity are needed to address this new class of problems, as is done in Galichon, Kominers and Weber (JPE, 2019).

### Schedule

April 1 and April 8, 10am-12pm Eastern time, online.

### Course material

The lecture slides are available from the following github repository.

### References

These lectures are based on:

[GS] Galichon and Salanie (2022). Cupids invisible hands: Social Surplus and Identification in Matching Models. Review of Economic Studies.

[GKW] Galichon, Kominers and Weber (2019). Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility (2019). Journal of Political Economy.

[MEC-OPTIM] Galichon (2022). `math+econ+code’ masterclass on optimal transport and economic applications. https://www.math-econ-code.org/mec-optim

[MEC-EQUIL] Galichon (2022). `math+econ+code’ masterclass on equilibrium transport and matching models in economics. https://www.math-econ-code.org/mec-equil

### Outline

Lecture 1: Matching models with transferable utility:

Matching models as an optimization problem / regularized optimal transport / generalized linear models

Lecture 2: Matching models with imperfectly transferable / nontransferable utility:

Matching models as an equilibrium problem with substitutes