Alfred Galichon
- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691172767
- eISBN:
- 9781400883592
- Item type:
- book
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691172767.001.0001
- Subject:
- Economics and Finance, Microeconomics
Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the ...
More
Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. The book also features numerous exercises throughout that help to develop mathematical agility, deepen computational skills, and strengthen economic intuition.Less
Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. The book also features numerous exercises throughout that help to develop mathematical agility, deepen computational skills, and strengthen economic intuition.
Alfred Galichon
- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691172767
- eISBN:
- 9781400883592
- Item type:
- chapter
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691172767.003.0009
- Subject:
- Economics and Finance, Microeconomics
This chapter presents a number of applications of optimal transport theory to economics. These applications are biased toward the author's own research. The emphasis is put on the formal structures, ...
More
This chapter presents a number of applications of optimal transport theory to economics. These applications are biased toward the author's own research. The emphasis is put on the formal structures, in particular in connection with optimal transport. Thus, the results are presented somewhat loosely, and empirical applications are not discussed at all. The applications include: partial identification in econometrics in section, inversion of demand systems in section, computation of hedonic equilibria, identification via vector quantile methods, quantile regression, multidimensional screening, and pricing of financial derivatives.Less
This chapter presents a number of applications of optimal transport theory to economics. These applications are biased toward the author's own research. The emphasis is put on the formal structures, in particular in connection with optimal transport. Thus, the results are presented somewhat loosely, and empirical applications are not discussed at all. The applications include: partial identification in econometrics in section, inversion of demand systems in section, computation of hedonic equilibria, identification via vector quantile methods, quantile regression, multidimensional screening, and pricing of financial derivatives.
