Open AccessCombinatorial approach to inference in partially identified incomplete structural models
Author(s) -
Henry Marc,
Méango Romuald,
Queyranne Maurice
Publication year - 2015
Publication title -
quantitative economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.062
H-Index - 27
eISSN - 1759-7331
pISSN - 1759-7323
DOI - 10.3982/qe377
Subject(s) - inference , moment (physics) , computer science , discrete choice , mathematical optimization , characterization (materials science) , mathematics , algorithm , econometrics , artificial intelligence , physics , materials science , classical mechanics , nanotechnology
We propose a computationally feasible inference method in finite games of complete information. Galichon and Henry, 2011 and Beresteanu, Molchanov, and Molinari, 2011 show that the empirical content in such models is characterized by a collection of moment inequalities whose number increases exponentially with the number of discrete outcomes. We propose an equivalent characterization based on classical combinatorial optimization methods that allows the construction of confidence regions with an efficient bootstrap procedure that runs in linear computing time. The method can be applied to the empirical analysis of cooperative and noncooperative games, instrumental variable models of discrete choice, and revealed preference analysis. We propose an application to the determinants of long term elderly care choices.