What Matchings Can Be Stable? The Testable Implications of Matching Theory. Echenique, F. Mathematics of Operations Research, 33(3):757-768, INFORMS, 2008.
Paper abstract bibtex This paper studies the falsifiability of two-sided matching theory when agents' preferences are unknown. A collection of matchings is rationalizable if there are preferences for the agents involved so that the matchings are stable. We show that there are nonrationalizable collections of matchings; hence, the theory is falsifiable. We also characterize the rationalizable collections of matchings, which leads to a test of matching theory in the spirit of revealed-preference tests of individual optimizing behavior.
@article{10.2307/25151884,
ISSN = {0364765X, 15265471},
URL = {http://www.jstor.org/stable/25151884},
abstract = {This paper studies the falsifiability of two-sided matching theory when agents' preferences are unknown. A collection of matchings is rationalizable if there are preferences for the agents involved so that the matchings are stable. We show that there are nonrationalizable collections of matchings; hence, the theory is falsifiable. We also characterize the rationalizable collections of matchings, which leads to a test of matching theory in the spirit of revealed-preference tests of individual optimizing behavior.},
author = {Federico Echenique},
journal = {Mathematics of Operations Research},
number = {3},
pages = {757-768},
publisher = {INFORMS},
title = {What Matchings Can Be Stable? The Testable Implications of Matching Theory},
volume = {33},
year = {2008}
}
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