What Matchings Can Be Stable? The Testable Implications of Matching Theory

What Matchings Can Be Stable? The Testable Implications of Matching Theory

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Article ID: iaor200954185
Country: United States
Volume: 33
Issue: 3
Start Page Number: 757
End Page Number: 768
Publication Date: Aug 2008
Journal: Mathematics of Operations Research
Authors:
Keywords: matching
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.

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