Robust stability in matching markets
AbstractIn a matching problem between students and schools, a mechanism is said to be robustly stable if it is stable, strategy-proof, and immune to a combined manipulation, where a student first misreports her preferences and then blocks the matching that is produced by the mechanism. We find that even when school priorities are publicly known and only students can behave strategically, there is a priority structure for which no robustly stable mechanism exists. Our main result shows that there exists a robustly stable mechanism if and only if the priority structure of schools is acyclic (Ergin, 2002), and in that case, the student-optimal stable mechanism is the unique robustly stable mechanism.
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Bibliographic InfoArticle provided by Econometric Society in its journal Theoretical Economics.
Volume (Year): 6 (2011)
Issue (Month): 2 (May)
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Web page: http://econtheory.org
Matching; stability; strategy-proofness; robust stability; acyclicity;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
- J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations
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- Chakraborty, Archishman & Citanna, Alessandro & Ostrovsky, Michael, 2010. "Two-sided matching with interdependent values," Journal of Economic Theory, Elsevier, vol. 145(1), pages 85-105, January.
- Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005.
"The New York City High School Match,"
American Economic Review,
American Economic Association, vol. 95(2), pages 364-367, May.
- Oğuz Afacan, Mustafa, 2012. "Group robust stability in matching markets," Games and Economic Behavior, Elsevier, vol. 74(1), pages 394-398.
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