Ties matter: improving efficiency in course allocation by introducing ties
AbstractWe study the course allocation system at Nanyang Technological University, where students submit strict preferences for courses and courses have implicit preferences for students. This formulates a many-to-many matching problem. We show the inefficiencies of the current mechanism and propose new competing mechanisms called Pareto-improving draft and dictatorship mechanisms, which introduce ties into students' preferences. Our mechanisms generate (group) stable and Pareto-efficient allocations, and the dictatorship mechanism can be implemented truthfully. Simulations on real data show that introducing ties into students' preferences can significantly improve efficiency, and the draft mechanism outperforms the dictatorship mechanism despite that the former is non-strategyproof.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 47031.
Date of creation: 25 Apr 2013
Date of revision:
matching; many-to-many; Pareto efficiency; stability; strategyproof;
Find related papers by JEL classification:
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions
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