Cechlárová, K., Eirinakis, P., Fleiner, T., Magos, D., Manlove, D. , Mourtos, P., Ocel’áková, E. and Rastegari, B. (2016) Pareto optimal matchings in many-to-many markets with ties. Theory of Computing Systems, 59(4), pp. 700-721. (doi: 10.1007/s00224-016-9677-1)
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Abstract
We consider Pareto optimal matchings (POMs) in a many-to-many market of applicants and courses where applicants have preferences, which may include ties, over individual courses and lexicographic preferences over sets of courses. Since this is the most general setting examined so far in the literature, our work unifies and generalizes several known results. Specifically, we characterize POMs and introduce the Generalized Serial Dictatorship Mechanism with Ties (GSDT) that effectively handles ties via properties of network flows. We show that GSDT can generate all POMs using different priority orderings over the applicants, but it satisfies truthfulness only for certain such orderings. This shortcoming is not specific to our mechanism; we show that any mechanism generating all POMs in our setting is prone to strategic manipulation. This is in contrast to the one-to-one case (with or without ties), for which truthful mechanisms generating all POMs do exist.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Rastegari, Dr Baharak and Manlove, Professor David and Cechlarova, Professor Katarina and Fleiner, Dr Tamas |
| Authors: | Cechlárová, K., Eirinakis, P., Fleiner, T., Magos, D., Manlove, D., Mourtos, P., Ocel’áková, E., and Rastegari, B. |
| College/School: | College of Science and Engineering > School of Computing Science |
| Journal Name: | Theory of Computing Systems |
| Publisher: | Springer Verlag |
| ISSN: | 1432-4350 |
| ISSN (Online): | 1433-0490 |
| Published Online: | 30 April 2016 |
| Copyright Holders: | Copyright © 2016 The Authors |
| First Published: | First published in Theory of Computing Systems 59(4): 700-721 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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