Truthful facility assignment with resource augmentation: an exact analysis of serial dictatorship
<p>We study the truthful facility assignment problem, where a set of agents with private most-preferred points on a metric space are assigned to facilities that lie on the metric space, under capacity constraints on the facilities. The goal is to produce such an assignment that minimizes the s...
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| Format: | Conference item |
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Springer
2016
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| _version_ | 1826301584078798848 |
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| author | Caragiannis, I Filos-Ratsikas, A Frederiksen, S Hansen, K Tan, Z |
| author_facet | Caragiannis, I Filos-Ratsikas, A Frederiksen, S Hansen, K Tan, Z |
| author_sort | Caragiannis, I |
| collection | OXFORD |
| description | <p>We study the truthful facility assignment problem, where a set of agents with private most-preferred points on a metric space are assigned to facilities that lie on the metric space, under capacity constraints on the facilities. The goal is to produce such an assignment that minimizes the social cost, i.e., the total distance between the most-preferred points of the agents and their corresponding facilities in the assignment, under the constraint of truthfulness, which ensures that agents do not misreport their most-preferred points.</p> <p>We propose a resource augmentation framework, where a truthful mechanism is evaluated by its worst-case performance on an instance with enhanced facility capacities against the optimal mechanism on the same instance with the original capacities. We study a well-known mechanism, Serial Dictatorship, and provide an exact analysis of its performance.</p> <p>Among other results, we prove that Serial Dictatorship has approximation ratio g/(g − 2) when the capacities are multiplied by any integer g ≥ 3. Our results suggest that even a limited augmentation of the resources can have wondrous effects on the performance of the mechanism and in particular, the approximation ratio goes to 1 as the augmentation factor becomes large. We complement our results with bounds on the approximation ratio of Random Serial Dictatorship, the randomized version of Serial Dictatorship, when there is no resource augmentation.</p> |
| first_indexed | 2024-03-07T05:34:37Z |
| format | Conference item |
| id | oxford-uuid:e3767bc4-fc99-4465-af64-3fa66873ca4b |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:34:37Z |
| publishDate | 2016 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:e3767bc4-fc99-4465-af64-3fa66873ca4b2022-03-27T10:09:15ZTruthful facility assignment with resource augmentation: an exact analysis of serial dictatorshipConference itemhttp://purl.org/coar/resource_type/c_5794uuid:e3767bc4-fc99-4465-af64-3fa66873ca4bSymplectic Elements at OxfordSpringer2016Caragiannis, IFilos-Ratsikas, AFrederiksen, SHansen, KTan, Z<p>We study the truthful facility assignment problem, where a set of agents with private most-preferred points on a metric space are assigned to facilities that lie on the metric space, under capacity constraints on the facilities. The goal is to produce such an assignment that minimizes the social cost, i.e., the total distance between the most-preferred points of the agents and their corresponding facilities in the assignment, under the constraint of truthfulness, which ensures that agents do not misreport their most-preferred points.</p> <p>We propose a resource augmentation framework, where a truthful mechanism is evaluated by its worst-case performance on an instance with enhanced facility capacities against the optimal mechanism on the same instance with the original capacities. We study a well-known mechanism, Serial Dictatorship, and provide an exact analysis of its performance.</p> <p>Among other results, we prove that Serial Dictatorship has approximation ratio g/(g − 2) when the capacities are multiplied by any integer g ≥ 3. Our results suggest that even a limited augmentation of the resources can have wondrous effects on the performance of the mechanism and in particular, the approximation ratio goes to 1 as the augmentation factor becomes large. We complement our results with bounds on the approximation ratio of Random Serial Dictatorship, the randomized version of Serial Dictatorship, when there is no resource augmentation.</p> |
| spellingShingle | Caragiannis, I Filos-Ratsikas, A Frederiksen, S Hansen, K Tan, Z Truthful facility assignment with resource augmentation: an exact analysis of serial dictatorship |
| title | Truthful facility assignment with resource augmentation: an exact analysis of serial dictatorship |
| title_full | Truthful facility assignment with resource augmentation: an exact analysis of serial dictatorship |
| title_fullStr | Truthful facility assignment with resource augmentation: an exact analysis of serial dictatorship |
| title_full_unstemmed | Truthful facility assignment with resource augmentation: an exact analysis of serial dictatorship |
| title_short | Truthful facility assignment with resource augmentation: an exact analysis of serial dictatorship |
| title_sort | truthful facility assignment with resource augmentation an exact analysis of serial dictatorship |
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