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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.05197 |
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| _version_ | 1866912232528412672 |
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| author | Deligkas, Argyrios Lotfi, Mohammad Voudouris, Alexandros A. |
| author_facet | Deligkas, Argyrios Lotfi, Mohammad Voudouris, Alexandros A. |
| contents | We consider a truthful facility location problem in which there is a set of agents with private locations on the line of real numbers, and the goal is to place a number of facilities at different locations chosen from the set of those reported by the agents. Given a feasible solution, each agent suffers an individual cost that is either its total distance to all facilities (sum-variant) or its distance to the farthest facility (max-variant). For both variants, we show tight bounds on the approximation ratio of strategyproof mechanisms in terms of the social cost, the total individual cost of the agents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Agent-Constrained Truthful Facility Location Games Deligkas, Argyrios Lotfi, Mohammad Voudouris, Alexandros A. Computer Science and Game Theory We consider a truthful facility location problem in which there is a set of agents with private locations on the line of real numbers, and the goal is to place a number of facilities at different locations chosen from the set of those reported by the agents. Given a feasible solution, each agent suffers an individual cost that is either its total distance to all facilities (sum-variant) or its distance to the farthest facility (max-variant). For both variants, we show tight bounds on the approximation ratio of strategyproof mechanisms in terms of the social cost, the total individual cost of the agents. |
| title | Agent-Constrained Truthful Facility Location Games |
| topic | Computer Science and Game Theory |
| url | https://arxiv.org/abs/2405.05197 |