2000 character limit reached
On Truthful Constrained Heterogeneous Facility Location with Max-Variant Cost (2309.05379v3)
Published 11 Sep 2023 in cs.GT
Abstract: We consider a problem where agents have private positions on a line, and public approval preferences over two facilities, and their cost is the maximum distance from their approved facilities. The goal is to decide the facility locations to minimize the total and the max cost, while incentivizing the agents to be truthful. We design a strategyproof mechanism that is simultaneously $11$- and $5$-approximate for these two objective functions, thus improving the previously best-known bounds of $2n+1$ and $9$.
- Mechanism design for facility location problems: A survey. In Proceedings of the 30th International Joint Conference on Artificial Intelligence (IJCAI), pages 4356–4365, 2021.
- Facility location games with optional preference. Theoretical Computer Science, 847:185–197, 2020.
- Strategy-proof approximation mechanisms for an obnoxious facility game on networks. Theoretical Computer Science, 497:154–163, 2013.
- Heterogeneous facility location with limited resources. Games and Economic Behavior, 139:200–215, 2023.
- Strategyproof mechanisms for one-dimensional hybrid and obnoxious facility location models. In AAAI Workshop on Incentive and Trust in E-Communities, volume WS-15-08, 2015.
- On voting and facility location. In Proceedings of the 2016 ACM Conference on Economics and Computation (EC), pages 269–286, 2016.
- On the power of deterministic mechanisms for facility location games. ACM Transactions on Economics and Computation, 2(4):15:1–15:37, 2014.
- Optimizing multiple simultaneous objectives for voting and facility location. In Proceedings of the 37th AAAI Conference on Artificial Intelligence (AAAI), pages 5665–5672, 2023.
- On discrete truthful heterogeneous two-facility location. SIAM Journal on Discrete Mathematics, 37:779–799, 2023a.
- Truthful two-facility location with candidate locations. In Proceedings of the 16th International Symposium on Algorithmic Game Theory (SAGT), 2023b.
- Strategyproof mechanism for two heterogeneous facilities with constant approximation ratio. In Proceedings of the 29th International Joint Conference on Artificial Intelligence (IJCAI), pages 238–245, 2020.
- Asymptotically optimal strategy-proof mechanisms for two-facility games. In Proceedings of the 11th ACM Conference on Electronic Commerce (EC), pages 315–324, 2010.
- Approximate mechanism design without money. ACM Transactions on Economics and Computation, 1(4):18:1–18:26, 2013.
- Heterogeneous facility location without money. Theoretical Computer Science, 636:27–46, 2016.
- Two-facility location games with minimum distance requirement. Journal of Artificial Intelligence Research, 70:719–756, 2021.
- Constrained heterogeneous facility location games with max-variant cost. Journal on Combinatorial Optimization, 45(3):90, 2023.