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arXiv · 2405.05197

Agent-Constrained Truthful Facility Location Games

Argyrios Deligkas·Mohammad Lotfi·Alexandros A. Voudouris
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Abstract

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.

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Argyrios Deligkas, Mohammad Lotfi, Alexandros A. Voudouris. 2024-05-08. Agent-Constrained Truthful Facility Location Games. https://doi.org/10.1007/s10878-025-01258-7

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