Heterogeneous Facility Location Games
Eleftherios Anastasiadis, Argyrios Deligkas

TL;DR
This paper investigates strategy proof mechanisms for heterogeneous facility location games, revealing fundamental limitations for multiple facilities and proposing simple, efficient mechanisms with constant approximation guarantees on a line segment.
Contribution
It proves the impossibility of optimal strategy proof mechanisms for multiple facilities and introduces simple mechanisms with constant approximation on a line segment.
Findings
Optimal placement is strategy proof for a single facility with known locations.
No optimal strategy proof mechanism exists for two or more facilities, even with two agents.
Provided simple, communication-efficient mechanisms with constant approximation guarantees.
Abstract
We study heterogeneous -facility location games. In this model there are facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design strategy proof mechanisms that place the facilities in a way to maximize the minimum utility among the agents. For , if the agents' locations are known, we prove that the mechanism that places the facility on an optimal location is strategy proof. For , we prove that there is no optimal strategy proof mechanism, deterministic or randomized, even when there are only two agents with known locations, and the facilities have to be placed on a line segment. We derive inapproximability bounds for deterministic and randomized strategy proof mechanisms. Finally, we focus on the line segment and provide strategy proof mechanisms that…
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Taxonomy
TopicsGame Theory and Voting Systems · Auction Theory and Applications · Game Theory and Applications
