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The Cartographer
Strategyproof Mechanism for Two Heterogeneous Facilities with Constant Approximation Ratio
July 21, 2019 Β· Declared Dead Β· π International Joint Conference on Artificial Intelligence
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Authors
Minming Li, Pinyan Lu, Yuhao Yao, Jialin Zhang
arXiv ID
1907.08918
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.GT
Citations
35
Venue
International Joint Conference on Artificial Intelligence
Last Checked
3 months ago
Abstract
In this paper, we study the two-facility location game on a line with optional preference where the acceptable set of facilities for each agent could be different and an agent's cost is his distance to the closest facility within his acceptable set. The objective is to minimize the total cost of all agents while achieving strategyproofness. We design a deterministic strategyproof mechanism for the problem with approximation ratio of 2.75, improving upon the earlier best ratio of n/2+1.
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