English

Strategyproof Mechanism for Two Heterogeneous Facilities with Constant Approximation Ratio

Data Structures and Algorithms 2019-07-23 v1 Computer Science and Game Theory

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.

Keywords

Cite

@article{arxiv.1907.08918,
  title  = {Strategyproof Mechanism for Two Heterogeneous Facilities with Constant Approximation Ratio},
  author = {Minming Li and Pinyan Lu and Yuhao Yao and Jialin Zhang},
  journal= {arXiv preprint arXiv:1907.08918},
  year   = {2019}
}
R2 v1 2026-06-23T10:26:12.605Z