The content discusses facility location problems with scaling effects, considering single-peaked preferences and approximation ratios. It explores the impact of scaling functions on optimal solutions and mechanism design. The study provides insights into strategyproof mechanisms and their performance in different scenarios.
The authors introduce a variation of the classic facility location problem, incorporating scaling factors based on facility placement. They examine continuous and piecewise linear scaling functions to model real-world scenarios effectively. The paper highlights the importance of ensuring single-peaked preferences for agents in mechanism design.
Analyzing the total and maximum cost objectives, the study delves into approximation ratios achievable by strategyproof mechanisms. It discusses conditions for agents to have single-peaked preferences under different scaling functions. The research contributes to understanding optimal facility placement strategies in complex environments.
Overall, the content offers valuable insights into facility location games with scaling effects, shedding light on mechanism design challenges and optimization strategies.
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by Yu He,Alexan... a las arxiv.org 03-01-2024
https://arxiv.org/pdf/2402.18908.pdfConsultas más profundas