Keep Your Distance: Land Division With Separation

9Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

This paper is part of an ongoing endeavor to bring the theory of fair division closer to practice by handling requirements from real-life applications. We focus on two requirements originating from the division of land estates: (1) each agent should receive a plot of a usable geometric shape, and (2) plots of different agents must be physically separated. With these requirements, the classic fairness notion of proportionality is impractical, since it may be impossible to attain any multiplicative approximation of it. In contrast, the ordinal maximin share approximation, introduced by Budish in 2011, provides meaningful fairness guarantees. We prove upper and lower bounds on achievable maximin share guarantees when the usable shapes are squares, fat rectangles, or arbitrary axes-aligned rectangles, and explore the algorithmic and query complexity of finding fair partitions in this setting.

Cite

CITATION STYLE

APA

Elkind, E., Segal-Halevi, E., & Suksompong, W. (2021). Keep Your Distance: Land Division With Separation. In IJCAI International Joint Conference on Artificial Intelligence (pp. 168–174). International Joint Conferences on Artificial Intelligence. https://doi.org/10.24963/ijcai.2021/24

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free