Fair Division with Bounded Sharing: Binary and Non-degenerate Valuations

Samuel Bismuth, Ivan Bliznets, Erel Segal-Halevi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. An agent is allowed to share a bounded number of objects between two or more agents in order to attain fairness. The paper studies various notions of fairness, such as proportionality, envy-freeness, equitability, and consensus. We analyze the run-time complexity of finding a fair allocation with a given number of sharings under several restrictions on the agents’ valuations, such as: binary generalized-binary and non-degenerate. — NOTE: due to space constraints, we had to move several parts that appeared on the submitted version to appendices. All material can be found in the full version at https://arxiv.org/abs/1912.00459 [2].

Original languageEnglish
Title of host publicationAlgorithmic Game Theory - 17th International Symposium, SAGT 2024, Proceedings
EditorsGuido Schäfer, Carmine Ventre
PublisherSpringer Science and Business Media Deutschland GmbH
Pages89-107
Number of pages19
ISBN (Print)9783031710322
DOIs
StatePublished - 2024
Event17th International Symposium on Algorithmic Game Theory, SAGT 2024 - Amsterdam, Netherlands
Duration: 3 Sep 20246 Sep 2024

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume15156 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference17th International Symposium on Algorithmic Game Theory, SAGT 2024
Country/TerritoryNetherlands
CityAmsterdam
Period3/09/246/09/24

Keywords

  • Allocation of Indivisible and Divisible Goods
  • Fair Division
  • Indivisible Goods

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