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

Samuel Bismuth*, Ivan Bliznets, Erel Segal-Halevi

*Corresponding author for this work

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

1 Citation (Scopus)
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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.
Original languageEnglish
Title of host publicationAlgorithmic Game Theory
Subtitle of host publication17th International Symposium, SAGT 2024, Amsterdam, The Netherlands, September 3-6, 2024, Proceedings.
EditorsGuido Schäfer, Carmine Ventre
PublisherSpringer
Pages89–107
Number of pages19
ISBN (Electronic)978-3-031-71033-9
ISBN (Print)978-3-031-71032-2
DOIs
Publication statusPublished - 2024

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume15156
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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