Fair Division of Chores with Budget Constraints

Edith Elkind, Ayumi Igarashi, Nicholas Teh*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study fair allocation of indivisible chores to agents under budget constraints, where each chore has an objective size and disutility. This model captures scenarios where a set of chores need to be divided among agents with limited time, and each chore has a specific time needed for completion. We propose a budget-constrained model for allocating indivisible chores, and systematically explore the differences between goods and chores in this setting. We establish the existence of an EFX allocation. We then show that EF2 allocations are polynomial-time computable in general; for many restricted settings, we strengthen this result to EF1.

Original languageEnglish (US)
Title of host publicationAlgorithmic Game Theory - 17th International Symposium, SAGT 2024, Proceedings
EditorsGuido Schäfer, Carmine Ventre
PublisherSpringer Science and Business Media Deutschland GmbH
Pages55-71
Number of pages17
ISBN (Print)9783031710322
DOIs
StatePublished - 2024
Event17th International Symposium on Algorithmic Game Theory, SAGT 2024 - Amsterdam, Netherlands
Duration: Sep 3 2024Sep 6 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
Period9/3/249/6/24

Keywords

  • Budget Constraints
  • Chores
  • Fair Allocation

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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