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Characterizing conflicts in fair division of indivisible goods using a scale of criteria

Authors:

Sylvain Bouveret,

Michel LemaîtreAuthors Info & Claims

Autonomous Agents and Multi-Agent Systems, Volume 30, Issue 2

Pages 259 - 290

https://doi.org/10.1007/s10458-015-9287-3

Published: 01 March 2016 Publication History

Abstract

We investigate five different fairness criteria in a simple model of fair resource allocation of indivisible goods based on additive preferences. We show how these criteria are connected to each other, forming an ordered scale that can be used to characterize how conflicting the agents' preferences are: for a given instance of a resource allocation problem, the less conflicting the agents' preferences are, the more demanding criterion this instance is able to satisfy, and the more satisfactory the allocation can be. We analyze the computational properties of the five criteria, give some experimental results about them, and further investigate a slightly richer model with $$k$$k-additive preferences.

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Published In

cover image Autonomous Agents and Multi-Agent Systems

Autonomous Agents and Multi-Agent Systems Volume 30, Issue 2

March 2016

228 pages

ISSN:1387-2532

Issue’s Table of Contents

Copyright © Copyright © 2016 The Author(s).

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Kluwer Academic Publishers

United States

Publication History

Published: 01 March 2016

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Viswanathan MMehta RDastani MSichman JAlechina NDignum V(2024)On the existence of EFX under picky or non-differentiative agentsProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3663218(2534-2536)Online publication date: 6-May-2024
https://dl.acm.org/doi/10.5555/3635637.3663218
Kawase YRoy BSanpui MDastani MSichman JAlechina NDignum V(2024)Contiguous Allocation of Binary Valued Indivisible Items on a PathProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3663149(2327-2329)Online publication date: 6-May-2024
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Caragiannis IHansen KRathi NDastani MSichman JAlechina NDignum V(2024)On the Complexity of Pareto-Optimal and Envy-Free LotteriesProceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems10.5555/3635637.3662872(244-252)Online publication date: 6-May-2024
https://dl.acm.org/doi/10.5555/3635637.3662872
Mahara R(2024)Extension of Additive Valuations to General Valuations on the Existence of EFXMathematics of Operations Research10.1287/moor.2022.004449:2(1263-1277)Online publication date: 1-May-2024
https://dl.acm.org/doi/10.1287/moor.2022.0044
Li BMoulin HSun AZhou Y(2024)On Hill’s Worst-Case Guarantee for Indivisible BadsACM Transactions on Economics and Computation10.1145/370384512:4(1-27)Online publication date: 11-Nov-2024
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Dai SGuo XMiao HGao GXu YZhang Y(2024)The existence and efficiency of PMMS allocationsTheoretical Computer Science10.1016/j.tcs.2024.114388989:COnline publication date: 21-Mar-2024
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Aziz HLi BWu X(2024)Approximate and strategyproof maximin share allocation of chores with ordinal preferencesMathematical Programming: Series A and B10.1007/s10107-022-01855-y203:1-2(319-345)Online publication date: 1-Jan-2024
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Li BWang FZhou YOh ANaumann TGloberson ASaenko KHardt MLevine S(2023)Fair allocation of indivisible choresProceedings of the 37th International Conference on Neural Information Processing Systems10.5555/3666122.3668490(54366-54385)Online publication date: 10-Dec-2023
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Xiao MQiu GHuang SAgmon NAn BRicci AYeoh W(2023)MMS Allocations of Chores with Connectivity Constraints: New Methods and New ResultsProceedings of the 2023 International Conference on Autonomous Agents and Multiagent Systems10.5555/3545946.3599112(2886-2888)Online publication date: 30-May-2023
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Hosseini HSearns ASegal-Halevi EElkind E(2023)Ordinal maximin share approximation for goods (extended abstract)Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence10.24963/ijcai.2023/778(6894-6899)Online publication date: 19-Aug-2023
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