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Title: New Fairness Concepts for Allocating Indivisible Items
For the fundamental problem of fairly dividing a set of indivisible items among agents, envy-freeness up to any item (EFX) and maximin fairness (MMS) are arguably the most compelling fairness concepts proposed till now. Unfortunately, despite significant efforts over the past few years, whether EFX allocations always exist is still an enigmatic open problem, let alone their efficient computation. Furthermore, today we know that MMS allocations are not always guaranteed to exist. These facts weaken the usefulness of both EFX and MMS, albeit their appealing conceptual characteristics.We propose two alternative fairness concepts—called epistemic EFX (EEFX) and minimum EFX value fairness (MXS)---inspired by EFX and MMS. For both, we explore their relationships to well-studied fairness notions and, more importantly, prove that EEFX and MXS allocations always exist and can be computed efficiently for additive valuations. Our results justify that the new fairness concepts are excellent alternatives to EFX and MMS.  more » « less
Award ID(s):
1942321
PAR ID:
10491686
Author(s) / Creator(s):
; ; ; ;
Publisher / Repository:
International Joint Conferences on Artificial Intelligence Organization
Date Published:
ISBN:
978-1-956792-03-4
Page Range / eLocation ID:
2554 to 2562
Format(s):
Medium: X
Location:
Macau, SAR China
Sponsoring Org:
National Science Foundation
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