Matches in SemOpenAlex for { <https://semopenalex.org/work/W4294971349> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W4294971349 abstract "We study the problem of allocating a set of indivisible goods among agents with subadditive valuations in a fair and efficient manner. Envy-Freeness up to any good (EFX) is the most compelling notion of fairness in the context of indivisible goods. Although the existence of EFX is not known beyond the simple case of two agents with subadditive valuations, some good approximations of EFX are known to exist, namely $tfrac{1}{2}$-EFX allocation and EFX allocations with bounded charity. Nash welfare (the geometric mean of agents' valuations) is one of the most commonly used measures of efficiency. In case of additive valuations, an allocation that maximizes Nash welfare also satisfies fairness properties like Envy-Free up to one good (EF1). Although there is substantial work on approximating Nash welfare when agents have additive valuations, very little is known when agents have subadditive valuations. In this paper, we design a polynomial-time algorithm that outputs an allocation that satisfies either of the two approximations of EFX as well as achieves an $mathcal{O}(n)$ approximation to the Nash welfare. Our result also improves the current best-known approximation of $mathcal{O}(n log n)$ and $mathcal{O}(m)$ to Nash welfare when agents have submodular and subadditive valuations, respectively. Furthermore, our technique also gives an $mathcal{O}(n)$ approximation to a family of welfare measures, $p$-mean of valuations for $pin (-infty, 1]$, thereby also matching asymptotically the current best known approximation ratio for special cases like $p =-infty$ while also retaining the fairness properties." @default.
- W4294971349 created "2022-09-08" @default.
- W4294971349 creator A5011077385 @default.
- W4294971349 creator A5070267732 @default.
- W4294971349 creator A5077432617 @default.
- W4294971349 date "2020-05-13" @default.
- W4294971349 modified "2023-10-14" @default.
- W4294971349 title "Fair and Efficient Allocations under Subadditive Valuations" @default.
- W4294971349 doi "https://doi.org/10.48550/arxiv.2005.06511" @default.
- W4294971349 hasPublicationYear "2020" @default.
- W4294971349 type Work @default.
- W4294971349 citedByCount "0" @default.
- W4294971349 crossrefType "posted-content" @default.
- W4294971349 hasAuthorship W4294971349A5011077385 @default.
- W4294971349 hasAuthorship W4294971349A5070267732 @default.
- W4294971349 hasAuthorship W4294971349A5077432617 @default.
- W4294971349 hasBestOaLocation W42949713491 @default.
- W4294971349 hasConcept C111472728 @default.
- W4294971349 hasConcept C114614502 @default.
- W4294971349 hasConcept C134306372 @default.
- W4294971349 hasConcept C138885662 @default.
- W4294971349 hasConcept C144237770 @default.
- W4294971349 hasConcept C151730666 @default.
- W4294971349 hasConcept C178621042 @default.
- W4294971349 hasConcept C19220575 @default.
- W4294971349 hasConcept C2779343474 @default.
- W4294971349 hasConcept C2780586882 @default.
- W4294971349 hasConcept C33923547 @default.
- W4294971349 hasConcept C34388435 @default.
- W4294971349 hasConcept C46814582 @default.
- W4294971349 hasConcept C86803240 @default.
- W4294971349 hasConceptScore W4294971349C111472728 @default.
- W4294971349 hasConceptScore W4294971349C114614502 @default.
- W4294971349 hasConceptScore W4294971349C134306372 @default.
- W4294971349 hasConceptScore W4294971349C138885662 @default.
- W4294971349 hasConceptScore W4294971349C144237770 @default.
- W4294971349 hasConceptScore W4294971349C151730666 @default.
- W4294971349 hasConceptScore W4294971349C178621042 @default.
- W4294971349 hasConceptScore W4294971349C19220575 @default.
- W4294971349 hasConceptScore W4294971349C2779343474 @default.
- W4294971349 hasConceptScore W4294971349C2780586882 @default.
- W4294971349 hasConceptScore W4294971349C33923547 @default.
- W4294971349 hasConceptScore W4294971349C34388435 @default.
- W4294971349 hasConceptScore W4294971349C46814582 @default.
- W4294971349 hasConceptScore W4294971349C86803240 @default.
- W4294971349 hasLocation W42949713491 @default.
- W4294971349 hasLocation W42949713492 @default.
- W4294971349 hasOpenAccess W4294971349 @default.
- W4294971349 hasPrimaryLocation W42949713491 @default.
- W4294971349 hasRelatedWork W1774639417 @default.
- W4294971349 hasRelatedWork W1901321320 @default.
- W4294971349 hasRelatedWork W2052719152 @default.
- W4294971349 hasRelatedWork W2115086848 @default.
- W4294971349 hasRelatedWork W2281780232 @default.
- W4294971349 hasRelatedWork W2326228838 @default.
- W4294971349 hasRelatedWork W2614033570 @default.
- W4294971349 hasRelatedWork W2951387657 @default.
- W4294971349 hasRelatedWork W3036179672 @default.
- W4294971349 hasRelatedWork W4286695973 @default.
- W4294971349 isParatext "false" @default.
- W4294971349 isRetracted "false" @default.
- W4294971349 workType "article" @default.