Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:45:14.513469Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2607.17811.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:45:14.513469Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:28:19.069743Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T04:28:19.147020Z
43 of 43 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 644d20df-577a-4546-8a43-881c1e8f1444 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Fair allocation of indivisible goods and chores.Autonomous Agents and Multi-Agent Systems, 36(1):3, 2022
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e74bc707-9435-468f-9a96-fc2b90d18086 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Fair and truthful mechanisms for dichotomous valuations
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4b55486-af55-4e71-b1c5-73e1cb31ca77 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Compatibility of Fairness and Nash Welfare under Subadditive Valuations
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f748a9d-8cb8-4816-81e0-0940af4a9dc0 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Introspectively envy-free and efficient allocation of indivisible mixed manna, 2025
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ef9eedb0-c2cb-46fb-8790-4ed359acc873 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Finding fair and efficient allocations
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a2670fd-d588-42eb-a994-86bafbbc3de8 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Sundaram
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0cd93ea5-f892-4cfa-80c5-1e8b37588f9c · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Optimal bounds on the price of fairness for indivisible goods
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9e34d91e-2f1d-49e2-9911-da9295dd454d · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations The price of fairness for indivisible goods.Theory of Computing Systems, 65(7):1069–1093, 2021
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a4481773-5877-4a2a-92fe-5487a788c68f · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 99bf967c-29e9-4c90-b658-fd058936f878 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ca6828ee-f819-40fc-9cab-10f64fda1a24 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Finding fair and effi- cient allocations for matroid rank valuations.ACM Transactions on Economics and Computation, 9(4):21:1–21:41, 2021
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dcb496bb-cdaf-442e-b5d9-e6c3fb3e54d5 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Procaccia, Nisarg Shah, and Junxing Wang
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a4a153c-388b-46a1-802b-1e1d3852c293 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes.Journal of Political Economy, 119(6):1061–1103, 2011
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c4ca775-7064-455c-aa56-10261eafa87c · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Procaccia, Nisarg Shah, and Junxing Wang
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 218a5f76-34e4-4ed7-899c-dd39b33a774f · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Envy-freeness up to any item with high Nash welfare: The virtue of donating items
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfe748d3-c724-4e63-b6e6-261b79205b4d · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Are gross substi- tutes a substitute for submodular valuations?, 2021
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b2be8fc4-5342-40c1-aed9-b277203d32e6 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Fair and efficient allocations under subadditive valuations
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4b06f819-708f-4391-bd7f-2276cdb1d5fb · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Computing fair and efficient allocations with few utility values.Theoretical Computer Science, 962:113932, 2023
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 821946b3-a249-41a0-a2b1-0dba5574f4bd · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations How to fairly allocate easy and dif- ficult chores
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9e327c58-c17e-4920-a9f4-1389dd836ed0 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Fair and efficient allocations of chores under bivalued preferences
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 75ee464c-ee2e-4ce0-a601-bec4fdc63c70 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations EF1 for Mixed Manna with Unequal Entitlements
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f6f94d2-3ad4-4f4d-8e24-9af1cb23d5db · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Walrasian equilibrium with gross substitutes.Journal of Economic Theory, 87(1):95–124, 1999
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56dfd1dd-7597-472f-9d01-fd33de9c38fd · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Near fairness in matroids
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e9560e03-3bed-49e5-b689-e3afb1e1370f · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Maximin share allocations for assign- ment valuations: Extended abstract
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 22b3e674-2e12-46ab-b813-8b4e8de71a99 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Kelso, Jr
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41ecf476-751f-4b71-974d-b510942ad4ec · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Gross substitutability: An algorithmic survey.Games and Economic Behavior, 106:294–316, 2017
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a2a21bc-e592-4de3-908d-06d600c73155 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Combinatorial auctions with decreasing marginal utilities.Games and Economic Behavior, 55(2):270–296, 2006
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 375e1517-7a69-43d2-a389-e891a9e781c1 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Mixed fair division: A survey
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48c66fd3-21f9-4019-9ee5-511b52425f5f · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Lipton, Evangelos Markakis, Elchanan Mossel, and Amin Saberi
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7007a8e2-1eb2-46c6-a842-06a03a5c157c · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations A polynomial-time algorithm for fair and efficient allocation with a fixed number of agents
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a7b142a4-5daa-4050-8955-470a86251796 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Counterexamples to EFX for Submodular and Subadditive Valuations
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation add8159d-f178-4400-9c50-c5957e7f8e77 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations On fair and efficient allocations of indivisible goods
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 543a395f-0235-4ff5-9189-cf43b2a2b8d1 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Existence of fair and efficient allocation of indivisible chores
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c4db99c2-85a4-49f0-8dac-4066ad9c24b6 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Springer, 2003
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a4dacf95-15ac-4681-82fd-5582f410e3ea · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Fair allocation rules
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81785c26-4cb6-443b-bacd-de31976affe5 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Almost envy-freeness with general valuations.SIAM Journal on Discrete Mathematics, 34(2):1039–1068, 2020
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a0f6309-a27e-421a-8d18-27daf6d984c8 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations A general framework for fair allocation under matroid rank valuations
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 381a9458-47e4-4308-9d36-cdf93718d38d · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Yankee swap: A fast and simple fair allocation mechanism for matroid rank valuations
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 23216426-793b-4404-afcc-753903a5828c · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Unresolved cited work
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e33d3c67-6aed-4322-a7ec-401d1267740e · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a8dfdff0-d285-46d4-9581-60ac4e6753d2 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Again, by the definition ofρ, 1> 1 α (r+2ε)≥ 1 α v1(X1), r> 1 α t≥ 1 α v2(X2), and 1> 1 α r≥ 1 α vk(Xk) (k≥3)
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0998fca6-7787-44fe-8e3e-2879cbdd15c5 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations Unresolved cited work
Reference 2020
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 269ab43a-8430-427f-8ee3-3d2417b39de3 · outbound
When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations URLhttps://arxiv.org/abs/2507.09544
Reference 2026
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3e59866-db37-4f07-bfb4-4bb2745c9bc8 · inbound
Fair Division with Strictly Increasing Valuations: A Tight Threshold for Two-Agent EF1 and PO When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c2c325e-1a20-48f6-be13-1e0a9d5ea64d · inbound
Best-of-Both-Worlds Fairness and Pareto Optimality When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.