Paper Citation Record · LEDGER

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money

As of 21 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2501.01111.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.01111 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:41:39.956023Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

verified exact1
verified fuzzy9
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5afe39c2-ccc1-40b6-aee7-0a7cf79eea83 · outbound

This paper cites an unresolved cited work.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:41:40.095730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 20f53cac-ba90-43b8-92e0-2206fb1672e5 · outbound

This paper cites As part of the objective of(4),a⊤ i vi can be verified to be affine sinceai is parameter-free and vi is parameter-affine.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money As part of the objective of(4),a⊤ i vi can be verified to be affine sinceai is parameter-free and vi is parameter-affine

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.122269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4d466c7f-8bc0-402f-a8ca-bc938e71c1cc · outbound

This paper cites For example, thel∞,1 distance between mechanismsf,f′∈M is given as max (v,x,b) N∑ i=1 M∑ j=1 |fij(v,x,b )−f′ ij(v,x,b )|.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money For example, thel∞,1 distance between mechanismsf,f′∈M is given as max (v,x,b) N∑ i=1 M∑ j=1 |fij(v,x,b )−f′ ij(v,x,b )|

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.108823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 327eec8d-d460-473a-a711-c2f1ab81e18f · outbound

This paper cites an unresolved cited work.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:41:40.148520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03431488-4818-435f-8e05-65657445c697 · outbound

This paper cites v⊤ Na⋆ NdzN +zN(a⋆ N)⊤dvN  , 23 Published in Transactions on Machine Learning Research (01/2025) the matrix M′ 1∈ RNM×NM is M′ 1 =   (µ⋆ 1−ν⋆ 1−λ⋆−z1)v⊤ 1 ··· 0.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money v⊤ Na⋆ NdzN +zN(a⋆ N)⊤dvN  , 23 Published in Transactions on Machine Learning Research (01/2025) the matrix M′ 1∈ RNM×NM is M′ 1 =   (µ⋆ 1−ν⋆ 1−λ⋆−z1)v⊤ 1 ··· 0

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.136844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 214473a7-0da2-4380-9c15-f13869188e30 · outbound

This paper cites where the last inequality follows from the following relation.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money where the last inequality follows from the following relation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.082110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3da266f9-80ae-4b2e-9854-ae379a0713b0 · outbound

This paper cites G Proof of Theorem 3 It is obvious that the exploitability of any mechanism at agenti cannot exceed the utility of agenti when its demands are fully satisfied.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money G Proof of Theorem 3 It is obvious that the exploitability of any mechanism at agenti cannot exceed the utility of agenti when its demands are fully satisfied

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.063825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 949ca26b-7356-4a35-a7df-d6514791627d · outbound

This paper cites Revenue-optimal mechanism design for rate-differentiated energy services.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money Revenue-optimal mechanism design for rate-differentiated energy services

Reference 1981

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.175219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54f97bde-d730-47fa-a63b-2dcc3fd73d81 · outbound

This paper cites 3 2 Preliminaries & Problem Formulation 4 2.1 PF Mechanism Has a Non-Zero Exploitability.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money 3 2 Preliminaries & Problem Formulation 4 2.1 PF Mechanism Has a Non-Zero Exploitability

Reference 1998

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.161776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0e316a9c-508b-4548-8261-b4b081c0a403 · outbound

This paper cites Deep Learning for Two-Sided Matching.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money Deep Learning for Two-Sided Matching

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-10T22:41:39.914195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d53a38e3-8a45-42cf-b090-1d08bb4d0a9e · outbound

This paper cites Learning Payment-Free Resource Allocation Mechanisms.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money Learning Payment-Free Resource Allocation Mechanisms

Reference 2014

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:41:40.007365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7a1b9324-9340-461b-a191-2c33aa747ae9 · outbound

This paper cites On the use of the cauchy distribution to describe price fluctuations in r&d and other forms of real assets.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money On the use of the cauchy distribution to describe price fluctuations in r&d and other forms of real assets

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.196538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 606a5dd7-3310-4875-b76b-8fd1d232b799 · outbound

This paper cites Charging and rate control for elastic traffic.European transactions on Telecommunications, 8 (1):33–37,.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money Charging and rate control for elastic traffic.European transactions on Telecommunications, 8 (1):33–37,

Reference 2020

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:41:40.186213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3146dcce-f42a-4c59-be39-b6ccd47d1c01 · outbound

This paper cites Generalized binary utility functions and fair allocations.

Regularized Proportional Fairness Mechanism for Resource Allocation Without Money Generalized binary utility functions and fair allocations

Reference 2022

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T22:41:40.047109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.