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Paper Citation Record · LEDGER

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications

As of 15 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2502.12024.

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

pith.paper-citation-record.v1
2502.12024 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T18:02:10.757657Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T20:32:54.607173Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T20:36:50.334353Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved2
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ad239d8-2a47-4c9d-a4f9-b65036e47b8b · outbound

This paper cites Social Learning under Platform Influence: Consensus and Persistent Disagreement.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Social Learning under Platform Influence: Consensus and Persistent Disagreement

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-09T18:02:10.820026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.675435Z digest=sha256:8ced833a030cbf911934454969e3301597c56d071fc5d722f8ee1aea1c948ee4

Observation 9efa59cf-8846-4913-b710-15eb4169d0da · outbound

This paper cites The projected policy gradient update rule which is expressed as: σh+1 =P P(S×A) (σh +γ h∇σV(σ h)) (7) whereγ h denotes the learning rate at iterationh.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications The projected policy gradient update rule which is expressed as: σh+1 =P P(S×A) (σh +γ h∇σV(σ h)) (7) whereγ h denotes the learning rate at iterationh

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:10.998927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.712820Z digest=sha256:84ac4b182a3adbb354936e4a680e0a70faac2bc6226f0100c184ecc301108c4a

Observation 6e61bc08-8f39-415f-80db-667ee7792907 · outbound

This paper cites Specifically, we assume thatM:P(X)→ M ⊂R n, whereMis a compact set.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Specifically, we assume thatM:P(X)→ M ⊂R n, whereMis a compact set

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:10.965994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.722209Z digest=sha256:e7e9213df5b780d2253ad39ec72c6028e345ba74a9921b97e31d55e330baac9a

Observation 64e901fd-c6e0-4e73-933e-ce090097ccfc · outbound

This paper cites Fatou’s lemma for weakly converging measures under the uniform integrability condition,.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Fatou’s lemma for weakly converging measures under the uniform integrability condition,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:11.076881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.682343Z digest=sha256:595a5a52c105becd84824c66a41a0dfc8ec2395def7b132af0ad98e21926ad08

Observation fb64b93e-0089-4ea3-af23-b84fe42ee1d6 · outbound

This paper cites , H, yielding policy ˆgt(x, mt).

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications , H, yielding policy ˆgt(x, mt)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:10.982107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.717706Z digest=sha256:357ded5baf456611cad231054c8d13ad6ed6ab6b3867640394c83599a3a75993

Observation c5995228-3f0e-4dcf-80d0-257cab68247b · outbound

This paper cites The scalar interaction function is the mean field limit of this finite retailers case.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications The scalar interaction function is the mean field limit of this finite retailers case

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:10.948065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.726781Z digest=sha256:ac64a238b932d63ee41f17d680d7eaeb3daeff629e6bab0cd1c502c2077f9d57

Observation 1181dc12-3a48-4f50-907c-c5c7eb8efa87 · outbound

This paper cites A similar regenerative framework for arrivals and departures is discussed in other MFE models (e.g., Iyer et al.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications A similar regenerative framework for arrivals and departures is discussed in other MFE models (e.g., Iyer et al

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:10.932782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.732049Z digest=sha256:97c61f26a69e2895f12fe9bfc20ecacd6906a95d2f2664681513ee41d227897a

Observation 7a177bcd-c3f0-4d6c-817d-3d51ae22b3dd · outbound

This paper cites an unresolved cited work.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Unresolved cited work

Reference 13

Resolution
malformed identifier
raw_fallback, observed 2026-08-09T18:02:10.918121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.736305Z digest=sha256:9cabb51dad82737bce96c7058deeccfa49a736855356cbbbb4a0fe5523bdcc3e

Observation daf0e88d-92a9-42ab-8449-ff786d0bd999 · outbound

This paper cites Proof of Theorem 2.Lettbe some iteration of the algorithm.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Proof of Theorem 2.Lettbe some iteration of the algorithm

Reference 14

Resolution
malformed identifier
raw_fallback, observed 2026-08-09T18:02:10.902300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.740615Z digest=sha256:45a998aee4acc36c0b72d4a9c20a642ae43eac7391647eaac0e61309d0a90e15

Observation a72c0d99-8450-4929-8b36-184610ebfa3e · outbound

This paper cites Hence, ∆V (0, a) = (1−δ)h′ 1(a)V(1, m) + (−h′ 1(a) +δh ′ 1(a))V(0, m) =h′ 1(a)(1−δ)∆V(0, m).

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Hence, ∆V (0, a) = (1−δ)h′ 1(a)V(1, m) + (−h′ 1(a) +δh ′ 1(a))V(0, m) =h′ 1(a)(1−δ)∆V(0, m)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:10.885155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.744900Z digest=sha256:03ff0d1df875ca548785ce7fccd01e575a7201e5119d304413564b88212ab1af

Observation 7a5dae62-f853-49ae-b01e-c880edf5ecd6 · outbound

This paper cites Part (ii) shows thatgis increasing inx.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Part (ii) shows thatgis increasing inx

Reference 16

Resolution
malformed identifier
raw_fallback, observed 2026-08-09T18:02:10.869577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.748979Z digest=sha256:af37779ee5cbb1988cad900cf76bf64186fb434ad56388a79f18fad6d5463213

Observation 7eb58694-7e0f-41db-9cd4-632f149a4341 · outbound

This paper cites This is typically satisfied in many practical settings, including cases whereM(s) represents the expected value operator.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications This is typically satisfied in many practical settings, including cases whereM(s) represents the expected value operator

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:10.853164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.753348Z digest=sha256:44618ac889b6d9bd7d8c51ef670bb8705a3b7704c46db1f00e28fefacc0f8fcf

Observation 3d667cd5-b756-4378-8288-28caf067737d · outbound

This paper cites an unresolved cited work.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:02:10.836828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.757657Z digest=sha256:3321f54b8ab88c103d299f86245ea806bb25dc7537824ea7e0b428cff4df05b8

Observation 1adbdcca-e93f-4406-803d-1bad3e53007e · outbound

This paper cites Learning in Mean Field Games: A Survey.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Learning in Mean Field Games: A Survey

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-09T18:02:10.698396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T18:02:10.698396Z digest=sha256:63c1feb1395618b2096827b4a35417d2f1988287f344f7c3e53e9487eb30fe87

Observation 827568a2-fa13-4310-a5e4-a308a611d147 · outbound

This paper cites A general framework for learning mean-field games,.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications A general framework for learning mean-field games,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:11.046730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.693116Z digest=sha256:048eac6a80925975984f86ec8bd105c7395af0c42525b083595a71a2b72ccda1

Observation f9645c4c-5d96-4ca9-9850-ae63ca8a11ca · outbound

This paper cites Learning while playing in mean-field games: Convergence and optimality,.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Learning while playing in mean-field games: Convergence and optimality,

Reference 1265

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:11.016491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.708478Z digest=sha256:98c3dddbca8fb7b8ce3cfea5cb7705f243f4a760f547461c95f64430066ae50e

Observation 762b2620-a6d1-4ef2-88c6-8a12c87dc46f · outbound

This paper cites Your uber is arriving: Managing on-demand workers through surge pricing, forecast communication, and worker incentives,.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Your uber is arriving: Managing on-demand workers through surge pricing, forecast communication, and worker incentives,

Reference 3235

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:11.062154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.687839Z digest=sha256:764a0a8402ac7e772f385b05100540e2488f41542bf279f01d3d0a67fa261ca2

Observation 8cd5c702-f470-4c3f-abbe-fcc955169ba9 · outbound

This paper cites Markov perfect industry dynamics with many firms,.

Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications Markov perfect industry dynamics with many firms,

Reference 6715

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:02:11.031744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T18:02:10.703640Z digest=sha256:03e6bcf9525e4267165c0dbf1c620f7eab125f3832287c1d02c23f931fa46b6e

Pith citing papers

Observation 958600f5-5495-4825-99af-35c385e310be · inbound

Approximation of Discrete-Time Infinite-Horizon Mean-Field Equilibria via Finite-Horizon Mean-Field Equilibria cites this paper.

Approximation of Discrete-Time Infinite-Horizon Mean-Field Equilibria via Finite-Horizon Mean-Field Equilibria Computing and Learning Stationary Mean Field Equilibria with Scalar Interactions: Algorithms and Applications

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-18T20:36:50.336970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-18T20:32:54.607173Z digest=sha256:6856460a00142a450ac5ae2c1ebb2806fa06e318a8d17cf72dbf0d594046a2d9