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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.675435Z digest=sha256:0ec5f4656add6b636ccc249802dfac835f48d80c90193566d024ed60f8abaf57

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.712820Z digest=sha256:0dce0ec965850b744d3022728e7409c21ffbb64afa22dd31b65c72ead0eff054

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.722209Z digest=sha256:2ac23d0c02e75f039de9322c7d099f1594cf951eddb97f8ba8e87f83c701a084

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.682343Z digest=sha256:70a05d081a9da251cb6b8054e908ac9cba02a6d24f2337a4cbd00f9485506d81

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.717706Z digest=sha256:36dd066af717c7c943ee98a967f7ebdf3c62e5987e970f2afacb6bf6b4658584

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.726781Z digest=sha256:b807b047753384684ba46458fbf2f8b29d742ca47a534ff6bf5ac8788ab7cde4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.732049Z digest=sha256:537efdc76912d4778bd96ffe3c28cb495ff9e39405237d27b916232968dbb7a4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.736305Z digest=sha256:7e7823b8a1236d01c17a9be990824a74d28006b143cde79749d122635b343118

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.740615Z digest=sha256:80d7690c69252abfc41421a19f4f25cb8cf302698de2fcea4ebd0fc49642baab

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.744900Z digest=sha256:084ffa9c446ea01724368270376fadb0d2f60fb43a927686f1f96f1fe8f03be1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.748979Z digest=sha256:8b8445c132e6d89cb747221b7b8337962287df42acab96956b08c571d3178f79

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.753348Z digest=sha256:9083629a958b1dca8a0d1d6e55d909c2f285923b71c782bf2258bcd36ceee58f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.757657Z digest=sha256:36ae809fa5a0437538822e99a179ab464b9bf50da728583481f749d801d733d0

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=sha256:42eecc52f35fd9ae29057ac06e8952318120a59476e75a4293fe39e4802a4a7a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.693116Z digest=sha256:c873d025622856322ffff2b9b211f0e13f87daaf0e8a1136702401c0e7554c9e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.708478Z digest=sha256:77af4069debf843fd30f3998697e0afcc82b2ec98cd957cd4d710443cb9a13c8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.687839Z digest=sha256:1bb65799cc889e7751c8c52f70e51b26c5f07a73ecfe65bd1c36759f2e965ab1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T18:02:10.703640Z digest=sha256:6110826ea0892a91b4f8eac4ce9c85f08228ad659afab58ece08c2568ccf77fb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-18T20:32:54.607173Z digest=sha256:bd72f77a3d4d91af798debb27802dcee355e2227e47d6957f8bb4e614a37d664