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Paper Citation Record · LEDGER

A study of common noise in mean field games

As of 13 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2412.12741.

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

pith.paper-citation-record.v1
2412.12741 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:55:18.495844Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:27:25.561854Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T05:42:36.293685Z

Reference resolution

39 of 39 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dfbf3a43-9f7c-47ca-8bac-3ffbb417dc1c · outbound

This paper cites A User’s Guide to Opt imal Transport.

A study of common noise in mean field games A User’s Guide to Opt imal Transport

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e65c5cc8-052f-4af6-abbe-7d26f66707e0 · outbound

This paper cites Well-posedn ess of mean-field type forward–backward stochastic differential equations.

A study of common noise in mean field games Well-posedn ess of mean-field type forward–backward stochastic differential equations

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 99e07ae7-9898-4ffe-9f3e-f23399364e5f · outbound

This paper cites The Master equation in mean field theory.

A study of common noise in mean field games The Master equation in mean field theory

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation cc36b1cb-62ff-4a91-8ef4-3fdaf830ebb6 · outbound

This paper cites Monotone solutions for mean field games mas ter equations: continuous state space and common noise.

A study of common noise in mean field games Monotone solutions for mean field games mas ter equations: continuous state space and common noise

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fc768155-99ea-4274-ac2e-84350534c9fa · outbound

This paper cites Monotone solutions for mean field games mas ter equations: finite state space and optimal stopping.

A study of common noise in mean field games Monotone solutions for mean field games mas ter equations: finite state space and optimal stopping

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 69e52c78-3b3b-4051-b684-11a4bc858afa · outbound

This paper cites A Mean Field Game Approach to Bitcoin Mining.

A study of common noise in mean field games A Mean Field Game Approach to Bitcoin Mining

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 90ffeee4-5fbf-482f-801d-b7618d18be01 · outbound

This paper cites Noise through an additional variable for mean field games master equation on finite state space.

A study of common noise in mean field games Noise through an additional variable for mean field games master equation on finite state space

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 91ee0bed-dca5-43c5-8ee1-9a17ff31ad8e · outbound

This paper cites On Lipschitz solutions of mean field games master equations.

A study of common noise in mean field games On Lipschitz solutions of mean field games master equations

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation dc4f0c7e-333f-435c-ba36-97d06b9691d5 · outbound

This paper cites A two spaces extension of Cauchy-Lipschitz Theorem.

A study of common noise in mean field games A two spaces extension of Cauchy-Lipschitz Theorem

Reference 9

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e9179ebe-af08-40b0-8c83-b3ace5f7423a · outbound

This paper cites The master equation and the convergence problem in mean field games.

A study of common noise in mean field games The master equation and the convergence problem in mean field games

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 87bc88a4-dc6d-4035-aeff-b663e8daea38 · outbound

This paper cites Mean Field Game of Controls and An Application To Trade Crowding.

A study of common noise in mean field games Mean Field Game of Controls and An Application To Trade Crowding

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 14d1fd71-92b6-4bdd-933c-98631a4e33c5 · outbound

This paper cites Mean field games with common noise and degenerate idiosyncratic noise.

A study of common noise in mean field games Mean field games with common noise and degenerate idiosyncratic noise

Reference 13

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fb51f7aa-e712-475c-9285-595fc8cf7c51 · outbound

This paper cites Mo notone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise.

A study of common noise in mean field games Mo notone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f627b521-0b8e-48d7-8862-7c24f6bdf839 · outbound

This paper cites Mean field forwar d-backward stochastic differential equations.

A study of common noise in mean field games Mean field forwar d-backward stochastic differential equations

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 77d7e944-3934-490d-b2fc-4e8201853120 · outbound

This paper cites Probabilistic Theory of Mean Field Games with Applications II.

A study of common noise in mean field games Probabilistic Theory of Mean Field Games with Applications II

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a7e5d65a-ff4f-499b-ae43-5870c9820f14 · outbound

This paper cites Mean field games with common noise.

A study of common noise in mean field games Mean field games with common noise

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d0480907-a25b-474b-9e26-1456ce8a3014 · outbound

This paper cites A probabilistic appro ach to mean field games with major and minor players.

A study of common noise in mean field games A probabilistic appro ach to mean field games with major and minor players

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 93c9b263-4d61-42af-9559-9a0acdedf55b · outbound

This paper cites Weak solutions to the master equation of potential mean field games.

A study of common noise in mean field games Weak solutions to the master equation of potential mean field games

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T13:55:18.386320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3fd08269-f88a-40b9-b64a-755c4bba29f4 · outbound

This paper cites Hamilto n-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions.

A study of common noise in mean field games Hamilto n-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f2da7d3a-f5bb-4230-b6a0-b21db77a0d85 · outbound

This paper cites Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations.

A study of common noise in mean field games Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2560244a-57cc-4400-afcc-3a0216bdef85 · outbound

This paper cites The covariation for Banach space valued processes and applications.

A study of common noise in mean field games The covariation for Banach space valued processes and applications

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8d20a560-d4cb-4174-b517-a37b682b0430 · outbound

This paper cites Mean Fi eld Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity.

A study of common noise in mean field games Mean Fi eld Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 102c6be7-3675-47ae-8546-80f6b3be7436 · outbound

This paper cites On monotonic ity conditions for mean field games.

A study of common noise in mean field games On monotonic ity conditions for mean field games

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b3705c23-d048-4afc-be63-aa56cb6dbffd · outbound

This paper cites Uniqueness of Unbounded Viscosity Solution of Hamilton-Jacobi Equations.

A study of common noise in mean field games Uniqueness of Unbounded Viscosity Solution of Hamilton-Jacobi Equations

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c0449ad8-5d20-4a54-b742-d259fd040d0f · outbound

This paper cites Convex analysis and minimization algorithms.

A study of common noise in mean field games Convex analysis and minimization algorithms

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b06f57cc-179f-496d-ac7b-8f7cbf58532b · outbound

This paper cites Stochastic In tegration.

A study of common noise in mean field games Stochastic In tegration

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 16dbde41-df4e-479e-8962-36e790b879e8 · outbound

This paper cites On the convergence of closed-loop Nas h equilibria to the mean field game limit.

A study of common noise in mean field games On the convergence of closed-loop Nas h equilibria to the mean field game limit

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.947427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 58a9a877-497a-4a58-b05d-435269c808f2 · outbound

This paper cites Mean-field games with a ma jor player.

A study of common noise in mean field games Mean-field games with a ma jor player

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fa760fc4-c646-40c5-9d65-2f2767902082 · outbound

This paper cites Mean fiel d games.

A study of common noise in mean field games Mean fiel d games

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4bcd9fc7-dcf3-42d3-9196-90b02669f630 · outbound

This paper cites Lectures at Collège de France.

A study of common noise in mean field games Lectures at Collège de France

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.891339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4b6ab8ed-f088-448f-970f-cdf80b6d5052 · outbound

This paper cites “Viscosity solutions of fully nonlinear s econd-order equations and optimal stochastic control in infinite dimensions.

A study of common noise in mean field games “Viscosity solutions of fully nonlinear s econd-order equations and optimal stochastic control in infinite dimensions

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.874169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 5c8fbdf6-03c9-4b72-893c-fec43e411f87 · outbound

This paper cites Extended mean-field ga mes.

A study of common noise in mean field games Extended mean-field ga mes

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.855249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1152e81b-a80b-42c7-ab20-7b856092b49c · outbound

This paper cites Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations.

A study of common noise in mean field games Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-11T13:55:18.644428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:55:18.465015Z digest=sha256:4b19b08f7c957add57ea3e09003f362b9c995b2bedaa4d3b8ad68cde845ea4ef

Observation f90cdc3c-0cb4-4968-922b-8d04853ff372 · outbound

This paper cites Wellposedness of S econd Order Master Equations for Mean Field Games with Nonsmooth Data.

A study of common noise in mean field games Wellposedness of S econd Order Master Equations for Mean Field Games with Nonsmooth Data

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.834907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:55:18.470070Z digest=sha256:34b508704cf1829db2a3b7890411026e85cf3ca09f1d530c926223c384cbfc57

Observation 7570234f-3267-413a-a2f7-6d0304ba0692 · outbound

This paper cites Mean Field Games Systems under Displacement Monotonicity.

A study of common noise in mean field games Mean Field Games Systems under Displacement Monotonicity

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.815987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:55:18.475137Z digest=sha256:3c8d87b20ecc0bf104d5f88c135b704a31ef3572542bb0a7ed532f3fae0b442f

Observation 1b9ee8a6-74c2-4ccf-8bd8-40ae8c5741fc · outbound

This paper cites Fully Coupled Forward-Backward Sto chastic Differential Equations and Applications to Optimal Control.

A study of common noise in mean field games Fully Coupled Forward-Backward Sto chastic Differential Equations and Applications to Optimal Control

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.797948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:55:18.480312Z digest=sha256:9d3936c32924cb60a94da8391f5d841140e032aacf138bb1712fa8f556a96ab5

Observation 4badc61e-d6c7-4475-9aa4-0faff7f5b47e · outbound

This paper cites Convex ity in Hamilton–Jacobi Theory I: Dynamics and Duality.

A study of common noise in mean field games Convex ity in Hamilton–Jacobi Theory I: Dynamics and Duality

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.780173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:55:18.485661Z digest=sha256:7be56c5f3d0043eaf25c9439cdf3c8e307d505f79373eeae0c39a053ffba8e97

Observation 53f41253-f965-4165-a7aa-3326179277ee · outbound

This paper cites Mean field games with common noise via Malliavin calculus.

A study of common noise in mean field games Mean field games with common noise via Malliavin calculus

Reference 39

Resolution
verified exact
raw_fallback, observed 2026-08-11T13:55:18.619499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:55:18.490693Z digest=sha256:6e34a8823146234d89d9d019a0b1c8906be2f92c67f0ef9875a7fb705d28a98c

Observation ef9f4b14-fd31-4c92-95d4-5e715e72456f · outbound

This paper cites Weakly singular Gronwall inequalities a nd applications to fractional differential equations.

A study of common noise in mean field games Weakly singular Gronwall inequalities a nd applications to fractional differential equations

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:55:18.761931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:55:18.495844Z digest=sha256:d159bdf3eca3720e9a94eb687828f2061f95e948bd0c3e9a90b61875de4f5f48

Pith citing papers

Observation 288731be-7de6-45ba-8c96-575cbcbd0ce7 · inbound

Growth model with externalities for energetic transition via MFG with common external variable cites this paper.

Growth model with externalities for energetic transition via MFG with common external variable A study of common noise in mean field games

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-23T05:42:36.296649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-23T05:41:43.041250Z digest=sha256:b34bda278d0672c66295705fdb900ed008d7b60d3ae73a07fb07710b861459c9

Observation 435b531e-d79e-498f-91d7-2db8435bc086 · inbound

Analysis on spaces of measures cites this paper.

Analysis on spaces of measures A study of common noise in mean field games

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T11:27:25.561854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:27:25.561854Z digest=sha256:592b60427af017326bfaea9abbb5e985bf76a6b321aae2d0c96a237e2b378877