Paper Citation Record · LEDGER

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver

As of 9 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2605.12950.

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

pith.paper-citation-record.v1
2605.12950 v2

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-05-22T09:42:48.841880Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact2
verified fuzzy29
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External citation measurements

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Outbound references

Observation 23a16847-be21-45ae-accb-9f13c7d8aaa5 · outbound

This paper cites Analytical solution for an open-loop stackelberg game.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Analytical solution for an open-loop stackelberg game

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.726209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 337c48e9-386a-4acb-87af-f6417c74a970 · outbound

This paper cites Machine learning approximation algo- rithms for high-dimensional fully nonlinear partial differential equations and second- order backward stochastic differential equations.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Machine learning approximation algo- rithms for high-dimensional fully nonlinear partial differential equations and second- order backward stochastic differential equations

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.682553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c182142-1a40-4152-ad70-fb2d791c2005 · outbound

This paper cites Mean field stack- elberg games: Aggregation of delayed instructions.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Mean field stack- elberg games: Aggregation of delayed instructions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.722569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 30225b5c-c3c6-465a-bc75-8dd015281b84 · outbound

This paper cites Springer Science & Business Media.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Springer Science & Business Media

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.730854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7bbad0b8-d15c-4e4e-b042-df66c1b5a559 · outbound

This paper cites Mean-field backward stochastic differential equations: a limit approach.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Mean-field backward stochastic differential equations: a limit approach

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.734999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 425b93b5-5f4d-48de-b930-f0f29e64f617 · outbound

This paper cites Mean field forward-backward stochastic differen- tial equations.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Mean field forward-backward stochastic differen- tial equations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.713393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8c090fb8-567a-4f83-9fe0-8116a00cfd03 · outbound

This paper cites Springer.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Springer

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.716377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ba5cc5ac-cda6-4da9-8015-14373abef2fd · outbound

This paper cites Infinite horizon linear-quadratic leader- follower stochastic differential games for regime switching diffusions.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Infinite horizon linear-quadratic leader- follower stochastic differential games for regime switching diffusions

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.719520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation df2f89c0-7357-4cb9-a352-953907258b15 · outbound

This paper cites Existence and uniqueness of open-loop stackelberg equilibria in linear-quadratic differential games.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Existence and uniqueness of open-loop stackelberg equilibria in linear-quadratic differential games

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.706185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1a2710d0-652e-4f60-8705-70cf2ca482aa · outbound

This paper cites Solving high-dimensional partial differen- tial equations using deep learning.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Solving high-dimensional partial differen- tial equations using deep learning

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.666796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b5058ae9-a6f0-47b3-9b2c-3d266a3f7141 · outbound

This paper cites Deep learning-based numerical methods for high- dimensional parabolic partial differential equations and backward stochastic differential equations.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Deep learning-based numerical methods for high- dimensional parabolic partial differential equations and backward stochastic differential equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.703076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ff1608ca-2ece-4b3c-bff6-31b3389ba96a · outbound

This paper cites Convergence of the deep bsde method for coupled fbsdes.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Convergence of the deep bsde method for coupled fbsdes

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.696693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c6d619d3-195f-46ed-bedb-19ec125c45e5 · outbound

This paper cites Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion monte carlo like approach.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion monte carlo like approach

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.709734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f58a2ae4-f34e-4e84-93e7-354c75d310fc · outbound

This paper cites Deep Fictitious Play for Stochastic Differential Games.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Deep Fictitious Play for Stochastic Differential Games

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-22T09:44:45.997451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b6061770-bc66-445c-af3c-fdef64d25636 · outbound

This paper cites A deep learning method for solving stochastic optimal control problems driven by fully-coupled FBSDEs.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver A deep learning method for solving stochastic optimal control problems driven by fully-coupled FBSDEs

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-22T09:44:46.002582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e04963db-3559-452f-a199-1b6d51746433 · outbound

This paper cites Linear-quadratic generalized stackelberg games with jump-diffusion processes and related forward-backward stochastic differential equations.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Linear-quadratic generalized stackelberg games with jump-diffusion processes and related forward-backward stochastic differential equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.697205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 964acba3-ab62-4655-b28c-374876221c24 · outbound

This paper cites An open-loop stackelberg strategy for the linear quadratic mean-field stochastic differential game.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver An open-loop stackelberg strategy for the linear quadratic mean-field stochastic differential game

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.691589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9b577fc0-52c2-49d9-8400-30514fdb5337 · outbound

This paper cites Optimization by vector space methods.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Optimization by vector space methods

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.654803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 28b05790-9eee-49dd-8caa-e921ca01ed4e · outbound

This paper cites Two-player zero-sum stochastic differential games with regime switching.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Two-player zero-sum stochastic differential games with regime switching

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.664516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 340bf367-4b4b-4d14-99e2-f87e707b25fb · outbound

This paper cites Linear quadratic leader–follower stochastic differ- ential games for mean-field switching diffusions.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Linear quadratic leader–follower stochastic differ- ential games for mean-field switching diffusions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.685532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3baf7a0a-71a7-4125-a694-d28ea6bd966e · outbound

This paper cites Linear-quadratic stochastic stackelberg differential games for jump-diffusion systems.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Linear-quadratic stochastic stackelberg differential games for jump-diffusion systems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.658124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a62ba2f7-7e3c-4780-a634-9bb41fab4285 · outbound

This paper cites Leader–follower stochastic differential game with asymmetric information and applications.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Leader–follower stochastic differential game with asymmetric information and applications

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.688540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 39a91272-9994-4c7d-b9a3-268397e50e0f · outbound

This paper cites Market structure and equilibrium.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Market structure and equilibrium

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.694106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 96b46767-81a4-49a7-8e81-f5a00b32b570 · outbound

This paper cites Linear quadratic mean field stackelberg games: Open-loop and feedback solutions.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Linear quadratic mean field stackelberg games: Open-loop and feedback solutions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.661471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bc66a9dd-c42c-4d05-bb1a-c1a94555f2fd · outbound

This paper cites Linear quadratic stochastic optimal control problems with operator coefficients: open-loop solutions.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Linear quadratic stochastic optimal control problems with operator coefficients: open-loop solutions

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.679613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bd5720ff-0143-483f-bad6-3b0c1b178b2e · outbound

This paper cites Mean-field stochastic linear quadratic control problem with random coefficients.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Mean-field stochastic linear quadratic control problem with random coefficients

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.682274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4d149e33-4f6f-4fa5-902c-2fbce5a0488a · outbound

This paper cites A leader-follower stochastic linear quadratic differential game.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver A leader-follower stochastic linear quadratic differential game

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.673676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 074893ce-4368-47df-8015-b65611d372fb · outbound

This paper cites Stochastic controls: Hamiltonian systems and HJB equations, volume 43.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Stochastic controls: Hamiltonian systems and HJB equations, volume 43

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.693639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bc7dcba2-2a5f-4f40-a1b6-3dfe064cad60 · outbound

This paper cites Define λϵ 1 = ( λϵ 1, ˜λϵ.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Define λϵ 1 = ( λϵ 1, ˜λϵ

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.670868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 27e108ed-d88c-4635-bad8-eb6a244cf74f · outbound

This paper cites an unresolved cited work.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:44:46.741457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ba2b957c-9950-4b6f-887b-0336731b968d · outbound

This paper cites Moreover, let ( X η1,λϵ 1(·), Y η1,λϵ 1(·), Zη1,λϵ 1(·)) denote the cor- responding state trajectory for the perturbed variable pair λϵ 1.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Moreover, let ( X η1,λϵ 1(·), Y η1,λϵ 1(·), Zη1,λϵ 1(·)) denote the cor- responding state trajectory for the perturbed variable pair λϵ 1

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.676786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fed0aee1-0c3f-468e-8f20-3775e876b333 · outbound

This paper cites an unresolved cited work.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:44:46.699803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0607e997-592d-46e8-8348-f90b41409aa6 · outbound

This paper cites Now, we turn to proving the main theorem for Problem (F-3) in detail.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Now, we turn to proving the main theorem for Problem (F-3) in detail

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:44:46.738749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 46fdfbee-9e4f-4f57-8319-bc1d20c5acdb · outbound

This paper cites an unresolved cited work.

Stochastic Mean-Field LQ Stackelberg Differential Games with Random Coefficients: Theory and a Deep FBSDE Picard Solver Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:44:46.699179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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