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Paper Citation Record · LEDGER

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games

As of 20 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2505.13632.

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

pith.paper-citation-record.v1
2505.13632 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:21:06.895943Z

measured 50 of 50 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

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

Source: cited_works

Reference resolution

50 of 50 outbound references displayed

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  • verified fuzzy36
  • unresolved12
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External citation measurements

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Outbound references

Observation b75bcb66-c72a-4f37-b736-5b7a185ac2d7 · outbound

This paper cites Uniform-in-time weak propagation of chaos for consensus-based optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Uniform-in-time weak propagation of chaos for consensus-based optimization

Reference 1

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Observation 18927446-7012-4d30-93ee-c046cc5e8b7d · outbound

This paper cites Constrained consensus-based optimization and numerical heuristics for the few particle regime.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Constrained consensus-based optimization and numerical heuristics for the few particle regime

Reference 2

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Observation 73685c98-e48c-4c35-a7cb-ae7c6848cd05 · outbound

This paper cites Brown’s original fictitious play.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Brown’s original fictitious play

Reference 3

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Observation 9932cb72-8b91-405d-a132-8e9edd063070 · outbound

This paper cites Stochastic differential equations: an introduction with applications.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Stochastic differential equations: an introduction with applications

Reference 4

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Observation 1a8f78c8-d033-485d-a0f7-bf72f29a0eb4 · outbound

This paper cites An Adaptive Consensus Based Method for Multi-objective Optimization with Uniform Pareto Front Approximation.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games An Adaptive Consensus Based Method for Multi-objective Optimization with Uniform Pareto Front Approximation

Reference 5

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Observation 719e9c2c-ac95-44b3-a11c-35799b61962d · outbound

This paper cites A particle consensus approach to solving nonconvex-nonconcave min-max problems.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games A particle consensus approach to solving nonconvex-nonconcave min-max problems

Reference 6

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source=pdf_text observed=2026-08-15T20:21:06.719301Z digest=sha256:7be17c6331e9810ca8a03fbe7c8f9acde2002b345bbe50dbfed6a1fa3588810c

Observation f19ba123-9350-48dc-a0b4-09cd92b29a96 · outbound

This paper cites MirrorCBO: A consensus-based optimization method in the spirit of mirror descent.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games MirrorCBO: A consensus-based optimization method in the spirit of mirror descent

Reference 7

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source=pdf_text observed=2026-08-15T20:21:06.724331Z digest=sha256:fac7b3494e09413e499d25af20cb83f560c3ebd376689b62412f5c1b8fb4b2e0

Observation c8c952fc-26d9-4a7f-994e-19a716b451b2 · outbound

This paper cites Polarized consensus-based dynamics for optimization and sampling, 2022.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Polarized consensus-based dynamics for optimization and sampling, 2022

Reference 8

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Observation 2cd3d305-0c86-412b-9a5e-723c55739456 · outbound

This paper cites Carrillo, Young-Pil Choi, Claudia Totzeck, and Oliver Tse.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Carrillo, Young-Pil Choi, Claudia Totzeck, and Oliver Tse

Reference 9

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Observation fa02676c-99f5-462b-9a79-d631064e838f · outbound

This paper cites Carrillo, Shi Jin, Lei Li, and Yuhua Zhu.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Carrillo, Shi Jin, Lei Li, and Yuhua Zhu

Reference 10

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Observation 86ca74a0-c82b-4ec3-8856-efdabe87a3c4 · outbound

This paper cites Propagation of chaos: A review of models, methods and applications.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Propagation of chaos: A review of models, methods and applications

Reference 11

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Observation 3e2971f1-7518-400f-a88c-06af174cd957 · outbound

This paper cites A consensus-based algorithm for non-convex multiplayer games.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games A consensus-based algorithm for non-convex multiplayer games

Reference 12

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Observation 27b4a59b-a1a1-47b1-acaf-e40ad1251a41 · outbound

This paper cites Springer Texts in Statistics.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Springer Texts in Statistics

Reference 13

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Observation 37452709-5b0e-43b6-9916-91714a154c79 · outbound

This paper cites SBEED: Convergent reinforcement learning with nonlinear function approximation.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games SBEED: Convergent reinforcement learning with nonlinear function approximation

Reference 14

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Observation 8eb4b24f-08f1-429c-af12-66177cc283e7 · outbound

This paper cites Local Stochastic Gradient Descent Ascent: Convergence Analysis and Communication Efficiency.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Local Stochastic Gradient Descent Ascent: Convergence Analysis and Communication Efficiency

Reference 15

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Observation 66555045-d8ff-480d-87d7-081dc5fd0c46 · outbound

This paper cites Evaluation for moments of a ratio with application to regression estimation.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Evaluation for moments of a ratio with application to regression estimation

Reference 16

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Observation 6ee00085-5320-479f-95a5-2c8592c91100 · outbound

This paper cites Fault-Tolerant Federated Reinforcement Learning with Theoretical Guarantee.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Fault-Tolerant Federated Reinforcement Learning with Theoretical Guarantee

Reference 17

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Observation 0279fcc1-5c7d-4af4-a8cd-f9596c1c1d9f · outbound

This paper cites Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit

Reference 18

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Observation 4ef9610b-dfae-4308-beef-0c07aabf2114 · outbound

This paper cites Consensus-based optimization on the sphere: Convergence to global minimizers and machine learning.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Consensus-based optimization on the sphere: Convergence to global minimizers and machine learning

Reference 19

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source=pdf_text observed=2026-08-15T20:21:06.772717Z digest=sha256:24499901cb142f866eab017355383438ab02254aec4c693d55eb6355034aa8b3

Observation 28e7e29d-1eb6-480d-8bf2-db3335358991 · outbound

This paper cites Consensus-Based Optimization Methods Converge Globally.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Consensus-Based Optimization Methods Converge Globally

Reference 20

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Observation 9d9ca337-9293-4d54-864c-9bf01cf9d703 · outbound

This paper cites Uniform-in-time propa- gation of chaos for consensus-based optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Uniform-in-time propa- gation of chaos for consensus-based optimization

Reference 21

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Observation 66398a9d-9461-4035-bdab-e1f7b4cf6f51 · outbound

This paper cites Mean-field limits for Consensus- Based Optimization and Sampling.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Mean-field limits for Consensus- Based Optimization and Sampling

Reference 22

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Observation 4222af24-d0f1-410b-a0fa-39f7ce9424ae · outbound

This paper cites Trudinger.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Trudinger

Reference 23

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Observation b1caa581-0d45-419a-b56f-65d094400b2c · outbound

This paper cites Evolutionary Multiplayer Games.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Evolutionary Multiplayer Games

Reference 24

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Observation 67c94230-2841-4b20-9b2d-8e17e15a23b9 · outbound

This paper cites Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence

Reference 25

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Observation 3c57baad-f675-4927-aac7-1a9f085c8bff · outbound

This paper cites Adaptive Gradient Multiobjective Particle Swarm Optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Adaptive Gradient Multiobjective Particle Swarm Optimization

Reference 26

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Observation 7e1fd582-2370-4ae4-bbdc-996b6f4d3ab2 · outbound

This paper cites A Simple Adaptive Procedure Leading to Correlated Equilibrium.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games A Simple Adaptive Procedure Leading to Correlated Equilibrium

Reference 27

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Observation ba2c624a-4118-49d5-a430-039bf9882471 · outbound

This paper cites Uniform-in-time mean-field limit estimate for the Consensus-Based Optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Uniform-in-time mean-field limit estimate for the Consensus-Based Optimization

Reference 28

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Observation 657edf67-48dd-4630-bdd1-c984e13c400b · outbound

This paper cites Self-interacting cbo: Existence, uniqueness, and long-time convergence.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Self-interacting cbo: Existence, uniqueness, and long-time convergence

Reference 29

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Observation 124e83f4-82a9-4f87-ab59-bb4cc4083832 · outbound

This paper cites On the mean-field limit for the consensus-based optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games On the mean-field limit for the consensus-based optimization

Reference 30

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local_arxiv, observed 2026-08-15T20:21:06.962318Z

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Observation 1c92521c-2c41-4c84-a3e9-06aa365dfec9 · outbound

This paper cites On the global convergence of particle swarm optimization methods.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games On the global convergence of particle swarm optimization methods

Reference 31

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Observation a685324a-36e1-41ce-beb9-c41a55ac8e0c · outbound

This paper cites Consensus-based optimization for saddle point problems.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Consensus-based optimization for saddle point problems

Reference 32

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Observation a9522bfd-bc15-4854-ac86-f6b9b7a4a5ef · outbound

This paper cites A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

Reference 33

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source=pdf_text observed=2026-08-15T20:21:06.828868Z digest=sha256:cd51005f2bba2f8eaa8f9392d5774fe1f5ee3821ef405a084b79a1ba522f5aaf

Observation e1bad332-bb23-4a4c-88bf-da2f9c3bfb94 · outbound

This paper cites Tretyakov.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Tretyakov

Reference 34

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.832762Z digest=sha256:6c2f5142b1705e84c17680e8761cc4d37ab651910f65b57f595fb20c0aa6faca

Observation 2ed49749-bfe4-457c-8eb7-d25495542123 · outbound

This paper cites Stochastic Stability of Differential Equations , volume 66 of Stochastic Modelling and Applied Probability.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Stochastic Stability of Differential Equations , volume 66 of Stochastic Modelling and Applied Probability

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.447398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.836942Z digest=sha256:452bcf002c8657b1c8b3e225197b9bc13ba31cce7c5f91f74e65e1dc08447c45

Observation cf54d75f-17b3-49c0-aac8-a82b7b7d0316 · outbound

This paper cites an unresolved cited work.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:21:07.434413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.841015Z digest=sha256:066c289bd64ef49c7aa9c3d94a3b7a00a300c140a65597a6b28fab2f8bd37a38

Observation 67ea39bf-5b1d-4719-93bb-4ea0859cd895 · outbound

This paper cites A unified game-theoretic approach to multiagent reinforcement learning.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games A unified game-theoretic approach to multiagent reinforcement learning

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.421514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.844964Z digest=sha256:a557725e7c25bc8f7b0d4d2b657d54ba85f17ba38d31cd294ad66f3f7298f07b

Observation a718b64b-c8d2-44bd-929b-1de17e5639ec · outbound

This paper cites Triple Generative Adversarial Nets.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Triple Generative Adversarial Nets

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.408723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.848892Z digest=sha256:d6cc5995acbc3cabd6d6078b9cfa9eefe2fbe956bb5d5a8fdb9c7f349eab690d

Observation 25781fa4-6f5e-4271-990c-48472c9a27f6 · outbound

This paper cites Budget Allocation Problem with Multiple Advertisers: A Game Theoretic View.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Budget Allocation Problem with Multiple Advertisers: A Game Theoretic View

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.395499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.852699Z digest=sha256:d71ac9d845c493dfd95cdd126a05f6597cf1d627c0dba4d5ba86b25c9b79ed97

Observation 3f66eb83-0b27-4ead-8076-19dd56919a32 · outbound

This paper cites Stochastic differential equations and applications.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Stochastic differential equations and applications

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.382375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.856530Z digest=sha256:80a7cd27b420c45c6e515bf7deb3e20bf3affb8da5f0f136cd646846eccb2558

Observation d93a16b6-5399-4bff-b412-7c4c2dafea80 · outbound

This paper cites Game Theory and Mechanism Design , volume 4 of IISc Lecture Notes Series.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Game Theory and Mechanism Design , volume 4 of IISc Lecture Notes Series

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.369075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.860421Z digest=sha256:aae0cc39b88a998f2d78b679acf03a8e6068a1ce45d3d3bcaa6dd85add89deaa

Observation b28f1828-28dc-4fe8-8fde-efe3734b02a1 · outbound

This paper cites an unresolved cited work.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:21:07.355444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.864544Z digest=sha256:73ed0a2cc84a2ffa73d5d0096e0e3ad01b606332214e2013eb84cafcda10ed0b

Observation 4f43b73e-d6f9-4958-8230-320054f03a6f · outbound

This paper cites Solving a Class of Non-Convex Min-Max Games Using Iterative First Order Methods.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Solving a Class of Non-Convex Min-Max Games Using Iterative First Order Methods

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.341005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.868771Z digest=sha256:b9b8c68ad233c7366900dc710915f8211b70b75d9c8c97b633aff033a4241075

Observation 9e27c0b3-14a6-49ef-8d93-0a21ee7025c2 · outbound

This paper cites A consensus-based model for global optimization and its mean-field limit.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games A consensus-based model for global optimization and its mean-field limit

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.326310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.872668Z digest=sha256:fe0d84ead6d08b0aae1c93e4381203e58db8cdc827528a3cddf53e32f22f689e

Observation 214f1882-08ba-4d85-99f6-c9e5bc971552 · outbound

This paper cites El-Gokhy, and Elsayed Sallam.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games El-Gokhy, and Elsayed Sallam

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.313093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.876462Z digest=sha256:88b9345e8ef72b341702fccf7c776cd5142d1c6a10dcde338cc874b52b6af39b

Observation 8a10543c-9a11-4dec-9797-ca8d6e1f0b03 · outbound

This paper cites Multi-Agent Generative Adversarial Imitation Learning.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Multi-Agent Generative Adversarial Imitation Learning

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.299890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.880268Z digest=sha256:121d7452da64a51f6b3c77849ee41068ec2b58a5a513dc3c536d1b3eb29341f1

Observation 39aedf7a-014b-4835-a3a7-c9b2a200bb78 · outbound

This paper cites Trends in consensus-based optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Trends in consensus-based optimization

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.285166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.884095Z digest=sha256:2dcf28c5eb81965c518cc08cd57adb9941e82d41e4d08b03801d3a1e7b57ef15

Observation c2ca8acc-0384-43bb-b27a-bb919ace1cc9 · outbound

This paper cites CB$^2$O: Consensus-Based Bi-Level Optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games CB$^2$O: Consensus-Based Bi-Level Optimization

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T20:21:06.887895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:21:06.887895Z digest=sha256:1805cc579d18a75c2d0404966d529d65a55fcc533782f9dec05a9ac7b2acdac5

Observation 4f75ac86-1f14-4544-8efb-12d6e5980050 · outbound

This paper cites Particle swarm optimization algorithm: an overview.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Particle swarm optimization algorithm: an overview

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:21:07.271392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:21:06.892057Z digest=sha256:410efd5bf943a48715e8702aa09a658d672685ebc569a4a0d7cf44a6ab104ca4

Observation ae2d8ccd-e5a7-4e5b-aeda-8fc936134927 · outbound

This paper cites Mathematical Analysis of the PDE Model for the Consensus-based Optimization.

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games Mathematical Analysis of the PDE Model for the Consensus-based Optimization

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-15T20:21:06.895943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:21:06.895943Z digest=sha256:dbe4403d7126c2f58f50b64a611a9cade4617dec8056c094023ee801a099a482

Pith citing papers

No inbound Pith citation observations are available.