Paper Citation Record · LEDGER

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.10293.

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pith.paper-citation-record.v1
2608.10293 v1

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measured 40 of 40 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation 062f5ce9-bf59-4d5b-99d2-bb85a89ca344 · outbound

This paper cites Bregman-projected mirror methods for regularized stationary mean-field games.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Bregman-projected mirror methods for regularized stationary mean-field games

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:22:24.733262Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 487cc3b6-65d2-4456-964a-647375c8a802 · outbound

This paper cites Mean field games: convergence of a finite difference method.SIAM Journal on Numerical Analysis, 51(5):2585–2612, 2013.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Mean field games: convergence of a finite difference method.SIAM Journal on Numerical Analysis, 51(5):2585–2612, 2013

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.334679Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0d49fddb-0f79-4d5d-9fd1-a2e55090b396 · outbound

This paper cites Mean field games: numerical methods.SIAM Journal on Numerical Analysis, 48(3):1136–1162, 2010.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Mean field games: numerical methods.SIAM Journal on Numerical Analysis, 48(3):1136–1162, 2010

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.319737Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a4e9d873-2600-46e0-9d2a-bc16d6e413e3 · outbound

This paper cites Mean field games and applications: Numerical aspects.Mean Field Games: Cetraro, Italy 2019, pages 249–307, 2020.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Mean field games and applications: Numerical aspects.Mean Field Games: Cetraro, Italy 2019, pages 249–307, 2020

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.294869Z

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Observation ddb2975e-f2cc-4328-8eb6-83e8b837a64e · outbound

This paper cites CEMRACS 2017: numerical probabilistic approach to MFG.ESAIM: Proceedings and Surveys, 65:84–113, 2019.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria CEMRACS 2017: numerical probabilistic approach to MFG.ESAIM: Proceedings and Surveys, 65:84–113, 2019

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.276577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b2259212-3ae7-42da-a88a-643f8774f6ab · outbound

This paper cites Approxi- mate variational inequalities and equilibria.Computational Management Science, 20(1):43, 2023.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Approxi- mate variational inequalities and equilibria.Computational Management Science, 20(1):43, 2023

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.256258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7d0c2b3c-0238-4974-b8a5-ad09b7a800a8 · outbound

This paper cites Proximal methods for stationary mean field games with local couplings.SIAM Journal on Control and Optimization, 56(2):801–836, 2018.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Proximal methods for stationary mean field games with local couplings.SIAM Journal on Control and Optimization, 56(2):801–836, 2018

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.243332Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 53aa1912-c394-45c8-bc7e-af0de4038a84 · outbound

This paper cites A policy iteration method for mean field games.ESAIM: Control, Optimisation and Calculus of Variations, 27:85, 2021.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria A policy iteration method for mean field games.ESAIM: Control, Optimisation and Calculus of Variations, 27:85, 2021

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.228300Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4e5bccd8-d2e6-4892-bbc2-1ad921eeab52 · outbound

This paper cites Learning in mean field games: the fictitious play.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Learning in mean field games: the fictitious play

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:24.337451Z

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Observation abcccdf8-d061-4c54-ac7a-5c056bc21ff8 · outbound

This paper cites Selection by vanishing common noise for potential finite state mean field games.Communications in Partial Differential Equations, 47(1):89–168, 2022.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Selection by vanishing common noise for potential finite state mean field games.Communications in Partial Differential Equations, 47(1):89–168, 2022

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.203193Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d4cdd24b-7ba4-44cc-aa5b-12f0f0316b8b · outbound

This paper cites Context tree estimation for not necessarily finite memory processes, via BIC and MDL.IEEE Transactions on Information Theory, 52(3):1007–1016, 2006.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Context tree estimation for not necessarily finite memory processes, via BIC and MDL.IEEE Transactions on Information Theory, 52(3):1007–1016, 2006

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.184059Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fe6fb155-25d6-4445-b6e0-707e73f2c6e1 · outbound

This paper cites Approximately solving mean field games via entropy-regularized deep reinforcement learning.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Approximately solving mean field games via entropy-regularized deep reinforcement learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:24.350363Z

Source-reported events for the cited work

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Observation 5edbbd16-a51a-452b-84c7-8af96738b67b · outbound

This paper cites Learning mean-field games.Advances in Neural Information Processing Systems, 32, 2019.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Learning mean-field games.Advances in Neural Information Processing Systems, 32, 2019

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.160060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation aded075b-79c3-4d01-99fd-065c9274fa98 · outbound

This paper cites Entropy regularization for mean field games with learning.Mathematics of Operations Research, 47(4):3239–3260, 2022.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Entropy regularization for mean field games with learning.Mathematics of Operations Research, 47(4):3239–3260, 2022

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:24.359952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75e7b240-f796-4aab-8552-cec7f750dbfa · outbound

This paper cites Learning in anonymous nonatomic games with applications to first-order mean field games.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Learning in anonymous nonatomic games with applications to first-order mean field games

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:22:24.714206Z

Source-reported events for the cited work

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Observation f1af6d1e-86d7-49c8-8c96-e33be4b53b90 · outbound

This paper cites Learning in nonatomic games, part i: Finite action spaces and population games.Journal of Dynamics and Games, 9(4):433–460, 2022.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Learning in nonatomic games, part i: Finite action spaces and population games.Journal of Dynamics and Games, 9(4):433–460, 2022

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.134278Z

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Observation 34ccb40d-2331-42ef-b631-ac796fbc518a · outbound

This paper cites Finite mean field games: fictitious play and convergence to a first order continuous mean field game.Journal de Math´ ematiques Pures et Appliqu´ ees, 132:369–397, 2019.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Finite mean field games: fictitious play and convergence to a first order continuous mean field game.Journal de Math´ ematiques Pures et Appliqu´ ees, 132:369–397, 2019

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.118363Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 29e72759-30f5-492f-a496-6354b7072577 · outbound

This paper cites an unresolved cited work.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:22:25.086610Z

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Observation e0bc774b-9332-437f-9ce6-8fd5e30d2356 · outbound

This paper cites Evolution of mixed strategies in monotone games.SIAM Journal on Optimization, 33(4):2750–2771, 2023.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Evolution of mixed strategies in monotone games.SIAM Journal on Optimization, 33(4):2750–2771, 2023

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.053839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1385a4bd-a18c-4839-b56c-6f6410c8ad61 · outbound

This paper cites Last iterate convergence in monotone mean field games.Advances in Neural Information Processing Systems, 38:18086–18119, 2025.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Last iterate convergence in monotone mean field games.Advances in Neural Information Processing Systems, 38:18086–18119, 2025

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.031353Z

Source-reported events for the cited work

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Observation 8d2b66c1-9500-4c5b-acfd-1d3b4f9782aa · outbound

This paper cites The extragradient method for finding saddle points and other problems.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria The extragradient method for finding saddle points and other problems

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:24.426913Z

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Observation a6b55349-a64a-48fe-9c91-13157e62645e · outbound

This paper cites Regularized iterative stochastic approxi- mation methods for stochastic variational inequality problems.IEEE Transactions on Automatic Control, 58(3):594–609, 2012.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Regularized iterative stochastic approxi- mation methods for stochastic variational inequality problems.IEEE Transactions on Automatic Control, 58(3):594–609, 2012

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:25.002475Z

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Observation 52fc1b25-c10e-4bae-8f9d-e37290891fab · outbound

This paper cites Mean field games.Japanese Journal of Mathematics, 2(1):229–260, 2007.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Mean field games.Japanese Journal of Mathematics, 2(1):229–260, 2007

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:24.442111Z

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Observation c81791c4-5b7d-46e3-8a8b-144a6ac45140 · outbound

This paper cites Numerical Methods for Mean Field Games and Mean Field Type Control.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Numerical Methods for Mean Field Games and Mean Field Type Control

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:24.445747Z

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Observation 0bc4e780-ba9a-4cfa-aec0-19b1d6d42426 · outbound

This paper cites Scalable deep reinforce- ment learning algorithms for mean field games.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Scalable deep reinforce- ment learning algorithms for mean field games

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.972600Z

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Observation 5e6cc775-f63c-40d1-9e60-8c3a1fe6f7a0 · outbound

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

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Learning in Mean Field Games: A Survey

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:24.453642Z

Source-reported events for the cited work

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Observation f42e5567-54bf-4fbd-b4f4-5622135ddf3e · outbound

This paper cites Generalized conditional gradient and learning in potential mean field games.Applied Mathematics & Optimization, 88(3):89, 2023.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Generalized conditional gradient and learning in potential mean field games.Applied Mathematics & Optimization, 88(3):89, 2023

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.953131Z

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Observation 145d3791-ef1d-4767-b142-95937b7d7fa3 · outbound

This paper cites Computational methods for first-order nonlocal mean field games with applications.SIAM Journal on Numerical Analysis, 59(5):2639–2668, 2021.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Computational methods for first-order nonlocal mean field games with applications.SIAM Journal on Numerical Analysis, 59(5):2639–2668, 2021

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.938409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 83f697d8-37ac-4c3d-910b-cfa4bbc273ab · outbound

This paper cites Solving continuous mean field games: Deep reinforcement learning for non-stationary dynamics.Advances in Neural Information Processing Systems, 38:104325–104354, 2025.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Solving continuous mean field games: Deep reinforcement learning for non-stationary dynamics.Advances in Neural Information Processing Systems, 38:104325–104354, 2025

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.912011Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c16041b-1a7f-4a0b-b4b5-688b6ed4607a · outbound

This paper cites Extragradient methods for mean field games of controls and mean field type FBSDEs.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Extragradient methods for mean field games of controls and mean field type FBSDEs

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:22:24.648924Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3a3987fb-7aa7-4621-a058-46a39adf4953 · outbound

This paper cites Prox-method with rate of convergenceO(1/t) for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Prox-method with rate of convergenceO(1/t) for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.880937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dace309b-a45c-4788-810d-a062d34150e8 · outbound

This paper cites Scaling mean field games by online mirror descent.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Scaling mean field games by online mirror descent

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.868160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fbdd9a06-ae3f-479e-a791-c7c250e70896 · outbound

This paper cites Fictitious play for mean field games: Continuous time analysis and applications.Ad- vances in Neural Information Processing Systems, 33:13199–13213, 2020.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Fictitious play for mean field games: Continuous time analysis and applications.Ad- vances in Neural Information Processing Systems, 33:13199–13213, 2020

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.850031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6d43dc9-0130-447e-b89a-8e2571b89570 · outbound

This paper cites Upper bounds on the relative entropy and R´ enyi divergence as a function of total variation distance for finite alphabets.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Upper bounds on the relative entropy and R´ enyi divergence as a function of total variation distance for finite alphabets

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.832442Z

Source-reported events for the cited work

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Observation b644d23b-198f-4678-8f36-705c14e9cedf · outbound

This paper cites Particle system approximation of Nash equilibria in large games.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Particle system approximation of Nash equilibria in large games

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:22:24.625577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4ba32ece-4e75-4fa4-be33-3ab2a63c7e40 · outbound

This paper cites A variational inequality approach to independent learning in static mean-field games.ACM/IMS Journal of Data Science, 2(2):1–43, 2025.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria A variational inequality approach to independent learning in static mean-field games.ACM/IMS Journal of Data Science, 2(2):1–43, 2025

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.817213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ec1fe946-c80f-4219-abb9-c42bf7ca0fe4 · outbound

This paper cites an unresolved cited work.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:22:24.802327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 64df34fb-d6eb-427a-a317-10633c45069f · outbound

This paper cites Proof.Let µ= nX i=1 piδxi ∈ P(X) withp i >0 for alli.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Proof.Let µ= nX i=1 piδxi ∈ P(X) withp i >0 for alli

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.788318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0d114545-732f-4506-8418-706e718dc570 · outbound

This paper cites an unresolved cited work.

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:22:24.761678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d57e151a-eb82-447e-9fb5-d91f1aa06d5c · outbound

This paper cites Proof.We first prove that (F.1) implies (F.2).

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria Proof.We first prove that (F.1) implies (F.2)

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:24.748019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

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