Paper Citation Record · LEDGER

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games

As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2512.16141.

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

pith.paper-citation-record.v1
2512.16141 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:46:57.836912Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T13:33:52.887784Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:19:38.100458Z

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy0
unresolved35
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External citation measurements

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Outbound references

Observation 434e2845-408f-4814-ac59-d1d1076339d9 · outbound

This paper cites Springer, 2007.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Springer, 2007

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.156708Z

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Observation c5373024-3682-4ab3-8778-21428a27e996 · outbound

This paper cites A distributed algorithm for aggregative games on directed communication graphs.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games A distributed algorithm for aggregative games on directed communication graphs

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.210801Z

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Observation c0c9c23d-33f0-400e-a5bb-b4278e1bd4f1 · outbound

This paper cites Non-monotone variational inequalities.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Non-monotone variational inequalities

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.290303Z

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Observation d566c275-57be-4693-8f33-fdda1241b0ba · outbound

This paper cites On non-monotone variational inequalities.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games On non-monotone variational inequalities

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.401337Z

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Observation f5388f02-daeb-4d93-830d-d1251a641274 · outbound

This paper cites Quasi nash equilibrium in low interaction network games.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Quasi nash equilibrium in low interaction network games

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.507085Z

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Observation 18649b69-cc3c-43a9-bf03-66547529be38 · outbound

This paper cites Tracking-based distributed equilibrium seeking for aggregative games.IEEE Transactions on Automatic Control, 69(9):6026–6041, 2024.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Tracking-based distributed equilibrium seeking for aggregative games.IEEE Transactions on Automatic Control, 69(9):6026–6041, 2024

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.588216Z

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Observation 87d32551-203e-46b4-89b0-2ab78d310f61 · outbound

This paper cites On the inverse function theorem.Pacific Journal of Mathematics, 64(1):97–102, 1976.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games On the inverse function theorem.Pacific Journal of Mathematics, 64(1):97–102, 1976

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.648990Z

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Observation 058df637-5b80-43b5-b1ea-265913bbb74e · outbound

This paper cites SIAM, 1990.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games SIAM, 1990

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.709683Z

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Observation 0e5336a3-a121-4cfd-a3c0-3e12899953d4 · outbound

This paper cites United we fall: On the nash equilibria of multiplex and multilayer network games.IEEE Transactions on Control of Network Systems, pages 1238–1250, 2025.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games United we fall: On the nash equilibria of multiplex and multilayer network games.IEEE Transactions on Control of Network Systems, pages 1238–1250, 2025

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.783993Z

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Observation 999e4b5c-1665-48f8-96af-0477c4b2025e · outbound

This paper cites Springer, 2003.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Springer, 2003

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:54.897907Z

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Observation da72bd46-1c41-4f91-a905-f934eb209df1 · outbound

This paper cites On matrices with non-positive off-diagonal elements and positive principal minors.Czechoslovak Mathematical Journal, 12:382–400, 1962.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games On matrices with non-positive off-diagonal elements and positive principal minors.Czechoslovak Mathematical Journal, 12:382–400, 1962

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.016328Z

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Observation 49543800-bd7c-4534-8b25-31bf323c2034 · outbound

This paper cites A generalized iterative water-filling algorithm for distributed power control in the presence of a jammer.IEEE Transactions on Signal Processing, 57(7):2660–2674, 2009.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games A generalized iterative water-filling algorithm for distributed power control in the presence of a jammer.IEEE Transactions on Signal Processing, 57(7):2660–2674, 2009

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.115828Z

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Observation 4f2ca518-b2a0-48cd-b323-9258a3835511 · outbound

This paper cites Nash-cournot equilibria in electric power markets with piecewise linear demand functions and joint constraints.Operations Research, 55(1):113–127, 2007.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Nash-cournot equilibria in electric power markets with piecewise linear demand functions and joint constraints.Operations Research, 55(1):113–127, 2007

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.260802Z

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Observation d512b231-cc78-45d2-bd6d-7bb2d10f41ed · outbound

This paper cites Beyond monotone variational inequalities: solution methods and iteration complexities.Pacific Journal of Optimization, 20(3):403–428, 2024.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Beyond monotone variational inequalities: solution methods and iteration complexities.Pacific Journal of Optimization, 20(3):403–428, 2024

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.368132Z

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Observation 1cc58e2f-2f37-46ac-be49-f58c442da0a1 · outbound

This paper cites Support functions of the clarke generalized jacobian and of its plenary hull.Nonlinear Analysis: Theory, Methods & Applications, 49(8):1111–1125, 2002.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Support functions of the clarke generalized jacobian and of its plenary hull.Nonlinear Analysis: Theory, Methods & Applications, 49(8):1111–1125, 2002

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.480505Z

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Observation 5e67f206-92f2-4c9c-8a26-0278aac863b8 · outbound

This paper cites SIAM, 2000.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games SIAM, 2000

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.612892Z

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Observation ec9e3a73-89ae-45b7-b262-1c8ca2565f33 · outbound

This paper cites Mathematics in Science and Engineering, C.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Mathematics in Science and Engineering, C

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.696042Z

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Observation c9f9dcac-b6e3-49c0-beca-1ddc442f3d8d · outbound

This paper cites an unresolved cited work.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.841166Z

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Observation c1ea11f8-055f-4bd9-b112-3e23863914eb · outbound

This paper cites Cambridge University Press, 1996.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Cambridge University Press, 1996

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:55.993652Z

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Observation ad228e7b-a74d-4b85-897c-f019d6b13816 · outbound

This paper cites A variational approach to network games.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games A variational approach to network games

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:56.119610Z

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Observation 1ca43f33-20b5-41bd-91e0-e82239a28b32 · outbound

This paper cites SIAM, 2023.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games SIAM, 2023

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:56.240829Z

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Observation c9341bb5-a896-45c5-a3a9-d3d36fd32e0a · outbound

This paper cites On the uniqueness and stability of equilibria of network games.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games On the uniqueness and stability of equilibria of network games

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:56.373105Z

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Observation e99b8662-6a1e-4354-8be9-6d192fe7db72 · outbound

This paper cites Infinite dimensional clarke generalized jacobian.Journal of Convex Analysis, 14(2):433–454, 2007.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Infinite dimensional clarke generalized jacobian.Journal of Convex Analysis, 14(2):433–454, 2007

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:56.503036Z

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Observation f50ddbd6-6f57-4aee-bef1-d493d157ade8 · outbound

This paper cites Infinite dimensional generalized jacobian: properties and calculus rules.Journal of mathematical analysis and applications, 344(1):55–75, 2008.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Infinite dimensional generalized jacobian: properties and calculus rules.Journal of mathematical analysis and applications, 344(1):55–75, 2008

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:56.615413Z

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Observation 1e30cd4c-dce0-47ce-a286-a230a64cb02d · outbound

This paper cites Nonconvex games with side constraints.SIAM Journal on Optimization, 21(4):1491–1522, 2011.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Nonconvex games with side constraints.SIAM Journal on Optimization, 21(4):1491–1522, 2011

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:56.767437Z

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Observation 254fd604-dd59-46db-926b-a45152f52006 · outbound

This paper cites Joint sensing and power allocation in nonconvex cognitive radio games: Quasi-nash equilibria.IEEE Transactions on Signal Processing, 61(9):2366–2382, 2013.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Joint sensing and power allocation in nonconvex cognitive radio games: Quasi-nash equilibria.IEEE Transactions on Signal Processing, 61(9):2366–2382, 2013

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:56.961001Z

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Observation 8d697e4e-6ebd-4323-a79d-800055954621 · outbound

This paper cites A variational inequality framework for network games: Existence, uniqueness, convergence and sensitivity analysis.Games and Economic Behavior, 114:47–82, 2019.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games A variational inequality framework for network games: Existence, uniqueness, convergence and sensitivity analysis.Games and Economic Behavior, 114:47–82, 2019

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.115729Z

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Observation 3ffef690-c43b-4565-9390-ae5e9f134e83 · outbound

This paper cites Gradient methods for the minimisation of functionals.USSR Computational Mathematics and Mathematical Physics, 3(4):864–878, 1963.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Gradient methods for the minimisation of functionals.USSR Computational Mathematics and Mathematical Physics, 3(4):864–878, 1963

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.275332Z

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Observation 4fa4d847-c8cf-4203-a659-d7f73f7610c7 · outbound

This paper cites Generalized nash equilibrium seeking for aggregative games over weight-unbalanced digraphs.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Generalized nash equilibrium seeking for aggregative games over weight-unbalanced digraphs

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.375678Z

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Observation f76056c0-2899-4fc1-8b99-01efe2ec8078 · outbound

This paper cites an unresolved cited work.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.427721Z

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Observation 27c27d7a-83b9-4448-95e8-c24accbe03bf · outbound

This paper cites Characterization and computation of local nash equilibria in continuous games.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Characterization and computation of local nash equilibria in continuous games

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.533112Z

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Observation 5cb1a73f-7da9-49ba-bfa3-86f3e551a4de · outbound

This paper cites On the characterization of solution sets of smooth and nonsmooth convex stochastic nash games.SIAM Journal on Optimization, 21(3):1168–1199, 2011.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games On the characterization of solution sets of smooth and nonsmooth convex stochastic nash games.SIAM Journal on Optimization, 21(3):1168–1199, 2011

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.594141Z

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Observation 430abb9f-0677-44ac-a2ef-7ac816b9a677 · outbound

This paper cites Existence and uniqueness of equilibrium points for concave n-person games.Econometrica: Journal of the Econometric Society, pages 520–534, 1965.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Existence and uniqueness of equilibrium points for concave n-person games.Econometrica: Journal of the Econometric Society, pages 520–534, 1965

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.655395Z

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Observation 554af6c8-cdb7-4089-a3a2-1238eaa0fe81 · outbound

This paper cites Convex optimization, game theory, and variational inequality theory.IEEE Signal Processing Magazine, 27(3):35–49, 2010.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games Convex optimization, game theory, and variational inequality theory.IEEE Signal Processing Magazine, 27(3):35–49, 2010

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.769356Z

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Unavailable: canonical work link unavailable.

Observation e20a7acd-863a-489f-a42f-ca878b1fc82b · outbound

This paper cites A behavioral model of rational choice.The quarterly journal of economics, pages 99–118, 1955.

Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games A behavioral model of rational choice.The quarterly journal of economics, pages 99–118, 1955

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T15:46:57.836912Z

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Pith citing papers

Observation 6234fff7-9137-465b-b9f7-a06d5ec087aa · inbound

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities cites this paper.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-14T02:20:21.031592Z

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.