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Paper Citation Record · LEDGER

Tie-breaking Agnostic Lower Bound for Fictitious Play

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2507.09902.

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

pith.paper-citation-record.v1
2507.09902 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:56:44.062596Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T07:50:44.299416Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:38:18.552642Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8548f646-e47f-4743-889e-0905b5c8fd5d · outbound

This paper cites Fast convergence of fictitious play for diagonal payoff matrices.

Tie-breaking Agnostic Lower Bound for Fictitious Play Fast convergence of fictitious play for diagonal payoff matrices

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.346324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.788334Z digest=sha256:512e95975f32bdb6eda65ea7021207dcd99c57ae4e25770dee725b1e1c96e55a

Observation ab41f394-dbf9-426e-9705-b5496f75fafa · outbound

This paper cites Fictitious play in 2 n games.

Tie-breaking Agnostic Lower Bound for Fictitious Play Fictitious play in 2 n games

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.335494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.817335Z digest=sha256:62f8e687d17ab83ecab72a8757a60c751804941de1bcff9b8dc3a5b67eec0f7b

Observation 790f0bdc-7210-4135-a956-18e510907d1a · outbound

This paper cites Iterative solution of games by fictitious play.

Tie-breaking Agnostic Lower Bound for Fictitious Play Iterative solution of games by fictitious play

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.324248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.845413Z digest=sha256:89ea4bc649a84b349b6dec8ffb4805df50ca3e5e7bbc4526bf565af3ec16efed

Observation 5bb8fc77-f966-4b7d-8af7-be7519989608 · outbound

This paper cites A counter-example to karlin's strong conjecture for fictitious play.

Tie-breaking Agnostic Lower Bound for Fictitious Play A counter-example to karlin's strong conjecture for fictitious play

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.312580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.860583Z digest=sha256:79f0f0362394cc059738d8ec1be25e16b12ea57d415b116cb167d66a9204348d

Observation bac4d58c-2b62-41fa-aca7-0eb34963f0b2 · outbound

This paper cites Fictitious play, shapley polygons, and the replicator equation.

Tie-breaking Agnostic Lower Bound for Fictitious Play Fictitious play, shapley polygons, and the replicator equation

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.300504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.895809Z digest=sha256:22125b54810db771f5e3ff75b476d22544ee52f241fd11a6a61ab47897b9f44d

Observation 58c13477-93e2-40b3-9212-cb8ee220af3e · outbound

This paper cites Frank-wolfe algorithms for saddle point problems.

Tie-breaking Agnostic Lower Bound for Fictitious Play Frank-wolfe algorithms for saddle point problems

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.288187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.931976Z digest=sha256:03f6b0df72da744a763657d13e2e7414e316762a5bcb494dbd54851b8252b0ec

Observation e653be81-0a49-4561-bae0-f10b826264ec · outbound

This paper cites On the rate of convergence of continuous-time fictitious play.

Tie-breaking Agnostic Lower Bound for Fictitious Play On the rate of convergence of continuous-time fictitious play

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.276821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.967629Z digest=sha256:3c73336865d89f57a1aa8d992f5b0b260313a8c33c6c58b6d0f052c85012fea5

Observation ef902a15-0f92-492b-a3fe-3ed5771f3bf5 · outbound

This paper cites Deep Reinforcement Learning from Self-Play in Imperfect-Information Games.

Tie-breaking Agnostic Lower Bound for Fictitious Play Deep Reinforcement Learning from Self-Play in Imperfect-Information Games

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T17:56:44.003276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T17:56:44.003276Z digest=sha256:c18b91b771983a465592cde02d0b4f26aba1df8d91c4d63f1a8ecc8d30f75246

Observation 226fcc96-4477-45f4-9349-87b0b3a7d61c · outbound

This paper cites Fictitious self-play in extensive-form games.

Tie-breaking Agnostic Lower Bound for Fictitious Play Fictitious self-play in extensive-form games

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.265861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.037519Z digest=sha256:973582ffa0606b542c52297bed06a4444e61fe5662a0a89de26ca235b60113f4

Observation 08668182-d47d-40b7-b5ee-7df9b486f6aa · outbound

This paper cites Mathematical Methods and Theory in Games, Programming, and Economics: Matrix Games, Programming, and Economics.

Tie-breaking Agnostic Lower Bound for Fictitious Play Mathematical Methods and Theory in Games, Programming, and Economics: Matrix Games, Programming, and Economics

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.254306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.049403Z digest=sha256:4e34960e47ae8383b001d684e911ff99a0511f6092c547e5403b96554c28dfca

Observation 46670fb2-2262-4caf-83f3-7cb2fe8ee75d · outbound

This paper cites An iterative method of solving a game.

Tie-breaking Agnostic Lower Bound for Fictitious Play An iterative method of solving a game

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.242769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.053490Z digest=sha256:7ccf4897ddab550c0c227fb8b487aa34913078a8fe7b23e2667d8c9dc765da83

Observation 6a962bc6-b42d-4049-a443-388b5ea5c942 · outbound

This paper cites Note on a computation method in the theory of games.

Tie-breaking Agnostic Lower Bound for Fictitious Play Note on a computation method in the theory of games

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:56:44.231602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.057008Z digest=sha256:97f92fae3c05c79d2c50a03b26acd9428b8c7c54628f4a20f7e47b48ef9732a6

Observation ab550f00-e302-442e-9a2c-03f290466a4e · outbound

This paper cites an unresolved cited work.

Tie-breaking Agnostic Lower Bound for Fictitious Play Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:56:44.218110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.062596Z digest=sha256:ea74e2101000a9a80cd9270b257d0059f846a12e7f7b6be55373b9bc52882ed2

Pith citing papers

Observation 4755b039-0107-43cb-a5de-e225b7242dbd · inbound

Convergence of the Frank-Wolfe Algorithm for Monotone Variational Inequalities cites this paper.

Convergence of the Frank-Wolfe Algorithm for Monotone Variational Inequalities Tie-breaking Agnostic Lower Bound for Fictitious Play

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-15T11:59:59.422980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T11:57:20.483259Z digest=sha256:866002fd5c154153506d5cecdb7060ba02519d0ef6da51573b7d0eccb001ca1b

Observation 84a8c50d-f9ac-4dd0-b9c0-df51389ed512 · inbound

Do Not Discretize, Optimize: Almost Greedy Fictitious Play cites this paper.

Do Not Discretize, Optimize: Almost Greedy Fictitious Play Tie-breaking Agnostic Lower Bound for Fictitious Play

Reference 14

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T13:38:18.554270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T07:50:44.299416Z digest=sha256:595793709a0da387e8b2d5bb25b0ccd27363a614a278485c1db9eabfbf97e6a8