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Paper Citation Record · LEDGER

Tie-breaking Agnostic Lower Bound for Fictitious Play

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.788334Z digest=sha256:25f7863c0b1255e233721306d19eb67cf1d5962bc5c372534b8cdf839e4fa702

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.817335Z digest=sha256:86ba1854416c60a9b377774ce7594d45f56c710443c1974ba9f5532eeeccce4b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.845413Z digest=sha256:16af42824b8cbfe11a302549316374b94fb56107bca78ea7b87f6e577ef2a5e1

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.860583Z digest=sha256:f2407a329fe7ff8c9622e589d13b91112abef8e8230deb311d74babaaed4d33e

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.895809Z digest=sha256:02d9ee5cd8e0b0cec48ab4ffab4299ca6dd0f0d4087848cae94679e1618b2a9b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.931976Z digest=sha256:e1bbdd9b05e36e5a761ed5b8e95b44d9438df2774cfcd29d049eb30850af3ca1

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.967629Z digest=sha256:1588f1b54ff650fcbd7439cea6287780f72a4973b292e24db349b6e532e8b464

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=sha256:9d65c46b3caa9d420d76cf7d599d5e01a1f08f552a643fe6227b6dd2f65e974b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.037519Z digest=sha256:cd3bf9fc339e32be3c997ee611638c25b8465e51b8bb8ed085d94606a22c4025

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.049403Z digest=sha256:73ea18138f461041efd5ef2aa2b1774c7e07aa057a53304a129d34cefe3ad4ce

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.053490Z digest=sha256:953d504da4df031ef64c03e484e3bf56f96fa1de67b4d5f2b6797d56dfa56d2c

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.057008Z digest=sha256:08a0ea375e1fc76243d5a8bcda1002ef0a02fcae5c8920583f1a155d44d17666

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.062596Z digest=sha256:01dd1931ebc86c240e865eff0bcb7781f06af15efa712048568178a17fce1c46

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T11:57:20.483259Z digest=sha256:0ffa30b1e0b7d881d48e7071ac09728c7eca5a44404dc9bf160eca17ceef5982

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T07:50:44.299416Z digest=sha256:ef535fa630ccd91f8dd12a92637a5d6f4a9ba6b826119c241b1ef5f11ea876c2