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Paper Citation Record · LEDGER

Tie-breaking Agnostic Lower Bound for Fictitious Play

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.788334Z digest=sha256:b5646b1a3bd1cf6bdbcc30ef4e1315c6e006b31593a9c7010868a13240781872

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.817335Z digest=sha256:d781aef1a42ea04b24636b17ebfbdc1e952690f4eedff5bc5639993a88c78791

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.845413Z digest=sha256:74f2b36c7ea8a5ee4762dc32ed07267c32d12e42adb9dc54d39bbae59206abbd

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.860583Z digest=sha256:875258ebe18578af8f97a9550642b0166424383e8c10251498942a5319a997c8

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.895809Z digest=sha256:25f3f09a935213e2e88a54d90d549b15d251fa7746f69588bbfc9f9206b7eb59

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.931976Z digest=sha256:3652f351855400aa08e4470f010c85d642d295e521b857469f924154ce561167

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:43.967629Z digest=sha256:f462ce00ae8c73027d49c907d529aecc84fd1f2fade3b764e762d232b1de6bc2

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=sha256:0fa6ca47f402d170abfa0a3f5643e1ad2dad69333c4c18d56a06f78ce81f32a9

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.037519Z digest=sha256:c10b9b3896d1443e080bfce5abce32725b79f5861918d7e86ba1ae3147b2b80f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.049403Z digest=sha256:23e987821303a734babbdc880aedc84f7da6b8379d2f55a85d9607c6021609db

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.053490Z digest=sha256:d939161d7d8f9761c5b3ffc7ba25962046f396d51c79185ccd6bf564bf6f1c69

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.057008Z digest=sha256:6fb656f2e90388d943c252855826dd003d42a29f5739faa2eb010bd278d0e910

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T17:56:44.062596Z digest=sha256:2a7cee96832cb50ee007a0a048c441021d2927b696297ccfa79a30f813830680

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-15T11:57:20.483259Z digest=sha256:0295807e04cc13a769853eaf7830a6359eb1b3de4d321465693689a1eb9380ea

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-27T07:50:44.299416Z digest=sha256:d35dee2518ced837d74793c1516b7ded597655f4c56ea22dbeed967d356b0ad3