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Paper Citation Record · LEDGER

On the convergence of fictitious play algorithm in repeated games via the geometrical approach

As of 23 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2412.19216.

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

pith.paper-citation-record.v1
2412.19216 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:55:52.086804Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy31
  • unresolved2
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9b154bf-94f8-436d-b7a9-e1bc422da814 · outbound

This paper cites Equilibrium points in n-person games.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Equilibrium points in n-person games

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 445d593f-2947-4db4-8f5b-854c905fefe3 · outbound

This paper cites Iterative solution of games by fictitious play.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Iterative solution of games by fictitious play

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.614141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 77db83de-4215-408c-beba-90c317b9814c · outbound

This paper cites The Theory of Learning in Games.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach The Theory of Learning in Games

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.600832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 9f413d38-7e2e-44a5-b26b-5c749a1a86a2 · outbound

This paper cites On the convergence of fictitious play.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach On the convergence of fictitious play

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.589485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.864740Z digest=sha256:e679678c00aabc2d32542c596d02b4ae3aba5dc0097ba0e8cc4a6ad2eca2ceec

Observation c3ba9147-866d-423f-b669-5af6dc50e89b · outbound

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

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious self-play in extensive-form games

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.573600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.882592Z digest=sha256:376d01247a33012ebf76282586afe8575fe990766564ee96e182ef503043d775

Observation a7c13ce5-cede-4d71-b3d1-e5458dd4c860 · outbound

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

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Deep Reinforcement Learning from Self-Play in Imperfect-Information Games

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T00:55:51.888819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 1626e20b-5a59-4f9b-b3c0-8bf4dfdf24e7 · outbound

This paper cites Fictitious play in zero-sum stochastic games.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious play in zero-sum stochastic games

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.559785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.896618Z digest=sha256:3d91b1abc082f05590ad4a9688c502e1fca1994e384db7eb0ab41b949bb69d0d

Observation e3706c74-e47c-4a5d-941c-5f385d1d6a95 · outbound

This paper cites Fictitious play in markov games with single controller.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious play in markov games with single controller

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.544326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.908568Z digest=sha256:7bf7f76058384bf45975821d48c0ca2ca04b1c09267267c5ee9f681d800bb23b

Observation 3335b243-19f3-4966-b8de-338de0286e5d · outbound

This paper cites An iterative method of solving a game.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach An iterative method of solving a game

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.527093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.918198Z digest=sha256:92a5551cc4b304d8129389eee8499d7aaf8453c6a7ebc739fe130b5fd1c4f9d6

Observation cdf265dc-0c5c-43cf-a708-5e614826897b · outbound

This paper cites On the convergence of learning processes in a 2x2 non-zero-person game.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach On the convergence of learning processes in a 2x2 non-zero-person game

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.511490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.929928Z digest=sha256:a0fbdaf4756db81af999a10f2e03ef55f30569f41eb6327fb3147eb0334aa986

Observation 9ff7a215-248f-4402-ad4d-2bf980262d80 · outbound

This paper cites Fictitious play property for games with identical interests.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious play property for games with identical interests

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.497201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.934263Z digest=sha256:5538261ee86c74394e312ec2ec007abc88aba6231560b3d6e6645146e34dbcd1

Observation dc6a1996-6eb8-483a-9a42-f304b085a51c · outbound

This paper cites Fictitious play in 2×n games.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious play in 2×n games

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.483861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.945529Z digest=sha256:ab1dcebe076e214c723387f681c23e73b7c5245583e2e734e0cffa67aee88746

Observation 20fe2f5f-66aa-488c-a35c-c27383ea5cce · outbound

This paper cites evolutionary.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach evolutionary

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.471701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.949886Z digest=sha256:65cfef5c22d0ab217bbc1235badf9836c2989ac7dd20e70ae2b2b26102ba16a0

Observation e1421f3b-3a44-4826-a843-dd50f7e9103a · outbound

This paper cites Two more classes of games with the continuous-time fictitious play property.Games and Economic Behavior, 60(2):247–261, 2007.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Two more classes of games with the continuous-time fictitious play property.Games and Economic Behavior, 60(2):247–261, 2007

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.459001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.954110Z digest=sha256:737956513204be189fccb0f585c55e509ef5c8dffe08db1290611273f2faab31

Observation 1b7f7985-4e46-4715-943f-6f4c4cda1feb · outbound

This paper cites Some topics in two-person games.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Some topics in two-person games

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.436306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.958150Z digest=sha256:26434e1fdc08b1b3c22c5ca216fffcf3a19eae89da4d106dd42307c0264b1333

Observation 9fc16b7c-4fb2-4db4-a791-67b9410207ef · outbound

This paper cites Shapley Polygons in 4 x 4 Games.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Shapley Polygons in 4 x 4 Games

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.421265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.961781Z digest=sha256:d04a2f2ab81eae7d31742cd630ad65cdfd576649f99e0cd7941ac367a27769bc

Observation 9d69841e-3eda-4e17-a7f8-eea5408e0a10 · outbound

This paper cites Three problems in learning mixed-strategy nash equilibria.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Three problems in learning mixed-strategy nash equilibria

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.409225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation c781f00d-32f1-45ee-959b-0d92f59ec672 · outbound

This paper cites Fictitious play in 3×3 games: The transition between periodic and chaotic behaviour.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious play in 3×3 games: The transition between periodic and chaotic behaviour

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.389942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.970032Z digest=sha256:677484c07b904dc9570f25c2902c29744be7da63edb6ab55aacdba24b6db7496

Observation df5eb44f-729f-401a-acab-1b254cc5b7a1 · outbound

This paper cites Fictitious play in 3×3 games: Chaos and dithering behaviour.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious play in 3×3 games: Chaos and dithering behaviour

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.366739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.975098Z digest=sha256:f8deed5e724cd468651f38de191bf8ba3bab39427c10d43839d544deb6d89970

Observation 4e4dac54-6034-4b4e-84b7-3025d932e0bf · outbound

This paper cites Cycles in adversarial regularized learning.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Cycles in adversarial regularized learning

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.353653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:51.980946Z digest=sha256:7ec388af8a341ac005d551abf4e6da525b86ab8021ab3f822981afc601aec418

Observation 529803f8-14fb-4317-8ea4-b569b5d4e87f · outbound

This paper cites On the impossibility of convergence of mixed strategies with optimal no-regret learning.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach On the impossibility of convergence of mixed strategies with optimal no-regret learning

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.340234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 766262fd-1edd-46a2-927a-e5353c910f7f · outbound

This paper cites Andrade, Rafael Frongillo, and Georgios Piliouras.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Andrade, Rafael Frongillo, and Georgios Piliouras

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.324429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f1faec7c-a7b8-4e8a-a651-7f6fa2f75a05 · outbound

This paper cites An impossibility theorem in game dynamics.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach An impossibility theorem in game dynamics

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.312157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.024749Z digest=sha256:665747ec57869341b99a10240db8893995493e39ec9b2f9c47ba4989e53f1232

Observation 42dd526e-3391-45b2-b7e1-03e3b273f9d1 · outbound

This paper cites On the convergence of fictitious play: A decompo- sition approach.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach On the convergence of fictitious play: A decompo- sition approach

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.298284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.029060Z digest=sha256:db1cdb884316f845987ff0543feea1948dddbfcca5583e81375bcc7cbfe598ad

Observation 93544066-941d-46e0-9566-557f2a590893 · outbound

This paper cites Fictitious play in 2 × 2 games: a geometric proof of convergence.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Fictitious play in 2 × 2 games: a geometric proof of convergence

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.264752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.032890Z digest=sha256:232ad40b29ba85daeeb7adcfe6048dd696728b5a24475ce8018c001291bac8ca

Observation dcdb5391-d6e9-4f5c-937b-0bf9a97f6daa · outbound

This paper cites Hamiltonian flows with random-walk behaviour originating from zero-sum games and fictitious play.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Hamiltonian flows with random-walk behaviour originating from zero-sum games and fictitious play

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.242626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.045492Z digest=sha256:bf4090d4718600e16f3a468a7b0ca8115ad2020101d37bd823aa44d88fb07c33

Observation 6692f7cd-a47f-47c9-8028-4ff7d362b644 · outbound

This paper cites Non-algebraic convergence proofs for continuous-time fictitious play.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Non-algebraic convergence proofs for continuous-time fictitious play

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.228837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.049376Z digest=sha256:91165c5ed1846dec69265471d06f866d9637f608bfbc4c206de49120da5de8db

Observation 7cd3a86d-4fd0-4ea5-8ea7-bb62fd91ba05 · outbound

This paper cites Periodic orbits in piecewise riccati vector fields.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Periodic orbits in piecewise riccati vector fields

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.214641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.053245Z digest=sha256:010e076901cc56620759166bcca7df5901af4397c7b1c1d327d1b915cbad9248

Observation 12536eb5-b794-4424-be8a-a13981c48494 · outbound

This paper cites Game Theory, Alive.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Game Theory, Alive

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.198452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.058552Z digest=sha256:dec689dd84b0b2ae0e324ed755eea65bec24ccdfd8625a79def1d0a60f5b1fa1

Observation 0710924d-9dbb-471f-af7f-a9868602e6f8 · outbound

This paper cites Game Theory and Mechanism Design.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Game Theory and Mechanism Design

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.183041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.065104Z digest=sha256:97ebf0c61bb9dba6dcb7196d5ca45ef47ad09f68e3ad247d9bbfd0a57981a95d

Observation 19a170d9-95d6-4f1d-be3a-497638f06c37 · outbound

This paper cites Computing equilibria of n-person games.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Computing equilibria of n-person games

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.170911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.074805Z digest=sha256:c12dd195f0497532077527a591df1ed7266c01144a92db13d4b7422f087687a2

Observation 04724fec-9b92-4738-8e1b-5dd731472f70 · outbound

This paper cites an unresolved cited work.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:55:52.155689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.080773Z digest=sha256:05de6e26e006eb82ee23179c8d0d378a9c52f8b9c3b10134e408fd09d0bb6d7d

Observation a27f68ca-35b7-457f-82fe-dece75c8eb62 · outbound

This paper cites Payoff performance of fictitious play.

On the convergence of fictitious play algorithm in repeated games via the geometrical approach Payoff performance of fictitious play

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:55:52.142671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T00:55:52.086804Z digest=sha256:b0875a48e77cd4be830b54d6b5f79794ee4874187054c2f6707344dcd2237b31

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