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Paper Citation Record · LEDGER

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.21079.

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

pith.paper-citation-record.v1
2506.21079 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:44:43.877002Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy9
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e2193548-ba8c-4151-b783-bc6f920fc665 · outbound

This paper cites Markov games as a framework for multi- agent reinforcement learning.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Markov games as a framework for multi- agent reinforcement learning

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:44.064820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.829640Z digest=sha256:9762835d80b703ce666044d167efe40238a977178ccbf7bf30954f9678d9bee9

Observation 4c118239-f9a6-4790-b67d-c1b7b8c7b5f2 · outbound

This paper cites Algorithms, machine learning, and col lusion.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Algorithms, machine learning, and col lusion

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:44.051804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.834075Z digest=sha256:41ffac6230394a845a8e498320027dbe9607dc3489d21b704862c4d7ca8d91f8

Observation 97b4f1d0-7833-458c-b48f-02a600b69210 · outbound

This paper cites Artificial intelligence, algorith- mic pricing, and collusion.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Artificial intelligence, algorith- mic pricing, and collusion

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:44.039428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.838373Z digest=sha256:40e552561e76cf54be894c9cad28e9139c8c3b2627b4c44455b046ec05474682

Observation 9aeca44c-b4c2-4b9f-ba07-fe05c75082ad · outbound

This paper cites Artificial Intelligence and Spontaneous Collusion.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Artificial Intelligence and Spontaneous Collusion

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T22:44:43.842096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:44:43.842096Z digest=sha256:3817e8ea9c677c1725923b8ffae3f3ae93871dc2b51591f9db38823d49ae4b62

Observation 37c7f90b-1b73-4116-9ad9-fd758a0ae867 · outbound

This paper cites Solutions of ordinary differential equat ions as limits of pure jump markov processes.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Solutions of ordinary differential equat ions as limits of pure jump markov processes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:44.026570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.846653Z digest=sha256:7586d358a66e803e1f222c10a781169cd98667422b5d591c42de837487c10455

Observation dd0c8f5f-4e11-47b1-8eda-e9ffe9a19481 · outbound

This paper cites Fluid Limits of Pure Jump Markov Processes: a Practical Guide.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Fluid Limits of Pure Jump Markov Processes: a Practical Guide

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:44:43.936279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.850700Z digest=sha256:8a63908ace655f72b1982c001edd09f0bc91404f48850a8eac29ef701f780049

Observation 7e5a10c4-3253-4c5a-8848-7de98dbbf248 · outbound

This paper cites Geometric fluid approximation for general continuous-time markov chains.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Geometric fluid approximation for general continuous-time markov chains

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:44.013098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.855623Z digest=sha256:fe6bae69a41be278f37859b15ed44423992f23db79ccc65da23ff88ebbe4c918

Observation ea3df568-8ef7-46ce-b6a3-8a97c4d675c3 · outbound

This paper cites Differential equation approximati ons for markov chains.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Differential equation approximati ons for markov chains

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:44.000624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.859606Z digest=sha256:1c1e59208db61241fee9a2640959b98e46ffcb8682090ae83ddad56baeae776b

Observation e8bd5a7e-ca84-4376-b9ea-6c13d40e91f8 · outbound

This paper cites Stochastic approximation with two time s cales.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Stochastic approximation with two time s cales

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:43.988204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.863846Z digest=sha256:429b3cbace0ad05a2061b209009b62dc9b3dce8dce9308dd3f18317bb22430ca

Observation 438fce0e-a78a-4666-8213-2ad45889bdc3 · outbound

This paper cites Computing the Bias of Constant-step Stochastic Approximation with Markovian Noise.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Computing the Bias of Constant-step Stochastic Approximation with Markovian Noise

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:44:43.917905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.868732Z digest=sha256:2df101f21f98a1f85227e6ec9670631ef76d207a85e324d5b9a8cb799a7033f9

Observation 06a45649-9c2d-4fda-b6b6-c34af1a14b04 · outbound

This paper cites Multiscale methods: averaging and homogenization , volume 53.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Multiscale methods: averaging and homogenization , volume 53

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:43.977036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.873034Z digest=sha256:b6d00c77abda5b563263e4ef4f9495ac6c5e48f77ffcde6fdcd589f6ef07c6b3

Observation 103fd063-f745-433e-9afb-fbdcc78250c9 · outbound

This paper cites Lectures on finite markov chains.

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games Lectures on finite markov chains

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:43.964256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T22:44:43.877002Z digest=sha256:aabeea6e2e1c8ac09257f71e52b63fdfdca7d0bef3e7a6d2a966038eaede287a

Pith citing papers

No inbound Pith citation observations are available.