Pith. sign in

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=sha256:940585ebe1b2dcd916ee9600254096e21242e7de63e03874ad2d68d2277a57e7

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=sha256:394453e641513a975d05390c82c9c2e26f90d451d616627021c55cf71603995f

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:f2653295691af6ca348a5de9bbf085cc510a8baec30dd00498743acbc289653b

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=sha256:62596398685a321e557ec6760198924c46d84a9a72ed9072b2515a92c24f0627

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=sha256:4e63db8e172b9195a43520340e2c37f77979ccbe589ca0169c50b62a026f8243

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=sha256:88c9b3adfa5dbb0b4523a8fa4dc188625d5bddb05fea65110bb83f52db26b5a4

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=sha256:3b3d8b71ca78f226bef9b50fbf9a6654eb7296f8ae099db71af88491b50927f5

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=sha256:9939c261d00344972a88d4833dd053fab44a7718300c9553700085329f1a2df8

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:cbf3329704a39fd43f99d2138d7efecf5f94236cd7042d30720c10466181e9cb

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=sha256:2a13abd829b8e79651818560774b4843029d499a729031b61c7d9ad743e4a737

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=sha256:039a7bac34c0b83a416a927379861db90ee43ba6b309028e469ac966c878c68a

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=sha256:58d875aaf56c4878e79250d4b7c413ee6520e30dfdebaaf8a737278fe0250e03

Pith citing papers

No inbound Pith citation observations are available.