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Paper Citation Record · LEDGER

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2505.22909.

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

pith.paper-citation-record.v1
2505.22909 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:05:36.756927Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 46f5e369-efb6-4507-a10f-81bc9458a18d · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:41.108688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.255003Z digest=sha256:4b374ebd539d147baac97ab1b86c118d5b2a7410be66d78d3a811c15446632f9

Observation 9b35ee29-3fca-4200-b283-2f2b30484dc2 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:40.815107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.287331Z digest=sha256:f76c2bf74385ec079fc9f28bf365baa0939d8a5f44e517a20eb15216dcf80b6f

Observation 316aecab-1529-44fd-91a3-ce6e79a0785a · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:40.540360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.348619Z digest=sha256:411b8f7a61c1d9df308b8bec445e314ce2cea594df5ac1f20bbae24c078c7b24

Observation 5b48df9a-81ad-48e0-8418-cb3e82b8ecd8 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:40.222482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.412250Z digest=sha256:09ea3b3461112bda3b9228ca70d1edd1d998a39e6f44005773c7ee70502b1238

Observation 6f6c80c4-9b91-4d02-8fc1-c04bf1032659 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:40.002749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.448793Z digest=sha256:b6b206744076b15023367272ba78e97506d3f4075a16f9413f98d0b15f844771

Observation ef446df9-a7c8-4c79-919b-7efa4e27e0db · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:39.458748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.587674Z digest=sha256:1cf053c64f80c6537627e487e6163f532194a03bc5e97fa03912e46fe72e2cd1

Observation 9e4af86f-0a7b-4296-97c3-b09f6baef103 · outbound

This paper cites Competition and Collusion in Two-Sided Markets with an Outside Option.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Competition and Collusion in Two-Sided Markets with an Outside Option

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:05:36.911383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.688356Z digest=sha256:58204cf59fd5292ff6203d3733c962d643010f96ae81cf0df441e8cbec260665

Observation 53db543d-adc8-4693-aaa0-f030902aa654 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:38.332947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.123991Z digest=sha256:4cc2fd662656c834d9e857fb178f047d67c7ec7207e27a400aac7b968c3603ca

Observation a9e691a2-1824-4456-9dcb-bcf545321132 · outbound

This paper cites and Tirole, J.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents and Tirole, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:05:38.593081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.981191Z digest=sha256:d345c36addad205588aca35e288ff3a897270b0e1e5c61a2bb68e0857ee5a9a7

Observation 2ec574ca-c4f2-48d3-bc12-b3e9402c0ba6 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:38.761957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.920900Z digest=sha256:ccc3fcbda2b1568fd0dd4bf0aa21af9749c5589d887fd1860bb308620ab58eb8

Observation a0958edc-6967-4569-98db-e3d70515fd99 · outbound

This paper cites and Wellman, M.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents and Wellman, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:05:38.494500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.039109Z digest=sha256:27b1b80e7434566af1c7a4353ab89cdd9243478e19a758fc27f7771c88e3bbbd

Observation a86adbc9-5ead-458d-899b-1e6897ce9f99 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:38.972495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.833396Z digest=sha256:88139eef6a776e028f703d78cfb0d82dccd4553c14a312ef8f69f6da34c7c8f7

Observation d8b23232-7c8b-473e-86ea-acc42f5068b5 · outbound

This paper cites Artificial Intelligence and Algorithmic Price Collusion in Two-sided Markets.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Artificial Intelligence and Algorithmic Price Collusion in Two-sided Markets

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T13:05:35.638153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:05:35.638153Z digest=sha256:11f5c2e48f6f1ce94e43a82c9da12e648501f775ea2f6bf63bae04eef16f5e46

Observation f5dacb25-309a-42da-9b21-fdfc25bd6bbc · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:39.264155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.783328Z digest=sha256:7a7368dd1d99e79fc7b1db141cd59ef4ef31688e6d06e2d2b4815fe5914a4b84

Observation 1346953b-74a8-43a2-b5a4-cf1baa38e47b · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:38.230879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.178823Z digest=sha256:68a33a443ec3c100df61a6900ff33e0b53bda4b8e12916519bba8c5e48df4095

Observation c2516117-1fd4-46fe-9a18-179cdaeefe92 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:38.093546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.234496Z digest=sha256:b875d3b97eb752c19159f6427cc9e72bbe59f4277ed4d1abc089c20f1fcf040e

Observation e4225adc-dcd1-4c1a-928a-f34bb4d58b73 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:37.962807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.313441Z digest=sha256:d4ab8c11e2beca44236981d868b6a2b6658633d9a3b7d115b41e2eb5c9e1724a

Observation 5c20d77f-a856-4b8d-96a9-3724cb5cdd29 · outbound

This paper cites Algorithms and collusion: Competition policy in the digital age.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Algorithms and collusion: Competition policy in the digital age

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:05:37.854625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.372327Z digest=sha256:83979eb5ba21f913e6590c7aae6bdde015ae25332111a79e7b296810b5b67a7f

Observation 842d3a60-1475-430d-9faf-71ecd1576e30 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:37.715709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.422261Z digest=sha256:fef1cb082e23b64bba15b5ba2f1a1a6747c2511e14b9eed396fbd06ff7778176

Observation 51d00f64-2f06-4e46-b4d7-1269d32fa119 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:37.510889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.567572Z digest=sha256:899375008ddea747637391b1bf54578390c65e8a2b4fd91b8211f003b6e5669d

Observation 54ba9958-2676-42e9-acbe-4832a62f9b8b · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:37.371793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.606202Z digest=sha256:d6dbdb843067fbb76a29bcfcde7443c161b80f8931c5e6b48fe113631a79d173

Observation f208636d-2da0-4c57-ad52-a1de0ac1839b · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:37.270399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.655403Z digest=sha256:110d70373e881bee113481df24a3ca51e06a661c8cec699abf9d72ebccbc3cb7

Observation 85aca463-d4ff-413d-8f21-7aa733c2eb96 · outbound

This paper cites and Kaymak, U.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents and Kaymak, U

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:05:37.143039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.722208Z digest=sha256:384a408c0c464277aa8715bc06de7c93e686ba74e5cb0a01b928f5a127eef5a0

Observation 65925aa2-bceb-4dd2-a85f-4b60b27b7384 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:37.045575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.756927Z digest=sha256:f251239bc39c74083644740f163f227698c33f9f9168914c12afc3fe59e5156f

Observation b10af01d-db11-467e-9a1b-c6657c4fa97a · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:39.751132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:35.515778Z digest=sha256:b52c7f71d90c9cf82db7fb2e17fc7e1f2a3590a1421df5404939a7d9d501e241

Observation 45ba10f1-e38d-45f2-b1f3-3507940f6412 · outbound

This paper cites an unresolved cited work.

Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:05:37.617205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:05:36.490556Z digest=sha256:96b5589db9ffa8895250666752b4059c60913e53c7bc88c63698a42e7ce59414

Pith citing papers

No inbound Pith citation observations are available.