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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.255003Z digest=sha256:0c41d80af885ebb57f1aed3ffd2b89799cd05eabb5145ac997cbef336f1e1cf8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.287331Z digest=sha256:221fe83e0aee02942d0c3bc450e8c9ce99949d3d7a61bd2d22d89238b7481199

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.348619Z digest=sha256:640e4a7e613235a1027f823d4d4bb3602116a357adb4eb9f8c083dba18466c09

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.412250Z digest=sha256:af407ff7d0f52503c97e6af3b4544b47562986000417936a631dc51d6071e406

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.448793Z digest=sha256:7d785c91e7ef0fca66ca69710c1dc808bc3747fb6729ab92b2e0b8af51ffbc65

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.587674Z digest=sha256:deeb6be2693f92a7b82398f8b0fefce7a54f4e14e9f5f1f1f432c7e1d8d3fb73

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.688356Z digest=sha256:444129730aecb9b6e8894a82912d16d216b7a911b96ec39e4eac6af1844b541c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.123991Z digest=sha256:443d4b94ae01447b5de104862f6cc0ac7bbc7f97cd9fb05c000311b0df71d593

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.981191Z digest=sha256:87d8cf05deca577aebde16a75f8ee3eb0222e5f67c616d9455a769791c7cad94

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.920900Z digest=sha256:50ba53692c64e4026b578b46dbe6dae534f4ab1ebde5b3c47e54f420c01ce3f7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.039109Z digest=sha256:2cb9bcd4d382d536a4ebc9490b068d323920ebd16933096f315153e6ed5ed6ed

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.833396Z digest=sha256:a11f6f2bcb4e457723ea60d5d717b0809684e07ef63ec6f2800d13a191ff2971

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.783328Z digest=sha256:4490cc17dd2bda3f855a4c099ac1350fb0395403ca5a96b825cb7f5eb9610d65

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.178823Z digest=sha256:40f31960a45313bec494ca7bb917156b4a08f00859c9288532cc521e06fd01a3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.234496Z digest=sha256:d5e3ef0d769cb406828478973e9d3383deb1b73339878bf619a34f1c3cec2fc1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.313441Z digest=sha256:ff5ec6cda99bb12087adaa5884c035d245c089b99e9c9a8f75707fb2a2e0b3aa

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.372327Z digest=sha256:e923cfd6ac2bc890a69fee08d1d509b8ad1a223504236c634d5b7c03daabc7bc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.422261Z digest=sha256:ce4dd5155603aef1fb7db86e8f72c07911ee5f0a4425f747b75507993f4072d4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.567572Z digest=sha256:119cebc4b19d0303ee8e6bd03a5fff3a0383df2131811dcb65b544920bca6018

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.606202Z digest=sha256:db32cabe189016ea270649bbf80915417604c1b109cebc0088522d9c1e642033

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.655403Z digest=sha256:39719cd8e635bb51d5d2fbd3c20324a3ca153ddc457236eab1d5f76f7e274342

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.722208Z digest=sha256:f620fa588062c0452a1149dc97f8ae3e762590cde7d9d0a5ded13e8942006798

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.756927Z digest=sha256:66ac53cd8d7f19730a3c59cfda5e9c8a9ba4c396214e30bc7ea47ec44a2c4575

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:35.515778Z digest=sha256:387c386f72477e72ff6386160691a0bcada38d9102e900a64771fb38df712702

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:05:36.490556Z digest=sha256:c955a7c88830338644469db50e5e28b6abaaffc61706dcd4f4d2f6e57d72abe3

Pith citing papers

No inbound Pith citation observations are available.