Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:51:57.016492Z
Paper Citation Record · LEDGER
Price equilibria with positive margins in loyal-strategic markets with discrete prices
As of 20 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.17239.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
25 of 25 outbound references displayed
- verified exact2
- verified fuzzy17
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation deec3c01-24a0-4a06-bdf0-63ea510e38af · outbound
This paper cites an unresolved cited work.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Unresolved cited work
Reference 1
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T10:51:57.176921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c0309d07-4585-4029-bd21-483c8c8ab2fb · outbound
This paper cites Partition-form Cooperative Games in Two-Echelon Supply Chains.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Partition-form Cooperative Games in Two-Echelon Supply Chains
Reference 2
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T10:51:57.084100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e519f75d-2b32-40f7-bf34-76bf79521fc1 · outbound
This paper cites and Guillén, J., 2025.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Guillén, J., 2025
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.492689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e4089276-57dd-44ab-b524-e544707d7bd0 · outbound
This paper cites Beckmann’s Bertrand–Edgeworth Duopoly Model: New Pure Strategy Equilibria.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Beckmann’s Bertrand–Edgeworth Duopoly Model: New Pure Strategy Equilibria
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.477483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dccd8909-97fa-4aa7-9ed2-fa584e0d950a · outbound
This paper cites and Tirole, J., 1988.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Tirole, J., 1988
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.462274Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 69422c5c-6365-4265-be5f-9af3354a4c5c · outbound
This paper cites and Lev, B., 2021.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Lev, B., 2021
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.447848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4d1f4298-b6c9-408e-bdcb-5648150d0d3d · outbound
This paper cites and Cheng, T.E., 2023.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Cheng, T.E., 2023
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.433602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a4e60b73-93f2-4a0e-962d-473630bd294a · outbound
This paper cites Balancing rationality and social influence: Alpha-rational Nash equilibrium in games with herding.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Balancing rationality and social influence: Alpha-rational Nash equilibrium in games with herding
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T10:51:57.062645Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4125d7df-7dbc-44b7-8c21-df08a97f644f · outbound
This paper cites Brand loyalty in a Bertrand-type oligopoly setting.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Brand loyalty in a Bertrand-type oligopoly setting
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.418467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ce8afa7d-b56f-4dde-9ac1-8b8cb01fdfff · outbound
This paper cites Dynamic duopoly with incomplete customer loyalties.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Dynamic duopoly with incomplete customer loyalties
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.403816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 00b80be6-584f-4476-a3b5-66d3dc81ef6d · outbound
This paper cites The strategy of conflict.
Price equilibria with positive margins in loyal-strategic markets with discrete prices The strategy of conflict
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.388275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec9cfa0a-a5b6-4d8f-9fa5-e16b5cc7e17c · outbound
This paper cites an unresolved cited work.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:51:57.373466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fec92ff8-5a16-4c7a-939b-772b594c2f56 · outbound
This paper cites and Guillén, J., 2025.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Guillén, J., 2025
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.358056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a1a00146-9d3f-4d2f-8000-12233beaae3e · outbound
This paper cites Beckmann’s Bertrand–Edgeworth Duopoly Model: New Pure Strategy Equilibria.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Beckmann’s Bertrand–Edgeworth Duopoly Model: New Pure Strategy Equilibria
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.342440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d4728252-2c02-42b2-9ea0-f58058bfb59b · outbound
This paper cites and Tirole, J., 1988.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Tirole, J., 1988
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.326634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 026c01a6-48c2-4445-9e75-b0d585585bc0 · outbound
This paper cites and Lev, B., 2021.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Lev, B., 2021
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.310330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5897618b-e87e-476d-b7f6-5b9e9bbb795c · outbound
This paper cites and Cheng, T.E., 2023.
Price equilibria with positive margins in loyal-strategic markets with discrete prices and Cheng, T.E., 2023
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.295067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 956a5366-76b8-4744-b4a8-499e7b2cd0a1 · outbound
This paper cites Brand loyalty in a Bertrand-type oligopoly setting.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Brand loyalty in a Bertrand-type oligopoly setting
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.279609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0835b83d-46f0-404c-a202-8cbadf10d4c2 · outbound
This paper cites Dynamic duopoly with incomplete customer loyalties.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Dynamic duopoly with incomplete customer loyalties
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.264374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0a9dc47e-62b2-4724-ae9a-0c1aca5a4c1d · outbound
This paper cites The strategy of conflict.
Price equilibria with positive margins in loyal-strategic markets with discrete prices The strategy of conflict
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.249994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8ae98462-f6a3-429e-9dc0-65316332daaa · outbound
This paper cites an unresolved cited work.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Unresolved cited work
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:51:56.997414Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e5186c3-dd74-470f-9655-88388877e6f8 · outbound
This paper cites write newline.
Price equilibria with positive margins in loyal-strategic markets with discrete prices write newline
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:51:57.001950Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 881f8221-a658-4deb-b8d9-b5117cc675a9 · outbound
This paper cites write newline.
Price equilibria with positive margins in loyal-strategic markets with discrete prices write newline
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:51:57.006822Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6f40329-9138-4b87-9478-77111b20bcb8 · outbound
This paper cites write newline.
Price equilibria with positive margins in loyal-strategic markets with discrete prices write newline
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:51:57.011653Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f9e4b86-62dc-4dab-9815-4e8a3de6b2b7 · outbound
This paper cites Merlin.mbs v4.21 2009-07-09.
Price equilibria with positive margins in loyal-strategic markets with discrete prices Merlin.mbs v4.21 2009-07-09
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:51:57.192515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.