Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:29:02.323095Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2504.20774.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:29:02.323095Z
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
50 of 50 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c4305bdb-76ef-4ff6-bf86-56bc4c621b60 · outbound
On the Effect of Time Preferences on the Price of Anarchy Journal of Economic Theory156, 269–316 (2015)
Reference 1
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 2341f6cb-1d32-4e27-8b97-320635d8cb67 · outbound
On the Effect of Time Preferences on the Price of Anarchy In: 2013 American Control Conference
Reference 2
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 a005c099-bb33-4176-aaa1-6650384fb310 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 3
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 5bb97675-4195-49a8-bf07-078457efa82d · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 4
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 fbd7daed-6c70-4b1a-9d84-646bd0ad72fa · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 5
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 012dad35-a6ae-489a-938c-7f865fd4dc9f · outbound
On the Effect of Time Preferences on the Price of Anarchy In: AAMAS ’23: Proceedings of the 20th International Conference on Autonomous Agents and MultiAgent Systems (2023)
Reference 6
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 1e51163c-6f05-41b7-9489-55e77384aef0 · outbound
On the Effect of Time Preferences on the Price of Anarchy In: Albers, S., Radzik, T
Reference 7
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 bfe56e9b-6172-4156-bf33-b10faac7ed19 · outbound
On the Effect of Time Preferences on the Price of Anarchy SSRN (2013)
Reference 8
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 6bf4d7e2-1d2d-447a-a297-5ccb0ab35f26 · outbound
On the Effect of Time Preferences on the Price of Anarchy Math- ematics of Operations Research48(2), 656–686 (2023)
Reference 9
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 c2f3da83-8303-4e16-994e-56f9cf229516 · outbound
On the Effect of Time Preferences on the Price of Anarchy NeuroImage150, 336–343 (2017)
Reference 10
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 9a297853-553b-42ed-9540-f11d12974482 · outbound
On the Effect of Time Preferences on the Price of Anarchy Journal of Economic Theory 144(4), 1665–1693.e4 (2009)
Reference 11
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 62fe0f31-9574-4adb-8556-2596ed624d27 · outbound
On the Effect of Time Preferences on the Price of Anarchy Econometrica60(5), 1127–1150 (1992)
Reference 12
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 fc86a262-ea49-44a8-bbea-134c2331643a · outbound
On the Effect of Time Preferences on the Price of Anarchy Communications in Information & Systems6(3), 221–252 (2006)
Reference 13
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 08edc239-0295-420a-8560-8f4a3afdc258 · outbound
On the Effect of Time Preferences on the Price of Anarchy Journal of Mathematical Eco- nomics 17(1), 77 – 87 (1988)
Reference 14
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 f92f403f-5940-46e5-ba8c-21b4a57bf968 · outbound
On the Effect of Time Preferences on the Price of Anarchy Queueing Sys- tems 4(1), 69–76 (1989).https://doi.org/10.1007/BF01150857, https://doi.org/10.1007/ BF01150857
Reference 15
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 dc5f9991-4a45-46b9-a276-50da9c1733ee · outbound
On the Effect of Time Preferences on the Price of Anarchy Theory of Computing Systems 49(1), 71–97 (2011)
Reference 16
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 42c20536-2feb-4b45-8fa5-0f07a18994b0 · outbound
On the Effect of Time Preferences on the Price of Anarchy Japanese Journal of Mathematics2(1), 229–260 (2007)
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 966bc248-2a17-4328-9147-3274b21d3512 · outbound
On the Effect of Time Preferences on the Price of Anarchy Springer New York, NY (1996)
Reference 18
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 f78cfb81-5631-4402-b541-4f9a669f7973 · outbound
On the Effect of Time Preferences on the Price of Anarchy Dynamic Games and Applications10(4), 845 – 871 (2020)
Reference 19
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 65e5669e-5664-41f1-b9ad-2d8d5c566346 · outbound
On the Effect of Time Preferences on the Price of Anarchy Palgrave Macmillan (2013)
Reference 20
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 e0658b9a-fad5-4c1b-99ac-70f04833f123 · outbound
On the Effect of Time Preferences on the Price of Anarchy hyper- bolic
Reference 21
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 8ffb1930-d25d-4895-84c6-ee012a2dfbc1 · outbound
On the Effect of Time Preferences on the Price of Anarchy 18 (Routing Games)
Reference 22
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 ea3eb474-2c16-4e7c-9ec6-bfa90c1155dc · outbound
On the Effect of Time Preferences on the Price of Anarchy ACM49(2), 236–259 (Mar 2002)
Reference 23
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 33e44c10-e127-4455-97e8-6e2b814cd93c · outbound
On the Effect of Time Preferences on the Price of Anarchy The MIT Press (2010)
Reference 24
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 d0ab6818-79b1-40a9-a77a-946e93a2f39b · outbound
On the Effect of Time Preferences on the Price of Anarchy In: Zhou, Z
Reference 25
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 2cee1be6-8ad8-4877-8e71-55f6c67c51f4 · outbound
On the Effect of Time Preferences on the Price of Anarchy ∞X k=1 rake−β Pk j=1τaj (µ) # = nX i=1 σ1(i) rie−βτi(µ) + Eσ
Reference 26
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 7b295e7e-733d-415f-8149-41f5cccef2c3 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 28
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 5f8179e0-0a79-4a39-95c0-805c0f5d0e4b · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 29
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 a124b5a8-10aa-4bf5-bd47-c7164641515d · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 30
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 e7e4d5f1-f7fe-40d0-a178-51218ecb0bd7 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 31
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 1f61b9ad-d615-4986-9010-052b1dae6893 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 32
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 8f71284c-b27c-4782-81d4-f7e33fe7f3f0 · outbound
On the Effect of Time Preferences on the Price of Anarchy Hence, (a) is true
Reference 33
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 5391a0cd-7252-4c18-92bd-72e286455732 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 34
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 6a039363-acdf-4a91-b457-87c1bc8b2388 · outbound
On the Effect of Time Preferences on the Price of Anarchy Hence, (b) is true
Reference 35
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 03ffbe01-1852-4588-a6f9-d1008bd89a43 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 36
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 674a2419-80da-4c65-92c1-8e23f87229e9 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 37
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 2cfdcbe0-27b4-40d0-9092-d104ce216848 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 38
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 920a39d3-df1f-4cfc-bd6e-9f600b9d3207 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 39
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 2f6676f6-146c-4782-8900-7564add4b222 · outbound
On the Effect of Time Preferences on the Price of Anarchy ¯g(µ1) is indeed decreasing inµ1 in a small neighborhood ofµ†
Reference 40
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 870d3e3f-ede1-41cb-9c37-7739fb415d72 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 41
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 c926bdfe-b359-4b48-90a3-2f5e7495c6ff · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 42
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 2f61fa33-32a2-492d-b903-7bf64f801659 · outbound
On the Effect of Time Preferences on the Price of Anarchy We have shown that (a) and (b) are always true
Reference 43
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 1c77554a-260d-4553-9d14-5c7b0d476f93 · outbound
On the Effect of Time Preferences on the Price of Anarchy (48) Now we can choose(r1,r 2)∈ R2 + such that r1 eβτ1(µ† 1)− 1 = r2 eβτ2(µ† 1)− 1
Reference 44
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 5b7cfbf9-cd5a-46fd-867e-e24f6bf5f4a6 · outbound
On the Effect of Time Preferences on the Price of Anarchy To proveµ† 1 is unstable, we only need to showgβ(µ1) is strictly increasing inµ1 in a small neighborhood ofµ†
Reference 45
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 92ff15a8-fe7e-486a-b8cf-b740395caf59 · outbound
On the Effect of Time Preferences on the Price of Anarchy Ifµ1 > µ† 1 and µ1 is close enough toµ† 1, gβ(µ1) > gβ(µ†
Reference 46
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 43a052f5-3045-433b-91d4-21d1d2931b8f · outbound
On the Effect of Time Preferences on the Price of Anarchy Ifµ1 <µ† 1 and µ1 is close enough to µ† 1, gβ(µ1) < gβ(µ†
Reference 47
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 5acd01d3-48cc-4fe6-8106-2aa4e4250a31 · outbound
On the Effect of Time Preferences on the Price of Anarchy It suffices to prove that∂gβ ∂µ1 (µ† 1)> 0
Reference 48
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 7c6252c5-b7c6-4be9-8e84-450b7ba80568 · outbound
On the Effect of Time Preferences on the Price of Anarchy Unresolved cited work
Reference 49
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 66851ee6-f0fe-4306-b6cb-32dc87977e4f · outbound
On the Effect of Time Preferences on the Price of Anarchy Therefore, µ† 1 is an unstable equilibrium ofFβ
Reference 50
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 e2c26a71-9f81-4c5c-9f0f-41cf6566e29e · outbound
On the Effect of Time Preferences on the Price of Anarchy Li et al
Reference 3124
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.
No inbound Pith citation observations are available.