{"as_of":"2026-08-19T15:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8ab42008e96c0d5ac99108877f104ed9a5f4e42d655736684b7b8e16d63d868f","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:28:51.133614Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.15454/citation-record","integrity":"/paper/2505.15454/integrity","json":"/paper/2505.15454/citation-record.json","paper":"/paper/2505.15454"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:58.451861Z","title":"On last-iterate convergence beyond zero-sum games","venue":null,"work_id":"7441a227-d3b2-4b69-a03a-5a08b552e9f3","year":2022},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:48.383483Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:1b5e28539294a7c9e5b4e044b2ffaddbe189d866981530aa43cc31f569f1f169","observation_id":"89a6f3cc-a8a6-4867-8b62-8542416265d1","resolution":{"observed_at":"2026-08-07T15:28:58.618491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:58.161723Z","title":"Decomposition of games: some strategic considerations","venue":null,"work_id":"05948a87-116b-4249-9a0c-9fcd016a33ab","year":2022},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:48.433267Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:eac1e0422a110b2ccca7e870e51cdb38de9fc729f1390c696967364bc6a85c6a","observation_id":"dd2e3fe2-d533-4858-81c2-032ebb404784","resolution":{"observed_at":"2026-08-07T15:28:58.281532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:57.773925Z","title":"Flows and decompositions of games: Harmonic and potential games","venue":null,"work_id":"0af1a23a-e2e0-4c19-a9a3-4ccef4a09ab9","year":2011},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:48.493721Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:07c97256351d94ef880e77b4783670c7502cc71091c4a683f5c62fce438dbfba","observation_id":"c27afcb5-fda6-4f45-ad19-bf50fb335889","resolution":{"observed_at":"2026-08-07T15:28:57.951072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:57.505206Z","title":"A payoff-based learning procedure and its application to traffic games","venue":null,"work_id":"db31e681-2688-4a82-bc56-142923c7583a","year":2010},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:48.633624Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:55f074870ccf1b8011e5c9ad07ba13045ce4e5993a2b69a4c860b3bd9c99f5fb","observation_id":"c8d14c0a-8a8f-4424-a16b-560ffd6d4f29","resolution":{"observed_at":"2026-08-07T15:28:57.645142Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:57.195795Z","title":"Hedging in games: Faster convergence of external and swap regrets","venue":null,"work_id":"8465f9f7-e5d9-4298-954a-d8a0b8aac1ee","year":2020},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:48.753082Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:2195b1ae53e8867913aa15b613315a06b3919a039e8ecc474f506760b1797a64","observation_id":"923cd5c5-b496-4d69-9cfe-85112d319945","resolution":{"observed_at":"2026-08-07T15:28:57.330835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:56.942029Z","title":"Near-optimal no-regret algorithms for zero-sum games","venue":null,"work_id":"9aca9714-d29c-4d81-bf1a-37e255eb5514","year":2011},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:48.845053Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:5fc25e02e77011a4f20e25e2fc7e264b634341e154a4f6f3530888faa267fb82","observation_id":"9537b8f7-28d9-4b9b-a878-e848ac990e70","resolution":{"observed_at":"2026-08-07T15:28:57.057812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:56.677087Z","title":"Independent policy gradient methods for competitive reinforcement learning","venue":null,"work_id":"bb52db98-2839-4c0b-a98a-124179e4ba1a","year":2020},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:48.941116Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:7168b01596e3dfefcdee8392497152df964383baa4ee2209418ea4e4d42246a6","observation_id":"e4260014-3ce3-453d-abb3-b58323bc3d5a","resolution":{"observed_at":"2026-08-07T15:28:56.823392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:49.008761Z","title":"The complexity of computing a nash equilibrium","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.008761Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:161cbe6fa818adf99ddb81b41e7bfd8372519cd0e9ffeaeff4a7ad0b6d9bd2e8","observation_id":"370d5f7e-1703-4958-884e-9e06462b8ed9","resolution":{"observed_at":"2026-08-07T15:28:49.008761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:56.387671Z","title":"Last-iterate convergence: Zero-sum games and constrained min-max optimization","venue":null,"work_id":"8461e647-bce2-479f-8b60-6bd543794cd8","year":2019},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.086699Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:035728ac46a8112e9d7e01bf87be1b0939260599aafe6086511de39a26cc4801","observation_id":"3119e4c6-022c-4618-b882-3c095600318d","resolution":{"observed_at":"2026-08-07T15:28:56.496807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:56.120899Z","title":"Convergence to nash equilibrium and no-regret guarantee in (markov) potential games","venue":null,"work_id":"3434a4ea-8e16-407c-b61e-ab45ef019d56","year":2024},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.151908Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:17abd10d7447a6df6095bed6cc3fb47a8d44b3391b1a65f2d76a693ebb82e77f","observation_id":"95950d46-00db-4c47-b297-7954fe0bce5a","resolution":{"observed_at":"2026-08-07T15:28:56.243091Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:55.824655Z","title":"Adaptive learning in continuous games: O ptimal regret bounds and convergence to N ash equilibrium","venue":null,"work_id":"95284319-3874-4e27-8589-122f6a97ae3b","year":2021},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.239617Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:ae8e3951f0ee13dcb11128d33dc2268f8072997f1b14c57ff8951ee0c4edbf15","observation_id":"eb102225-ba48-42e5-9ffe-9732a2436ec2","resolution":{"observed_at":"2026-08-07T15:28:55.962469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:55.576512Z","title":"Learning with bandit feedback in potential games","venue":null,"work_id":"b3adb456-e79f-4b40-ad39-32d29d097d97","year":2017},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.359909Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:793f9e41bb0388ee1c18e00646bef19b72ec6fd15c6dbc2e0dd481546fe15c90","observation_id":"6577085a-be36-47f9-a83d-53628e9d9460","resolution":{"observed_at":"2026-08-07T15:28:55.693419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:55.267180Z","title":"Differentiable game mechanics","venue":null,"work_id":"1d71fff5-09c5-4f49-8071-40c496d098fc","year":2019},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.494759Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:f983850a7189a1176f2f9cef2280a8ce4068941164e683a90bcd4138f15c926a","observation_id":"d3546fdb-62cd-4ec0-a04b-6bf30c86288e","resolution":{"observed_at":"2026-08-07T15:28:55.406092Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:54.947903Z","title":"No-regret learning in harmonic games: Extrapolation in the face of conflicting interests","venue":null,"work_id":"0bbc7b35-2f28-4036-bbd3-55972f764907","year":2024},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.598949Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:ffa90799fdee5896404901710c641e7f8e13150f0273c2bf648061acd62154bf","observation_id":"41b28e29-a7a4-42cf-a29d-66c2bf6d99d7","resolution":{"observed_at":"2026-08-07T15:28:55.095430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:54.615225Z","title":"A geometric decomposition of finite games: Convergence vs","venue":null,"work_id":"cde07db8-3feb-4106-b47b-702aaaee932c","year":2024},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.738000Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:18cf183cecbb69b23b7b58f39cf8d874b128d7c7385938bef1954a25eb5b38a8","observation_id":"1bf5d137-1ba6-4312-b46d-439c439a897a","resolution":{"observed_at":"2026-08-07T15:28:54.790309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:54.323937Z","title":"Global convergence of multi-agent policy gradient in M arkov potential games","venue":null,"work_id":"7a57547c-bedc-4df2-8d49-183a8fce0687","year":2022},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:49.898233Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:4026f9943c5e2bf3acc8359732b11917e9e670f4fd7d761af3c04595e64d1794","observation_id":"9d41d24b-2a75-4fdf-a6f0-62b093f05120","resolution":{"observed_at":"2026-08-07T15:28:54.464068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:54.022718Z","title":"Global convergence of multi-agent policy gradient in markov potential games","venue":null,"work_id":"a62ae6f3-ad0a-48ff-9918-2eb6f1e5a079","year":2022},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.038011Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:8f3bc7943089fa02d4c99479c4047827b619be50c1e3affcd6f0710ac02ec9f4","observation_id":"ed615b99-be4f-43de-b784-e3f750654d86","resolution":{"observed_at":"2026-08-07T15:28:54.172509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:53.704868Z","title":"Optimistic mirror descent in saddle-point problems: Going the extra (gradient) mile","venue":null,"work_id":"a8d6080e-fdfd-4531-9077-1ff0d650f59a","year":2019},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.166200Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:cda1fbea31b74c03b08148c74dff5c067a82e6ab0aefeb80b7a9e31632843062","observation_id":"4f4f1236-98f0-4e8a-9e90-9aa058a6a279","resolution":{"observed_at":"2026-08-07T15:28:53.823303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:53.454404Z","title":"Potential games","venue":null,"work_id":"972d20c3-4c8b-4a39-b683-89a83fa4d3a8","year":1996},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.308996Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:a0499c3edffd684fbf5ad7b25420d870f3a0ed282d2b8f7bcd72527c81702f73","observation_id":"8c4fd7c5-c3d5-4ebc-9ec6-aa7193aa4074","resolution":{"observed_at":"2026-08-07T15:28:53.590777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:53.159229Z","title":"Multiplicative weights update with constant step-size in congestion games: C onvergence, limit cycles and chaos","venue":null,"work_id":"6260536d-42ae-4cf1-b035-f8383ed22050","year":2017},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.471932Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:1a5e69ca87ae9071b5aecc851c0975c45c9acea16bb54d510285baa0c2665508","observation_id":"15d828d3-0506-463a-91b5-583ec21665fa","resolution":{"observed_at":"2026-08-07T15:28:53.320480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:52.844758Z","title":"Online learning with predictable sequences","venue":null,"work_id":"5e343c30-7499-4d11-9436-6a852470169c","year":2013},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.613342Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:30973b527fb1f071326e32a07f48278c33b6bf966d756a249dd7987be0ca6e47","observation_id":"7af72d0d-0dfd-45e4-84d5-09e1c811016a","resolution":{"observed_at":"2026-08-07T15:28:52.978522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:52.500538Z","title":"Fast convergence of regularized learning in games","venue":null,"work_id":"faf342b0-f033-4aec-8db7-55bc646cc5d8","year":2015},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.697343Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:1466c96524b43eb59e980a8ce8b8a2d34d85096ea06624d55ed55eb73ee16ad5","observation_id":"024b8a8b-bb7e-47dc-bf8f-ecc65c9e1aef","resolution":{"observed_at":"2026-08-07T15:28:52.658255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07120","last_updated":"2025-02-16T19:18:39Z","snapshot_observed_at":"2026-08-15T11:06:18.184638Z","submitted_at":"2024-12-10T02:23:44Z","title":"Corrupted Learning Dynamics in Games","version":2},"cited_work":{"arxiv_id":"2412.07120","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.07120","snapshot_observed_at":"2026-08-07T15:28:51.332886Z","title":"Corrupted Learning Dynamics in Games","venue":"cs.GT","work_id":"318f3e08-f706-4e48-99e6-629a6e358023","year":2024},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.780406Z"},"links":{"cited_paper":"/paper/2412.07120","citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:7c56cab6a7801a45997b94ffea14f576a2056288486f69593b4da8564d541a56","observation_id":"d158c1b7-9621-4ec8-a8eb-6cd808474cdd","resolution":{"observed_at":"2026-08-07T15:28:51.439271Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:52.123383Z","title":"Linear last-iterate convergence in constrained saddle-point optimization","venue":null,"work_id":"8f6348f6-287f-4ec3-9596-93d8d1616fba","year":2020},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.866326Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:591dc465d80c23f865c858753908af4bfefe2d50bd95f594d91f35727117d226","observation_id":"9451a399-cb9b-4e8c-8fc0-5036b55f78d1","resolution":{"observed_at":"2026-08-07T15:28:52.302291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:51.866813Z","title":"Last-iterate convergence of decentralized optimistic gradient descent/ascent in infinite-horizon competitive markov games","venue":null,"work_id":"b663bcec-9340-44ba-b11c-bad37b58cc75","year":2021},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:50.979194Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:cd4e4319e0ffe68bcc8074f2197c3503a391c605107f81fad1fa4e974bb2fb95","observation_id":"a957e683-2b3d-4842-9abe-177436a322ce","resolution":{"observed_at":"2026-08-07T15:28:51.987616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:28:51.566170Z","title":"o(t^ -1 )) convergence of optimistic-follow-the-regularized-leader in two-player zero-sum markov games","venue":null,"work_id":"95f60d80-1aef-498b-83c3-1991d55ca2fa","year":2022},"citing_paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T15:28:51.133614Z"},"links":{"citing_paper":"/paper/2505.15454"},"observation_digest":"sha256:8e66166e05785b9aeb2a16e874ca285bd371be2c8d1c1061fb8dceb32259ce1e","observation_id":"016f3a5d-ace0-4571-9bcd-ff007a41257d","resolution":{"observed_at":"2026-08-07T15:28:51.687927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.15454","last_updated":"2025-05-21T12:37:16Z","latest_version":1,"primary_category":"cs.GT","snapshot_observed_at":"2026-08-12T16:00:53.982013Z","submitted_at":"2025-05-21T12:37:16Z","title":"Pointwise Convergence in Games with Conflicting Interest"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":24},"total_outbound_references":26},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2505.15454."}