{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:GQD6N6SLRJNLBMVSNNDXCUADCJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"785b383351eb207129ddf39bd945b381e88c4948ddc7a372c043f4d411932ccf","cross_cats_sorted":["cs.GT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-10-03T17:58:53Z","title_canon_sha256":"cc03afe4ca1179dd7c42537906ed9ba7431fd1e13cfaa3d41209ce03c092bb84"},"schema_version":"1.0","source":{"id":"2310.02259","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.02259","created_at":"2026-07-05T09:03:48Z"},{"alias_kind":"arxiv_version","alias_value":"2310.02259v3","created_at":"2026-07-05T09:03:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.02259","created_at":"2026-07-05T09:03:48Z"},{"alias_kind":"pith_short_12","alias_value":"GQD6N6SLRJNL","created_at":"2026-07-05T09:03:48Z"},{"alias_kind":"pith_short_16","alias_value":"GQD6N6SLRJNLBMVS","created_at":"2026-07-05T09:03:48Z"},{"alias_kind":"pith_short_8","alias_value":"GQD6N6SL","created_at":"2026-07-05T09:03:48Z"}],"graph_snapshots":[{"event_id":"sha256:9456075b6a18191fbf2a46e1f88b0f7bc93d20ea126f23a14372c2e08dd3a635","target":"graph","created_at":"2026-07-05T09:03:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.02259/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Potential game is an emerging notion and framework for studying N-player games, especially with heterogeneous players. In this paper, we build an analytical framework for dynamic potential games. We prove that a game is a dynamic potential game if and only if each player's value function can be decomposed as a potential function and a residual term which is solely dependent on other players' policies. This decomposition is consistent with the result in the static setting and enables us to identify and analyze an important and new class of dynamic potential games called the distributed game. Mo","authors_text":"Xin Guo, Yufei Zhang","cross_cats":["cs.GT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-10-03T17:58:53Z","title":"Towards An Analytical Framework for Dynamic Potential Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.02259","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2f8ee3ffd44fb30362bd404d940177f0d55b321fe27e7d5531864d84127bd799","target":"record","created_at":"2026-07-05T09:03:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"785b383351eb207129ddf39bd945b381e88c4948ddc7a372c043f4d411932ccf","cross_cats_sorted":["cs.GT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-10-03T17:58:53Z","title_canon_sha256":"cc03afe4ca1179dd7c42537906ed9ba7431fd1e13cfaa3d41209ce03c092bb84"},"schema_version":"1.0","source":{"id":"2310.02259","kind":"arxiv","version":3}},"canonical_sha256":"3407e6fa4b8a5ab0b2b26b477150031252a87ad072f6519d9f17c7b4da66ebcb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3407e6fa4b8a5ab0b2b26b477150031252a87ad072f6519d9f17c7b4da66ebcb","first_computed_at":"2026-07-05T09:03:48.054708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:03:48.054708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/bTwK2GgouOqkS1wqERqDRY6GTNzWneHmz5M/XEmm5VWlAbATYTeDQUUtIFW31H5OrnAjCpD2BLOezigsZ9nDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:03:48.055219Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.02259","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f8ee3ffd44fb30362bd404d940177f0d55b321fe27e7d5531864d84127bd799","sha256:9456075b6a18191fbf2a46e1f88b0f7bc93d20ea126f23a14372c2e08dd3a635"],"state_sha256":"d110d538e9797bfbe8a94b6bf857df6e8820d76bdbb69060bf8d2397c1f9e646"}