{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QPL26SLSU6ATEKUZRLHABKZUOF","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":"2b8f140e3205b181bd2d63a22a9dba4bdf7bc435c7085c7d0c37bdeacf27eb4e","cross_cats_sorted":["cs.GT","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-09-01T07:35:10Z","title_canon_sha256":"d58ee7348bdf9d26b19f4f5622a10ca3e30f8cdc54f5815e9f5fc0897dbc7d31"},"schema_version":"1.0","source":{"id":"2309.00307","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.00307","created_at":"2026-07-05T06:46:55Z"},{"alias_kind":"arxiv_version","alias_value":"2309.00307v1","created_at":"2026-07-05T06:46:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00307","created_at":"2026-07-05T06:46:55Z"},{"alias_kind":"pith_short_12","alias_value":"QPL26SLSU6AT","created_at":"2026-07-05T06:46:55Z"},{"alias_kind":"pith_short_16","alias_value":"QPL26SLSU6ATEKUZ","created_at":"2026-07-05T06:46:55Z"},{"alias_kind":"pith_short_8","alias_value":"QPL26SLS","created_at":"2026-07-05T06:46:55Z"}],"graph_snapshots":[{"event_id":"sha256:ecffa10e8721f44ce14b3c3da053cfbb1449d39ce95f4615964e723087eead84","target":"graph","created_at":"2026-07-05T06:46:55Z","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/2309.00307/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best respond to other agents' previous actions; we call this a best response scheme. We start by analyzing the convergence rate of this best response scheme for standard time-invariant games. Specifically, we provide a sufficient condition on the strong monotonicity parameter of the time-invariant games under which the proposed best response algorithm achieves ex","authors_text":"Karl H. Johansson, Michael M. Zavlanos, Yi Shen, Zifan Wang","cross_cats":["cs.GT","cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-09-01T07:35:10Z","title":"Convergence Analysis of the Best Response Algorithm for Time-Varying Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.00307","kind":"arxiv","version":1},"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":"sha256:047b17cc933f0a89756bfe2dc94c040ba3163434bbafe833457c665862642d5f","target":"record","created_at":"2026-07-05T06:46:55Z","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":"2b8f140e3205b181bd2d63a22a9dba4bdf7bc435c7085c7d0c37bdeacf27eb4e","cross_cats_sorted":["cs.GT","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-09-01T07:35:10Z","title_canon_sha256":"d58ee7348bdf9d26b19f4f5622a10ca3e30f8cdc54f5815e9f5fc0897dbc7d31"},"schema_version":"1.0","source":{"id":"2309.00307","kind":"arxiv","version":1}},"canonical_sha256":"83d7af4972a781322a998ace00ab3471539628d6f03a4f4580b6735f4c4af038","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83d7af4972a781322a998ace00ab3471539628d6f03a4f4580b6735f4c4af038","first_computed_at":"2026-07-05T06:46:55.266087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:55.266087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YMthpmYf/7ITGqBjmH6gVIi2XFRyWZ/QNW5+zwn1yo24j37wg60jwjGQ3SHKh7bwRHLf+I/VOdYrYPQ7a4KSBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:55.266570Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.00307","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:047b17cc933f0a89756bfe2dc94c040ba3163434bbafe833457c665862642d5f","sha256:ecffa10e8721f44ce14b3c3da053cfbb1449d39ce95f4615964e723087eead84"],"state_sha256":"451157d6b678ea8cddab319a968e19146a14e81c2308398e6d33644f39e16d03"}