{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WLZOP6SLKPQJ2OUY45NX4IUDIY","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":"e4b302ecaad7e25f6fcfc0c3930e4445d165418dc0f5be2bccef1b98aa9cb9a6","cross_cats_sorted":["cs.GT","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-26T01:12:15Z","title_canon_sha256":"6b515a5b4380aa56c582390c5712c68ae3c991f122d60d1ef89f80f9ccd8c0a8"},"schema_version":"1.0","source":{"id":"1508.06269","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06269","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06269v3","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06269","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"WLZOP6SLKPQJ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WLZOP6SLKPQJ2OUY","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WLZOP6SL","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:14bfaef0477a2d2523859573ac7cbf031ef3f98cfd985be3d6b7565e90b69e19","target":"graph","created_at":"2026-05-18T00:20:49Z","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"},"paper":{"abstract_excerpt":"We consider finite-horizon and infinite-horizon versions of a dynamic game with $N$ selfish players who observe their types privately and take actions that are publicly observed. Players' types evolve as conditionally independent Markov processes, conditioned on their current actions. Their actions and types jointly determine their instantaneous rewards. In dynamic games with asymmetric information, a widely used concept of equilibrium is perfect Bayesian equilibrium (PBE), which consists of a strategy and belief pair that simultaneously satisfy sequential rationality and belief consistency. I","authors_text":"Abhinav Sinha, Achilleas Anastasopoulos, Deepanshu Vasal","cross_cats":["cs.GT","cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-26T01:12:15Z","title":"A systematic process for evaluating structured perfect Bayesian equilibria in dynamic games with asymmetric information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06269","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":"sha256:668f9c07edaacf70bdf2c455e8004b39750335d5490d23a4b73c5bf5fc3192e9","target":"record","created_at":"2026-05-18T00:20:49Z","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":"e4b302ecaad7e25f6fcfc0c3930e4445d165418dc0f5be2bccef1b98aa9cb9a6","cross_cats_sorted":["cs.GT","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-08-26T01:12:15Z","title_canon_sha256":"6b515a5b4380aa56c582390c5712c68ae3c991f122d60d1ef89f80f9ccd8c0a8"},"schema_version":"1.0","source":{"id":"1508.06269","kind":"arxiv","version":3}},"canonical_sha256":"b2f2e7fa4b53e09d3a98e75b7e228346044826b5e8ba23530a25b3dd14fa753e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2f2e7fa4b53e09d3a98e75b7e228346044826b5e8ba23530a25b3dd14fa753e","first_computed_at":"2026-05-18T00:20:49.508593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:49.508593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WPjB4hbL0uPElxFq2Ja3RAlezUENAMKZQmcVJ8r/cLPfwoBi5NlFlq/eq70KENFMtmjXhQwTKQw+QOZpGhpPCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:49.509104Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.06269","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:668f9c07edaacf70bdf2c455e8004b39750335d5490d23a4b73c5bf5fc3192e9","sha256:14bfaef0477a2d2523859573ac7cbf031ef3f98cfd985be3d6b7565e90b69e19"],"state_sha256":"5a840aa0564b1fa52eae6413026157e7c796f24733b81f7d14c3df14597bd57d"}