{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QC2PLPTQHOATDCESDBNC6E3TA7","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":"828c7200e187fe18d4e983a0158d5ac826719277fcf7495338693bcf54f5ce90","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-28T02:27:07Z","title_canon_sha256":"5e00ce14d9272dbbddc45fe64b6fb8a20f17bccd68c0061fc8a935c2e48bab78"},"schema_version":"1.0","source":{"id":"2406.19607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.19607","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"2406.19607v2","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.19607","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"QC2PLPTQHOAT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"QC2PLPTQHOATDCES","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"QC2PLPTQ","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:588a4fd7efaf25a13e8cc0d1b726f27581b2239e1ba791f49815b5e3d2ffa7b5","target":"graph","created_at":"2026-05-18T03:10:13Z","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 provide a general approach to reformulating any continuous-time stochastic Stackelberg differential game under closed-loop strategies as a single-level optimisation problem with target constraints. More precisely, we consider a Stackelberg game in which the leader and the follower can both control the drift and the volatility of a stochastic output process, in order to maximise their respective expected utility. The aim is to characterise the Stackelberg equilibrium when the players adopt 'closed-loop strategies', i.e. their decisions are based solely on the historical information of the ou","authors_text":"Camilo Hern\\'andez, Dylan Possama\\\"i, Emma Hubert, Nicol\\'as Hern\\'andez Santib\\'a\\~nez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-28T02:27:07Z","title":"Closed-loop equilibria for Stackelberg games: a story about stochastic targets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.19607","kind":"arxiv","version":2},"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":"sha256:79c86af0a6bff571ad2829b881d9b091f8718909a5c491b0958eed1df3bde3d2","target":"record","created_at":"2026-05-18T03:10:13Z","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":"828c7200e187fe18d4e983a0158d5ac826719277fcf7495338693bcf54f5ce90","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-28T02:27:07Z","title_canon_sha256":"5e00ce14d9272dbbddc45fe64b6fb8a20f17bccd68c0061fc8a935c2e48bab78"},"schema_version":"1.0","source":{"id":"2406.19607","kind":"arxiv","version":2}},"canonical_sha256":"80b4f5be703b81318892185a2f137307e793b3ce60585242c140e3127d04e502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80b4f5be703b81318892185a2f137307e793b3ce60585242c140e3127d04e502","first_computed_at":"2026-05-18T03:10:13.035842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:13.035842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d5dwWkKMgP+RQjAjkVH5DzkhAolbmKSOtNUOWEmWB1csN1VgyPUFCc/qZ8Z6qrQmw7gF6b2OVZFCjcdDDm+CAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:13.036310Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.19607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79c86af0a6bff571ad2829b881d9b091f8718909a5c491b0958eed1df3bde3d2","sha256:588a4fd7efaf25a13e8cc0d1b726f27581b2239e1ba791f49815b5e3d2ffa7b5"],"state_sha256":"90229f0d72039f0b68e894950ffead7b84f3c648a0d9e81ae01fe1361e277e6f"}