{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VEHZXECHQV7ODQKONYOE4RB7X3","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":"bb64a6394d23d9be165d683b7e0acbbb6622fdaa70f60857050ba9198c337dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-13T16:36:40Z","title_canon_sha256":"726ba56aaaed1b4b67acb3c8b8ae6b661bf30b0d6ca4dca23afd275bbc9483a4"},"schema_version":"1.0","source":{"id":"1403.3321","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3321","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3321v4","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3321","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"VEHZXECHQV7O","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VEHZXECHQV7ODQKO","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VEHZXECH","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:78b67f3426427c1325726624cb6d99ef17132345a65d0362be1692402be8482f","target":"graph","created_at":"2026-05-18T01:36:31Z","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 introduce the Lyapunov approach to optimal control problems of average risk-sensitive Markov control processes with general risk maps. Motivated by applications in particular to behavioral economics, we consider possibly non-convex risk maps, modeling behavior with mixed risk preference. We introduce classical objective functions to the risk-sensitive setting and we are in particular interested in optimizing the average risk in the infinite-time horizon for Markov Control Processes on general, possibly non-compact, state spaces allowing also unbounded cost. Existence and uniqueness of an op","authors_text":"Klaus Obermayer, Wilhelm Stannat, Yun Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-13T16:36:40Z","title":"On Average Risk-sensitive Markov Control Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3321","kind":"arxiv","version":4},"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:b2076132424185220416b5264f6d94556afa60ed52c6804962201e859591821e","target":"record","created_at":"2026-05-18T01:36:31Z","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":"bb64a6394d23d9be165d683b7e0acbbb6622fdaa70f60857050ba9198c337dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-13T16:36:40Z","title_canon_sha256":"726ba56aaaed1b4b67acb3c8b8ae6b661bf30b0d6ca4dca23afd275bbc9483a4"},"schema_version":"1.0","source":{"id":"1403.3321","kind":"arxiv","version":4}},"canonical_sha256":"a90f9b9047857ee1c14e6e1c4e443fbeefdd2410b07f580d3accacc83a46aa61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a90f9b9047857ee1c14e6e1c4e443fbeefdd2410b07f580d3accacc83a46aa61","first_computed_at":"2026-05-18T01:36:31.600587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:31.600587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qg8dKeLpcXyjkC7uyZX/tnyQyzFhK1xWHP//RwIptD0VBgxLNtRF6QYjWlPCYLMGHICUhSUth7yfgGCgWpnsBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:31.601309Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3321","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2076132424185220416b5264f6d94556afa60ed52c6804962201e859591821e","sha256:78b67f3426427c1325726624cb6d99ef17132345a65d0362be1692402be8482f"],"state_sha256":"d15f1080cb2db3229ece76e9089ecafc4e74edde1891ac4110622f294b433f0d"}