{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:HMIXPUH5GE5TH4EYOXUTQKW22E","short_pith_number":"pith:HMIXPUH5","schema_version":"1.0","canonical_sha256":"3b1177d0fd313b33f09875e9382adad1137023991a610944483bbb6f54c86ba5","source":{"kind":"arxiv","id":"2504.16240","version":3},"attestation_state":"computed","paper":{"title":"Existence of Bayesian Equilibria in Incomplete Information Games without Common Priors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Denis Kojevnikov, Kyungchul Song","submitted_at":"2025-04-22T20:12:06Z","abstract_excerpt":"This paper focuses on finite-player incomplete information games where players may hold mutually inconsistent beliefs without a common prior. We introduce absolute continuity of beliefs, extending the classical notion of absolute continuity of information in Milgrom and Weber (1985), and prove that Bayesian equilibria exist in a broad class of games, including those with discontinuous payoffs. Examples illustrate the scope and implications of our findings."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2504.16240","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2025-04-22T20:12:06Z","cross_cats_sorted":[],"title_canon_sha256":"4fd8004c389bf9b2b68869149076bbff8570bde7f0847b8f41134fe925e6a19f","abstract_canon_sha256":"dd9fb398e01b7d36d4dfc7f2966c03b604e869075ce24acac4b73daaf2678287"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:03.488988Z","signature_b64":"xzmupLSBLIuTIFJ8E1zqMdfZNruu425r/IyXG3ugLkXfqpLuh8KALpWXito+dXbsE8H5DsgiWkfvMtqUzJvBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b1177d0fd313b33f09875e9382adad1137023991a610944483bbb6f54c86ba5","last_reissued_at":"2026-06-19T16:12:03.488498Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:03.488498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence of Bayesian Equilibria in Incomplete Information Games without Common Priors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Denis Kojevnikov, Kyungchul Song","submitted_at":"2025-04-22T20:12:06Z","abstract_excerpt":"This paper focuses on finite-player incomplete information games where players may hold mutually inconsistent beliefs without a common prior. We introduce absolute continuity of beliefs, extending the classical notion of absolute continuity of information in Milgrom and Weber (1985), and prove that Bayesian equilibria exist in a broad class of games, including those with discontinuous payoffs. Examples illustrate the scope and implications of our findings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.16240","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.16240/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2504.16240","created_at":"2026-06-19T16:12:03.488556+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.16240v3","created_at":"2026-06-19T16:12:03.488556+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.16240","created_at":"2026-06-19T16:12:03.488556+00:00"},{"alias_kind":"pith_short_12","alias_value":"HMIXPUH5GE5T","created_at":"2026-06-19T16:12:03.488556+00:00"},{"alias_kind":"pith_short_16","alias_value":"HMIXPUH5GE5TH4EY","created_at":"2026-06-19T16:12:03.488556+00:00"},{"alias_kind":"pith_short_8","alias_value":"HMIXPUH5","created_at":"2026-06-19T16:12:03.488556+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E","json":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E.json","graph_json":"https://pith.science/api/pith-number/HMIXPUH5GE5TH4EYOXUTQKW22E/graph.json","events_json":"https://pith.science/api/pith-number/HMIXPUH5GE5TH4EYOXUTQKW22E/events.json","paper":"https://pith.science/paper/HMIXPUH5"},"agent_actions":{"view_html":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E","download_json":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E.json","view_paper":"https://pith.science/paper/HMIXPUH5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.16240&json=true","fetch_graph":"https://pith.science/api/pith-number/HMIXPUH5GE5TH4EYOXUTQKW22E/graph.json","fetch_events":"https://pith.science/api/pith-number/HMIXPUH5GE5TH4EYOXUTQKW22E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E/action/storage_attestation","attest_author":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E/action/author_attestation","sign_citation":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E/action/citation_signature","submit_replication":"https://pith.science/pith/HMIXPUH5GE5TH4EYOXUTQKW22E/action/replication_record"}},"created_at":"2026-06-19T16:12:03.488556+00:00","updated_at":"2026-06-19T16:12:03.488556+00:00"}