{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TFZF6YTB5PPCQNU26BZ5N2MGE2","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":"9fe6a2ccf6587aa668877ccafb9fc0ff354094ca9a36072e6b1e6d6829083e6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:14:31Z","title_canon_sha256":"9662a17f9c6bca3fdedf188c05210dc40fde492ce05e9090c627f1ecaaf64e46"},"schema_version":"1.0","source":{"id":"1703.03292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03292","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03292v1","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03292","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"pith_short_12","alias_value":"TFZF6YTB5PPC","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TFZF6YTB5PPCQNU2","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TFZF6YTB","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:790a5e5a905e8d5a56bf1a189e9503ff4fd5a67dd8a3da032ccf7607b2a859ec","target":"graph","created_at":"2026-05-18T00:49:00Z","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":"Quantum games with incomplete information can be studied within a Bayesian framework. We analyze games quantized within the EWL framework [Eisert, Wilkens, and Lewenstein, Phys Rev. Lett. 83, 3077 (1999)]. We solve for the Nash equilibria of a variety of two-player quantum games and compare the results to the solutions of the corresponding classical games. We then analyze Bayesian games where there is uncertainty about the player types in two-player conflicting interest games. The solutions to the Bayesian games are found to have a phase diagram-like structure where different equilibria exist ","authors_text":"Neal Solmeyer, Radhakrishnan Balu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:14:31Z","title":"Characterizing the Nash equilibria of three-player Bayesian quantum games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03292","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":"sha256:560b58f5924703df237552045b441ba3b296e8b021e815f9646d9e0a2be7b4a0","target":"record","created_at":"2026-05-18T00:49:00Z","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":"9fe6a2ccf6587aa668877ccafb9fc0ff354094ca9a36072e6b1e6d6829083e6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:14:31Z","title_canon_sha256":"9662a17f9c6bca3fdedf188c05210dc40fde492ce05e9090c627f1ecaaf64e46"},"schema_version":"1.0","source":{"id":"1703.03292","kind":"arxiv","version":1}},"canonical_sha256":"99725f6261ebde28369af073d6e98626a44d83e3bf2bbc1bae609da673452858","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99725f6261ebde28369af073d6e98626a44d83e3bf2bbc1bae609da673452858","first_computed_at":"2026-05-18T00:49:00.776898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:00.776898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u7YRyYo5zIyRslz04vOfhmtgXUYBFo7UA7OncXlMA2+OBE1ItrQLvag/fEt+bfCwxLcBzv9A92YcJVlcIW57Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:00.777681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:560b58f5924703df237552045b441ba3b296e8b021e815f9646d9e0a2be7b4a0","sha256:790a5e5a905e8d5a56bf1a189e9503ff4fd5a67dd8a3da032ccf7607b2a859ec"],"state_sha256":"7198fc8fb903091169e41dfbf9ab2a3fd7c422e34db33c1abaec7d03c423163f"}