{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:63DN6UAMC7VAFT2F3QJT2P5PKC","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":"5ab1697def642283e8c3c484b4f432aaaf48a74c9388c2af0edd70940f89067d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-12-09T15:24:42Z","title_canon_sha256":"c4ada8185fee26326de7c4940506aa95650f26894beb07ec1bcf527e061fceb0"},"schema_version":"1.0","source":{"id":"1412.2993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2993","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2993v1","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2993","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"63DN6UAMC7VA","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"63DN6UAMC7VAFT2F","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"63DN6UAM","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:32e98f886b2afa9c5b9b79a7cfc2ba9493c610ada1706d23227810fc3f672507","target":"graph","created_at":"2026-05-18T02:31:45Z","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 develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer hold. Nevertheless, we can use the framework to provide psychologically appealing explanations of observed behavior in well-studied games (such as finitely repeated prisoner's dilemma and rock-paper-scissors). Furthermore, we provide natural conditions on games sufficient to guarantee that equilibria exist.","authors_text":"Joseph Y. Halpern, Rafael Pass","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-12-09T15:24:42Z","title":"Algorithmic Rationality: Game Theory with Costly Computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2993","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:c9c0ec902cc432862d0132a3315e8c2f76b015c637f9f51bb8f461b66ee9832d","target":"record","created_at":"2026-05-18T02:31:45Z","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":"5ab1697def642283e8c3c484b4f432aaaf48a74c9388c2af0edd70940f89067d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-12-09T15:24:42Z","title_canon_sha256":"c4ada8185fee26326de7c4940506aa95650f26894beb07ec1bcf527e061fceb0"},"schema_version":"1.0","source":{"id":"1412.2993","kind":"arxiv","version":1}},"canonical_sha256":"f6c6df500c17ea02cf45dc133d3faf509fb7cfc06100e1580ffcb298e251a978","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6c6df500c17ea02cf45dc133d3faf509fb7cfc06100e1580ffcb298e251a978","first_computed_at":"2026-05-18T02:31:45.293959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:45.293959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8jnuI1oyiPLfUVRpvzPcle7cVYb56DlwWaM0h/tljU2J/GpwS+JjiGnYEh3djCCi/aSsxeU1Uc22943NR0PWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:45.294539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9c0ec902cc432862d0132a3315e8c2f76b015c637f9f51bb8f461b66ee9832d","sha256:32e98f886b2afa9c5b9b79a7cfc2ba9493c610ada1706d23227810fc3f672507"],"state_sha256":"4903730032bdfc2bd221ca866ded961fe1a2e950e930a61f8381538521ef1642"}