{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YJZPSYH3TZQMVHJGJAAOKTRZHC","short_pith_number":"pith:YJZPSYH3","canonical_record":{"source":{"id":"2605.12802","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.TH","submitted_at":"2026-05-12T22:45:16Z","cross_cats_sorted":["econ.GN","q-fin.EC"],"title_canon_sha256":"953aedf278466f671271a1bb7cd098148289a1c7ed0908f17f80dfd539a04144","abstract_canon_sha256":"3ae09f977798765208199b22d08f2812a372677b31598b36201180b9d380f6cc"},"schema_version":"1.0"},"canonical_sha256":"c272f960fb9e60ca9d264800e54e3938ae3b4a9f0d9720ace20064188851bc8d","source":{"kind":"arxiv","id":"2605.12802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.12802","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"2605.12802v1","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.12802","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"YJZPSYH3TZQM","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"YJZPSYH3TZQMVHJG","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"YJZPSYH3","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YJZPSYH3TZQMVHJGJAAOKTRZHC","target":"record","payload":{"canonical_record":{"source":{"id":"2605.12802","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.TH","submitted_at":"2026-05-12T22:45:16Z","cross_cats_sorted":["econ.GN","q-fin.EC"],"title_canon_sha256":"953aedf278466f671271a1bb7cd098148289a1c7ed0908f17f80dfd539a04144","abstract_canon_sha256":"3ae09f977798765208199b22d08f2812a372677b31598b36201180b9d380f6cc"},"schema_version":"1.0"},"canonical_sha256":"c272f960fb9e60ca9d264800e54e3938ae3b4a9f0d9720ace20064188851bc8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:12.700874Z","signature_b64":"mEooD6nkE6xYs5n7MnDk5wtyAbFHQsgiYeWJikNgwgROroflhYd3pSz+K75UqUjTr4MyFQI6/UIU1PzRkcXMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c272f960fb9e60ca9d264800e54e3938ae3b4a9f0d9720ace20064188851bc8d","last_reissued_at":"2026-05-18T03:09:12.700413Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:12.700413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.12802","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ALHH6Wu9nNoMI/HqzRSIKkAHTb7dvD1WODhdNtv+RKC7rO6YpxtgTYZdqooCGXZ1y/q2GvTapoQMKH1X77WAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:35:37.808313Z"},"content_sha256":"e91850b6b478859125f0e601afce317749b31d6be1e300621d6c41f392fa7166","schema_version":"1.0","event_id":"sha256:e91850b6b478859125f0e601afce317749b31d6be1e300621d6c41f392fa7166"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YJZPSYH3TZQMVHJGJAAOKTRZHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strategically Analogous Mechanisms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Strategic understanding of equilibria transfers across analogous mechanisms once agents recognize the mappings of actions and types.","cross_cats":["econ.GN","q-fin.EC"],"primary_cat":"econ.TH","authors_text":"Filip Tokarski, Joseph Feffer","submitted_at":"2026-05-12T22:45:16Z","abstract_excerpt":"This paper studies when strategic understanding acquired in one mechanism can be transferred to another. We introduce a framework in which agents' knowledge is represented as a set of payoff comparisons they can make, and use it to formalize what it means to understand that a strategy profile is an equilibrium. We first apply this framework to mechanisms that are strategically equivalent-that is, share the same game form up to relabeling of actions-and show that agents' understanding of equilibrium transfers across such mechanisms once the relevant action correspondences are explained to them."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"understanding of equilibrium transfers across strategically analogous mechanisms once agents recognize how actions and types correspond.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That agents' knowledge is fully captured by a set of payoff comparisons they can make and that recognizing correspondences is sufficient for transfer of equilibrium understanding.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Strategic understanding of equilibria transfers across mechanisms via remapped actions and types under a new framework for strategic analogy.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Strategic understanding of equilibria transfers across analogous mechanisms once agents recognize the mappings of actions and types.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"c0701df244a6977b50ed6e1f5a25af8f1d27297beebabfe497d906edb04bba7b"},"source":{"id":"2605.12802","kind":"arxiv","version":1},"verdict":{"id":"86cbd2a4-4936-4fdf-9afe-7a162b2efe75","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T19:22:21.972097Z","strongest_claim":"understanding of equilibrium transfers across strategically analogous mechanisms once agents recognize how actions and types correspond.","one_line_summary":"Strategic understanding of equilibria transfers across mechanisms via remapped actions and types under a new framework for strategic analogy.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That agents' knowledge is fully captured by a set of payoff comparisons they can make and that recognizing correspondences is sufficient for transfer of equilibrium understanding.","pith_extraction_headline":"Strategic understanding of equilibria transfers across analogous mechanisms once agents recognize the mappings of actions and types."},"references":{"count":32,"sample":[{"doi":"","year":2024,"title":"Allende, C., J. P. Atal, R. Carril, J. I. Cuesta, and A. González-Lira (2024): Drivers of public procurement prices: Evidence from pharmaceutical markets, International Journal of Industrial Organizat","work_id":"c990f53b-f2d2-439d-930b-b310ad7911af","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1995,"title":"Aumann, R. and A. Brandenburger (1995): Epistemic conditions for Nash equilibrium, Econometrica: Journal of the Econometric Society, 1161--1180","work_id":"73a99f47-e7e6-49c3-bdb7-d7fe6821d78a","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1976,"title":"Aumann, R. J. (1976): Agreeing to Disagree, The Annals of Statistics, 4, 1236--1239","work_id":"33aedef8-aad1-4ded-acdf-5cc43c30a88b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1984,"title":"Bernheim, B. D. (1984): Rationalizable strategic behavior, Econometrica: Journal of the Econometric Society, 1007--1028","work_id":"56584475-9b38-4d18-bb0d-2a1fccdd55ae","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2019,"title":"B \\\"o rgers, T. and J. Li (2019): Strategically simple mechanisms, Econometrica, 87, 2003--2035","work_id":"0a77d711-0be2-4349-afd1-b09e9b4250dd","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":32,"snapshot_sha256":"9eec3c4b904ec3039170c57f8283a83c2181fe356ceb0d81ef395934d5483c05","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"},"verdict_id":"86cbd2a4-4936-4fdf-9afe-7a162b2efe75"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FPZP7j7QS8YjIu0bRuYNrDfUQU1FJA2FpAm9busJ0ZXdf6b3ep5XE40ws4IayNJ+Vgj6HbXprR4uODPrRt2kCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:35:37.808910Z"},"content_sha256":"b80bc3bba25c4ebbf97651e36639c8e401c9eaa3e9589f1b1b3bdaca1723e0db","schema_version":"1.0","event_id":"sha256:b80bc3bba25c4ebbf97651e36639c8e401c9eaa3e9589f1b1b3bdaca1723e0db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YJZPSYH3TZQMVHJGJAAOKTRZHC/bundle.json","state_url":"https://pith.science/pith/YJZPSYH3TZQMVHJGJAAOKTRZHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YJZPSYH3TZQMVHJGJAAOKTRZHC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T21:35:37Z","links":{"resolver":"https://pith.science/pith/YJZPSYH3TZQMVHJGJAAOKTRZHC","bundle":"https://pith.science/pith/YJZPSYH3TZQMVHJGJAAOKTRZHC/bundle.json","state":"https://pith.science/pith/YJZPSYH3TZQMVHJGJAAOKTRZHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YJZPSYH3TZQMVHJGJAAOKTRZHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YJZPSYH3TZQMVHJGJAAOKTRZHC","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":"3ae09f977798765208199b22d08f2812a372677b31598b36201180b9d380f6cc","cross_cats_sorted":["econ.GN","q-fin.EC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.TH","submitted_at":"2026-05-12T22:45:16Z","title_canon_sha256":"953aedf278466f671271a1bb7cd098148289a1c7ed0908f17f80dfd539a04144"},"schema_version":"1.0","source":{"id":"2605.12802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.12802","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"2605.12802v1","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.12802","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"YJZPSYH3TZQM","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"YJZPSYH3TZQMVHJG","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"YJZPSYH3","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:b80bc3bba25c4ebbf97651e36639c8e401c9eaa3e9589f1b1b3bdaca1723e0db","target":"graph","created_at":"2026-05-18T03:09:12Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"understanding of equilibrium transfers across strategically analogous mechanisms once agents recognize how actions and types correspond."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That agents' knowledge is fully captured by a set of payoff comparisons they can make and that recognizing correspondences is sufficient for transfer of equilibrium understanding."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Strategic understanding of equilibria transfers across mechanisms via remapped actions and types under a new framework for strategic analogy."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Strategic understanding of equilibria transfers across analogous mechanisms once agents recognize the mappings of actions and types."}],"snapshot_sha256":"c0701df244a6977b50ed6e1f5a25af8f1d27297beebabfe497d906edb04bba7b"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper studies when strategic understanding acquired in one mechanism can be transferred to another. We introduce a framework in which agents' knowledge is represented as a set of payoff comparisons they can make, and use it to formalize what it means to understand that a strategy profile is an equilibrium. We first apply this framework to mechanisms that are strategically equivalent-that is, share the same game form up to relabeling of actions-and show that agents' understanding of equilibrium transfers across such mechanisms once the relevant action correspondences are explained to them.","authors_text":"Filip Tokarski, Joseph Feffer","cross_cats":["econ.GN","q-fin.EC"],"headline":"Strategic understanding of equilibria transfers across analogous mechanisms once agents recognize the mappings of actions and types.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.TH","submitted_at":"2026-05-12T22:45:16Z","title":"Strategically Analogous Mechanisms"},"references":{"count":32,"internal_anchors":0,"resolved_work":32,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Allende, C., J. P. Atal, R. Carril, J. I. Cuesta, and A. González-Lira (2024): Drivers of public procurement prices: Evidence from pharmaceutical markets, International Journal of Industrial Organizat","work_id":"c990f53b-f2d2-439d-930b-b310ad7911af","year":2024},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Aumann, R. and A. Brandenburger (1995): Epistemic conditions for Nash equilibrium, Econometrica: Journal of the Econometric Society, 1161--1180","work_id":"73a99f47-e7e6-49c3-bdb7-d7fe6821d78a","year":1995},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Aumann, R. J. (1976): Agreeing to Disagree, The Annals of Statistics, 4, 1236--1239","work_id":"33aedef8-aad1-4ded-acdf-5cc43c30a88b","year":1976},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Bernheim, B. D. (1984): Rationalizable strategic behavior, Econometrica: Journal of the Econometric Society, 1007--1028","work_id":"56584475-9b38-4d18-bb0d-2a1fccdd55ae","year":1984},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"B \\\"o rgers, T. and J. Li (2019): Strategically simple mechanisms, Econometrica, 87, 2003--2035","work_id":"0a77d711-0be2-4349-afd1-b09e9b4250dd","year":2019}],"snapshot_sha256":"9eec3c4b904ec3039170c57f8283a83c2181fe356ceb0d81ef395934d5483c05"},"source":{"id":"2605.12802","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T19:22:21.972097Z","id":"86cbd2a4-4936-4fdf-9afe-7a162b2efe75","model_set":{"reader":"grok-4.3"},"one_line_summary":"Strategic understanding of equilibria transfers across mechanisms via remapped actions and types under a new framework for strategic analogy.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Strategic understanding of equilibria transfers across analogous mechanisms once agents recognize the mappings of actions and types.","strongest_claim":"understanding of equilibrium transfers across strategically analogous mechanisms once agents recognize how actions and types correspond.","weakest_assumption":"That agents' knowledge is fully captured by a set of payoff comparisons they can make and that recognizing correspondences is sufficient for transfer of equilibrium understanding."}},"verdict_id":"86cbd2a4-4936-4fdf-9afe-7a162b2efe75"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e91850b6b478859125f0e601afce317749b31d6be1e300621d6c41f392fa7166","target":"record","created_at":"2026-05-18T03:09:12Z","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":"3ae09f977798765208199b22d08f2812a372677b31598b36201180b9d380f6cc","cross_cats_sorted":["econ.GN","q-fin.EC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.TH","submitted_at":"2026-05-12T22:45:16Z","title_canon_sha256":"953aedf278466f671271a1bb7cd098148289a1c7ed0908f17f80dfd539a04144"},"schema_version":"1.0","source":{"id":"2605.12802","kind":"arxiv","version":1}},"canonical_sha256":"c272f960fb9e60ca9d264800e54e3938ae3b4a9f0d9720ace20064188851bc8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c272f960fb9e60ca9d264800e54e3938ae3b4a9f0d9720ace20064188851bc8d","first_computed_at":"2026-05-18T03:09:12.700413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:12.700413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mEooD6nkE6xYs5n7MnDk5wtyAbFHQsgiYeWJikNgwgROroflhYd3pSz+K75UqUjTr4MyFQI6/UIU1PzRkcXMDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:12.700874Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.12802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e91850b6b478859125f0e601afce317749b31d6be1e300621d6c41f392fa7166","sha256:b80bc3bba25c4ebbf97651e36639c8e401c9eaa3e9589f1b1b3bdaca1723e0db"],"state_sha256":"699b86a923f1dde35949c827660776b228a78e3f33b6b2b639f4cfafe363107c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3z7+uPs0QE6mrONKKZfyrAMrtVbH8A7bnTTqCOk0N1eAqz9+LiMJUPG3Ns2FCUoS86R9wxivxoGOimhRHkwOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T21:35:37.811685Z","bundle_sha256":"71e0d6a4c9fd58d791aee36c0548dc74c355434d933df0a5ffe73386df0c4fcd"}}