{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:N7CCS3M7W6RZ3WRI74YZIXQBOF","short_pith_number":"pith:N7CCS3M7","canonical_record":{"source":{"id":"2001.08177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-01-17T22:27:38Z","cross_cats_sorted":["cs.AI","cs.LG","cs.MA"],"title_canon_sha256":"78849adafb084bbbd4a132fcd6adee8cb804d1815d42b903a3ba62627c27256a","abstract_canon_sha256":"835fa2dd41e3295700b3a0b94d8fd002db169b8be9d74ec1bdfd2010da2ce517"},"schema_version":"1.0"},"canonical_sha256":"6fc4296d9fb7a39dda28ff31945e01717ee840d7f31f02ce0d7b67f48f3efee7","source":{"kind":"arxiv","id":"2001.08177","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.08177","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"arxiv_version","alias_value":"2001.08177v1","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.08177","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"pith_short_12","alias_value":"N7CCS3M7W6RZ","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"pith_short_16","alias_value":"N7CCS3M7W6RZ3WRI","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"pith_short_8","alias_value":"N7CCS3M7","created_at":"2026-07-05T01:51:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:N7CCS3M7W6RZ3WRI74YZIXQBOF","target":"record","payload":{"canonical_record":{"source":{"id":"2001.08177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-01-17T22:27:38Z","cross_cats_sorted":["cs.AI","cs.LG","cs.MA"],"title_canon_sha256":"78849adafb084bbbd4a132fcd6adee8cb804d1815d42b903a3ba62627c27256a","abstract_canon_sha256":"835fa2dd41e3295700b3a0b94d8fd002db169b8be9d74ec1bdfd2010da2ce517"},"schema_version":"1.0"},"canonical_sha256":"6fc4296d9fb7a39dda28ff31945e01717ee840d7f31f02ce0d7b67f48f3efee7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:51:39.145038Z","signature_b64":"1TSPSNa5ls0+5En4VMCyMy6ZvHNC+u9+sxmA7ar0nBxTHzUMcz9Js5JeWT41DjgRUhGBWW1hXzBY2HKOt3iGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fc4296d9fb7a39dda28ff31945e01717ee840d7f31f02ce0d7b67f48f3efee7","last_reissued_at":"2026-07-05T01:51:39.144607Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:51:39.144607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.08177","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":"2026-07-05T01:51:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zw0sCFcxfwf0d33Jw8kjHDCwJXB9YhXVBFco51WVvFUQ3rjqrbQyERjZTfRKZ5g+tzBTgBAnqs16N3Q7wlJyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:29:16.577465Z"},"content_sha256":"f484d749f7347819654eb6c2460d1a23ef0fda428d0b603cfe782288e1eb29f3","schema_version":"1.0","event_id":"sha256:f484d749f7347819654eb6c2460d1a23ef0fda428d0b603cfe782288e1eb29f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:N7CCS3M7W6RZ3WRI74YZIXQBOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A utility-based analysis of equilibria in multi-objective normal form games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.LG","cs.MA"],"primary_cat":"cs.GT","authors_text":"Ann Now\\'e, Diederik M. Roijers, Patrick Mannion, Roxana R\\u{a}dulescu, Yijie Zhang","submitted_at":"2020-01-17T22:27:38Z","abstract_excerpt":"In multi-objective multi-agent systems (MOMAS), agents explicitly consider the possible tradeoffs between conflicting objective functions. We argue that compromises between competing objectives in MOMAS should be analysed on the basis of the utility that these compromises have for the users of a system, where an agent's utility function maps their payoff vectors to scalar utility values. This utility-based approach naturally leads to two different optimisation criteria for agents in a MOMAS: expected scalarised returns (ESR) and scalarised expected returns (SER). In this article, we explore th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.08177","kind":"arxiv","version":1},"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/2001.08177/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:51:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C47AHLhlezXDAOqMnxBwOW5opmtMPPL0lcdY0uaztXnZOBq+LOufhgRyzkTfrCOD1nqF3FxiMckuV3VlBjAlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:29:16.577859Z"},"content_sha256":"dc667a0fa27d86889dc15d97dd7d1af093a03b793ef884763b8039bff77cdc36","schema_version":"1.0","event_id":"sha256:dc667a0fa27d86889dc15d97dd7d1af093a03b793ef884763b8039bff77cdc36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7CCS3M7W6RZ3WRI74YZIXQBOF/bundle.json","state_url":"https://pith.science/pith/N7CCS3M7W6RZ3WRI74YZIXQBOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7CCS3M7W6RZ3WRI74YZIXQBOF/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":"2026-07-07T06:29:16Z","links":{"resolver":"https://pith.science/pith/N7CCS3M7W6RZ3WRI74YZIXQBOF","bundle":"https://pith.science/pith/N7CCS3M7W6RZ3WRI74YZIXQBOF/bundle.json","state":"https://pith.science/pith/N7CCS3M7W6RZ3WRI74YZIXQBOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7CCS3M7W6RZ3WRI74YZIXQBOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:N7CCS3M7W6RZ3WRI74YZIXQBOF","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":"835fa2dd41e3295700b3a0b94d8fd002db169b8be9d74ec1bdfd2010da2ce517","cross_cats_sorted":["cs.AI","cs.LG","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-01-17T22:27:38Z","title_canon_sha256":"78849adafb084bbbd4a132fcd6adee8cb804d1815d42b903a3ba62627c27256a"},"schema_version":"1.0","source":{"id":"2001.08177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.08177","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"arxiv_version","alias_value":"2001.08177v1","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.08177","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"pith_short_12","alias_value":"N7CCS3M7W6RZ","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"pith_short_16","alias_value":"N7CCS3M7W6RZ3WRI","created_at":"2026-07-05T01:51:39Z"},{"alias_kind":"pith_short_8","alias_value":"N7CCS3M7","created_at":"2026-07-05T01:51:39Z"}],"graph_snapshots":[{"event_id":"sha256:dc667a0fa27d86889dc15d97dd7d1af093a03b793ef884763b8039bff77cdc36","target":"graph","created_at":"2026-07-05T01:51:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2001.08177/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In multi-objective multi-agent systems (MOMAS), agents explicitly consider the possible tradeoffs between conflicting objective functions. We argue that compromises between competing objectives in MOMAS should be analysed on the basis of the utility that these compromises have for the users of a system, where an agent's utility function maps their payoff vectors to scalar utility values. This utility-based approach naturally leads to two different optimisation criteria for agents in a MOMAS: expected scalarised returns (ESR) and scalarised expected returns (SER). In this article, we explore th","authors_text":"Ann Now\\'e, Diederik M. Roijers, Patrick Mannion, Roxana R\\u{a}dulescu, Yijie Zhang","cross_cats":["cs.AI","cs.LG","cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-01-17T22:27:38Z","title":"A utility-based analysis of equilibria in multi-objective normal form games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.08177","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:f484d749f7347819654eb6c2460d1a23ef0fda428d0b603cfe782288e1eb29f3","target":"record","created_at":"2026-07-05T01:51:39Z","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":"835fa2dd41e3295700b3a0b94d8fd002db169b8be9d74ec1bdfd2010da2ce517","cross_cats_sorted":["cs.AI","cs.LG","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-01-17T22:27:38Z","title_canon_sha256":"78849adafb084bbbd4a132fcd6adee8cb804d1815d42b903a3ba62627c27256a"},"schema_version":"1.0","source":{"id":"2001.08177","kind":"arxiv","version":1}},"canonical_sha256":"6fc4296d9fb7a39dda28ff31945e01717ee840d7f31f02ce0d7b67f48f3efee7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fc4296d9fb7a39dda28ff31945e01717ee840d7f31f02ce0d7b67f48f3efee7","first_computed_at":"2026-07-05T01:51:39.144607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:51:39.144607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1TSPSNa5ls0+5En4VMCyMy6ZvHNC+u9+sxmA7ar0nBxTHzUMcz9Js5JeWT41DjgRUhGBWW1hXzBY2HKOt3iGCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:51:39.145038Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.08177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f484d749f7347819654eb6c2460d1a23ef0fda428d0b603cfe782288e1eb29f3","sha256:dc667a0fa27d86889dc15d97dd7d1af093a03b793ef884763b8039bff77cdc36"],"state_sha256":"d9082ba51d6fb9f3ca9517f599a35882687dda5503d0b7a7fa7670a3832ccba1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NxgM6tNV7NDbn/vcMLiv/vILd54NTJb2r9jqDOZiStA4NsD+sp4F4UNZuIxjnPNZZmC//chKwjiZtIv0nEAPBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T06:29:16.580236Z","bundle_sha256":"6c429e067a4b58d2e6b005d7cbbae77de8fdffc92f3bb4c012aaafd576d40fe9"}}