{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:M7P7JIAL7LM73YPUTE6635EDZR","short_pith_number":"pith:M7P7JIAL","schema_version":"1.0","canonical_sha256":"67dff4a00bfad9fde1f4993dedf483cc6661cdb8419c727344afd105b94119be","source":{"kind":"arxiv","id":"1805.11036","version":2},"attestation_state":"computed","paper":{"title":"A Macroscopic Portfolio Model: From Rational Agents to Bounded Rationality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-fin.CP","q-fin.TR"],"primary_cat":"q-fin.PM","authors_text":"Torsten Trimborn","submitted_at":"2018-05-25T09:28:21Z","abstract_excerpt":"We introduce a microscopic model of interacting financial agents, where each agent is characterized by two portfolios; money invested in bonds and money invested in stocks. Furthermore, each agent is faced with an optimization problem in order to determine the optimal asset allocation. The stock price evolution is driven by the aggregated investment decision of all agents. In fact, we are faced with a differential game since all agents aim to invest optimal. Mathematically such a problem is ill posed and we introduce the concept of Nash equilibrium solutions to ensure the existence of a soluti"},"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":"1805.11036","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2018-05-25T09:28:21Z","cross_cats_sorted":["math.DS","q-fin.CP","q-fin.TR"],"title_canon_sha256":"88a9cfc120578d9b8432d5d77e71bdc09bd9e6049605740da34be7a8027facc1","abstract_canon_sha256":"a859956b0e61caad1e5642642fd71cb4ed4edea990ffc6530de9281f2233844e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:09.523417Z","signature_b64":"1/Jmwd33YXoZrKHfwk9cBDz5rasP55y0OIL1S7pzZPNR3spD3BAAFPeHOPE5h2rvRPDyo4NGguVKCUK3Gri6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67dff4a00bfad9fde1f4993dedf483cc6661cdb8419c727344afd105b94119be","last_reissued_at":"2026-05-17T23:53:09.522695Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:09.522695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Macroscopic Portfolio Model: From Rational Agents to Bounded Rationality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-fin.CP","q-fin.TR"],"primary_cat":"q-fin.PM","authors_text":"Torsten Trimborn","submitted_at":"2018-05-25T09:28:21Z","abstract_excerpt":"We introduce a microscopic model of interacting financial agents, where each agent is characterized by two portfolios; money invested in bonds and money invested in stocks. Furthermore, each agent is faced with an optimization problem in order to determine the optimal asset allocation. The stock price evolution is driven by the aggregated investment decision of all agents. In fact, we are faced with a differential game since all agents aim to invest optimal. Mathematically such a problem is ill posed and we introduce the concept of Nash equilibrium solutions to ensure the existence of a soluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11036","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1805.11036","created_at":"2026-05-17T23:53:09.522807+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.11036v2","created_at":"2026-05-17T23:53:09.522807+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11036","created_at":"2026-05-17T23:53:09.522807+00:00"},{"alias_kind":"pith_short_12","alias_value":"M7P7JIAL7LM7","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"M7P7JIAL7LM73YPU","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"M7P7JIAL","created_at":"2026-05-18T12:32:37.024351+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/M7P7JIAL7LM73YPUTE6635EDZR","json":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR.json","graph_json":"https://pith.science/api/pith-number/M7P7JIAL7LM73YPUTE6635EDZR/graph.json","events_json":"https://pith.science/api/pith-number/M7P7JIAL7LM73YPUTE6635EDZR/events.json","paper":"https://pith.science/paper/M7P7JIAL"},"agent_actions":{"view_html":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR","download_json":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR.json","view_paper":"https://pith.science/paper/M7P7JIAL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.11036&json=true","fetch_graph":"https://pith.science/api/pith-number/M7P7JIAL7LM73YPUTE6635EDZR/graph.json","fetch_events":"https://pith.science/api/pith-number/M7P7JIAL7LM73YPUTE6635EDZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR/action/storage_attestation","attest_author":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR/action/author_attestation","sign_citation":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR/action/citation_signature","submit_replication":"https://pith.science/pith/M7P7JIAL7LM73YPUTE6635EDZR/action/replication_record"}},"created_at":"2026-05-17T23:53:09.522807+00:00","updated_at":"2026-05-17T23:53:09.522807+00:00"}