{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OOFFD3N5Q4BFSDV43JGLGKWVFM","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":"3be79495ffe6212aea56787d3fafdf782b1917521e4f62e994c36f6b83d45139","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-02T01:06:26Z","title_canon_sha256":"728b019408e0f448392b22e17e1a021a99efb0b2af261161f6575b355f237d56"},"schema_version":"1.0","source":{"id":"1301.0152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0152","created_at":"2026-05-18T03:37:28Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0152v1","created_at":"2026-05-18T03:37:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0152","created_at":"2026-05-18T03:37:28Z"},{"alias_kind":"pith_short_12","alias_value":"OOFFD3N5Q4BF","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OOFFD3N5Q4BFSDV4","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OOFFD3N5","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:32a37ab20f73f0a3dbab0774894ce7995d2d2508ab79f589f238219cb509e19e","target":"graph","created_at":"2026-05-18T03:37:28Z","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 use Hotelling's spatial model of competition to investigate the position-taking behaviour of political candidates under a class of electoral systems known as scoring rules. In a scoring rule election, voters rank all the candidates running for office, following which the candidates are assigned points according to a vector of nonincreasing scores. Convergent Nash equilibria in which all candidates adopt the same policy were characterised by Cox (1987). Here, we investigate nonconvergent equilibria, where candidates adopt divergent policies. We identify a number of classes of scoring rules e","authors_text":"Arkadii Slinko, Dodge Cahan, John McCabe-Dansted","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-02T01:06:26Z","title":"Nonconvergent Electoral Equilibria under Scoring Rules: Beyond Plurality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0152","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:ab59739e52cae0888b3e0dabebcf63fe4f821ae8573f727ba76dd3be669e4caf","target":"record","created_at":"2026-05-18T03:37:28Z","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":"3be79495ffe6212aea56787d3fafdf782b1917521e4f62e994c36f6b83d45139","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-02T01:06:26Z","title_canon_sha256":"728b019408e0f448392b22e17e1a021a99efb0b2af261161f6575b355f237d56"},"schema_version":"1.0","source":{"id":"1301.0152","kind":"arxiv","version":1}},"canonical_sha256":"738a51edbd8702590ebcda4cb32ad52b0a99aa7a61fb55066da61ab96fecf343","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"738a51edbd8702590ebcda4cb32ad52b0a99aa7a61fb55066da61ab96fecf343","first_computed_at":"2026-05-18T03:37:28.050780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:28.050780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2g2IKM+BRbj3tH4uPp2tyWjfydiMEeESRlGcMU2GMC+5nOdx0Vr3JoBtIT+gE72STOrnRNI6KO5aw+jztkUVCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:28.051457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab59739e52cae0888b3e0dabebcf63fe4f821ae8573f727ba76dd3be669e4caf","sha256:32a37ab20f73f0a3dbab0774894ce7995d2d2508ab79f589f238219cb509e19e"],"state_sha256":"6125b8c1fa20a1320b4a1ed90c0b53c8633a0fcde3b3ce9078c00e37f65b7896"}