{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HI764P46CMVDG75JNFM7AOJL3F","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":"83c092857dd93421da8e18eed1066664b916c0edf4bc55f9c860557f55cebba4","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-07-30T06:51:02Z","title_canon_sha256":"1bfd4cd32201ae6546e8a5b0aedd7b2bff78ff738cff8113cc4c9f2cb056b7c4"},"schema_version":"1.0","source":{"id":"1307.7838","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7838","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7838v2","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7838","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"HI764P46CMVD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HI764P46CMVDG75J","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HI764P46","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:e887d1b7d8afa7842ffbd1defb8d23e6893263359f1b7fd1b93a440a77b3f7fb","target":"graph","created_at":"2026-05-18T03:01:10Z","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 study bidding and pricing competition between two spiteful mobile network operators (MNOs) with considering their existing spectrum holdings. Given asymmetric-valued spectrum blocks are auctioned off to them via a first-price sealed-bid auction, we investigate the interactions between two spiteful MNOs and users as a three-stage dynamic game and characterize the dynamic game's equilibria. We show an asymmetric pricing structure and different market share between two spiteful MNOs. Perhaps counter-intuitively, our results show that the MNO who acquires the less-valued spectrum block always l","authors_text":"Sang Yeob Jung, Seong-Lyun Kim, Seung Min Yu","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-07-30T06:51:02Z","title":"Asymmetric-valued Spectrum Auction and Competition in Wireless Broadband Services"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7838","kind":"arxiv","version":2},"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":"sha256:61cb6e12186a632bf8ab5a898cc83021d02a97fac0ff2346afb39dc59b4ab989","target":"record","created_at":"2026-05-18T03:01:10Z","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":"83c092857dd93421da8e18eed1066664b916c0edf4bc55f9c860557f55cebba4","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-07-30T06:51:02Z","title_canon_sha256":"1bfd4cd32201ae6546e8a5b0aedd7b2bff78ff738cff8113cc4c9f2cb056b7c4"},"schema_version":"1.0","source":{"id":"1307.7838","kind":"arxiv","version":2}},"canonical_sha256":"3a3fee3f9e132a337fa96959f0392bd9754d6fa870065f45b8e83387cf1b41a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a3fee3f9e132a337fa96959f0392bd9754d6fa870065f45b8e83387cf1b41a1","first_computed_at":"2026-05-18T03:01:10.371608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:10.371608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hUjS+K4Mtn1m47oB0fsuQi0W/AhJ0pBw8eH0lLSuptagkI5KFOM3T4aEbqqsrEtd5BmA1aPgYV9t9lOxH8BSAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:10.372116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7838","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61cb6e12186a632bf8ab5a898cc83021d02a97fac0ff2346afb39dc59b4ab989","sha256:e887d1b7d8afa7842ffbd1defb8d23e6893263359f1b7fd1b93a440a77b3f7fb"],"state_sha256":"d768488b00cb76eba80b638fafb0b16fc1cacd3eb6fe2d0687112be914c4eede"}