{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RQ26MQ7B2PRC3664HKQ5RCKQGK","short_pith_number":"pith:RQ26MQ7B","schema_version":"1.0","canonical_sha256":"8c35e643e1d3e22dfbdc3aa1d889503297a28dbe39d4c09c26fcc580194c8531","source":{"kind":"arxiv","id":"1603.00119","version":5},"attestation_state":"computed","paper":{"title":"From Duels to Battefields: Computing Equilibria of Blotto and Other Games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"AmirMahdi Ahmadinejad, Brendan Lucier, Hamid Mahini, MohammadTaghi Hajiaghayi, Saeed Seddighin, Sina Dehghani","submitted_at":"2016-03-01T03:09:38Z","abstract_excerpt":"We study the problem of computing Nash equilibria of zero-sum games. Many natural zero-sum games have exponentially many strategies, but highly structured payoffs. For example, in the well-studied Colonel Blotto game (introduced by Borel in 1921), players must divide a pool of troops among a set of battlefields with the goal of winning (i.e., having more troops in) a majority. The Colonel Blotto game is commonly used for analyzing a wide range of applications from the U.S presidential election, to innovative technology competitions, to advertisement, to sports. However, because of the size of "},"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":"1603.00119","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-03-01T03:09:38Z","cross_cats_sorted":[],"title_canon_sha256":"50c3396e37ced0b65a439705b24e7657f7bf6dc6779a72614785a4a7aab4cafd","abstract_canon_sha256":"6ea8868ba6dfafaf312ae98d7b5d9fc7ca499d77021010160c3d291ec1fa1c69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:29.390764Z","signature_b64":"SOH/Km0X6fSRtU8mMw65PZA1Lt9c5knrucbxCRH5RAe/cYe2k12IReaRmyUES6HWZQDsZEosCPNFPA2KYeWZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c35e643e1d3e22dfbdc3aa1d889503297a28dbe39d4c09c26fcc580194c8531","last_reissued_at":"2026-05-18T00:52:29.390325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:29.390325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Duels to Battefields: Computing Equilibria of Blotto and Other Games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"AmirMahdi Ahmadinejad, Brendan Lucier, Hamid Mahini, MohammadTaghi Hajiaghayi, Saeed Seddighin, Sina Dehghani","submitted_at":"2016-03-01T03:09:38Z","abstract_excerpt":"We study the problem of computing Nash equilibria of zero-sum games. Many natural zero-sum games have exponentially many strategies, but highly structured payoffs. For example, in the well-studied Colonel Blotto game (introduced by Borel in 1921), players must divide a pool of troops among a set of battlefields with the goal of winning (i.e., having more troops in) a majority. The Colonel Blotto game is commonly used for analyzing a wide range of applications from the U.S presidential election, to innovative technology competitions, to advertisement, to sports. However, because of the size of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00119","kind":"arxiv","version":5},"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":"1603.00119","created_at":"2026-05-18T00:52:29.390393+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.00119v5","created_at":"2026-05-18T00:52:29.390393+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00119","created_at":"2026-05-18T00:52:29.390393+00:00"},{"alias_kind":"pith_short_12","alias_value":"RQ26MQ7B2PRC","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RQ26MQ7B2PRC3664","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RQ26MQ7B","created_at":"2026-05-18T12:30:41.710351+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/RQ26MQ7B2PRC3664HKQ5RCKQGK","json":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK.json","graph_json":"https://pith.science/api/pith-number/RQ26MQ7B2PRC3664HKQ5RCKQGK/graph.json","events_json":"https://pith.science/api/pith-number/RQ26MQ7B2PRC3664HKQ5RCKQGK/events.json","paper":"https://pith.science/paper/RQ26MQ7B"},"agent_actions":{"view_html":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK","download_json":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK.json","view_paper":"https://pith.science/paper/RQ26MQ7B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.00119&json=true","fetch_graph":"https://pith.science/api/pith-number/RQ26MQ7B2PRC3664HKQ5RCKQGK/graph.json","fetch_events":"https://pith.science/api/pith-number/RQ26MQ7B2PRC3664HKQ5RCKQGK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK/action/storage_attestation","attest_author":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK/action/author_attestation","sign_citation":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK/action/citation_signature","submit_replication":"https://pith.science/pith/RQ26MQ7B2PRC3664HKQ5RCKQGK/action/replication_record"}},"created_at":"2026-05-18T00:52:29.390393+00:00","updated_at":"2026-05-18T00:52:29.390393+00:00"}