{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SDD4E4EJ6PM463IIJYQQGGMA7F","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":"a851ad5585b7336ef07e45ebd15bacceb3ba6ff22ca8a3c9b17596de8f18a937","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-06-28T14:14:14Z","title_canon_sha256":"0f751c8bc11388a2f488409dfd1c4b2c44fedba5b6d0d6bd1392019587d44777"},"schema_version":"1.0","source":{"id":"1606.08718","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08718","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08718v4","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08718","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"SDD4E4EJ6PM4","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SDD4E4EJ6PM463II","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SDD4E4EJ","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:1279a50147e4b38a85b7292fb921e094c18242918b0ec02e6e15d574fd47dc2e","target":"graph","created_at":"2026-05-18T00:49:32Z","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":"This paper addresses the problem of learning a Nash equilibrium in $\\gamma$-discounted multiplayer general-sum Markov Games (MG). A key component of this model is the possibility for the players to either collaborate or team apart to increase their rewards. Building an artificial player for general-sum MGs implies to learn more complex strategies which are impossible to obtain by using techniques developed for two-player zero-sum MGs. In this paper, we introduce a new definition of $\\epsilon$-Nash equilibrium in MGs which grasps the strategy's quality for multiplayer games. We prove that minim","authors_text":"Bilal Piot, Florian Strub, Julien P\\'erolat, Olivier Pietquin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-06-28T14:14:14Z","title":"Learning Nash Equilibrium for General-Sum Markov Games from Batch Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08718","kind":"arxiv","version":4},"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":"sha256:8fffeed0286ad5916d5aed85915066d007fd16794d9c23adca2761d7b23b32e8","target":"record","created_at":"2026-05-18T00:49:32Z","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":"a851ad5585b7336ef07e45ebd15bacceb3ba6ff22ca8a3c9b17596de8f18a937","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-06-28T14:14:14Z","title_canon_sha256":"0f751c8bc11388a2f488409dfd1c4b2c44fedba5b6d0d6bd1392019587d44777"},"schema_version":"1.0","source":{"id":"1606.08718","kind":"arxiv","version":4}},"canonical_sha256":"90c7c27089f3d9cf6d084e21031980f96073b634790d4e3b7f96af2f0cb02789","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90c7c27089f3d9cf6d084e21031980f96073b634790d4e3b7f96af2f0cb02789","first_computed_at":"2026-05-18T00:49:32.409428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:32.409428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kg8Y2ediXXtcw6BuZxZZjX3rkn4QN7Z/ePKaWdYvj6xe96O1ypSh+2mDvUNnDh2Zedp07bsgbPqahJH7X0ZECA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:32.410063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08718","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fffeed0286ad5916d5aed85915066d007fd16794d9c23adca2761d7b23b32e8","sha256:1279a50147e4b38a85b7292fb921e094c18242918b0ec02e6e15d574fd47dc2e"],"state_sha256":"13e75f18f6f4b426636bc6cf45639dc8ff550c44aa3cc92bf3c91fc5b80386e7"}