{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:P6IZNDBXXEEVKCKQRN32TEFWQW","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":"5d45361c235e4e0800f50838e185e337636c87ac12fbf6baf98d610ced2f5674","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-02-10T21:55:33Z","title_canon_sha256":"33310dfed712954804b39f492c0af8ba1ed60e2a7a63b0c595ca75379edbbe01"},"schema_version":"1.0","source":{"id":"1902.03676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.03676","created_at":"2026-05-17T23:54:19Z"},{"alias_kind":"arxiv_version","alias_value":"1902.03676v1","created_at":"2026-05-17T23:54:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03676","created_at":"2026-05-17T23:54:19Z"},{"alias_kind":"pith_short_12","alias_value":"P6IZNDBXXEEV","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"P6IZNDBXXEEVKCKQ","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"P6IZNDBX","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:ae8a0054898a1c3a99b7cd8dcc1be6420555124a045b7dcbf66b8875ab380509","target":"graph","created_at":"2026-05-17T23:54:19Z","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 consider zero-sum repeated games in which the players are restricted to strategies that require only a limited amount of randomness. Let $v_n$ be the max-min value of the $n$ stage game; previous works have characterized $\\lim_{n\\rightarrow\\infty}v_n$, i.e., the long-run max-min value. Our first contribution is to study the convergence rate of $v_n$ to its limit. To this end, we provide a new tool for simulation of a source (target source) from another source (coin source). Considering the total variation distance as the measure of precision, this tool offers an upper bound for the precisio","authors_text":"Amin Gohari, Mehrdad Valizadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-02-10T21:55:33Z","title":"Playing Games with Bounded Entropy: Convergence Rate and Approximate Equilibria"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03676","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":"sha256:8fd7c0d9ebac3c9a2180155eafbe4ffd7c67c55c95d91c233745e27f5989db9a","target":"record","created_at":"2026-05-17T23:54:19Z","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":"5d45361c235e4e0800f50838e185e337636c87ac12fbf6baf98d610ced2f5674","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-02-10T21:55:33Z","title_canon_sha256":"33310dfed712954804b39f492c0af8ba1ed60e2a7a63b0c595ca75379edbbe01"},"schema_version":"1.0","source":{"id":"1902.03676","kind":"arxiv","version":1}},"canonical_sha256":"7f91968c37b9095509508b77a990b685951b347c342bb18b3b54fe676a17fd10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f91968c37b9095509508b77a990b685951b347c342bb18b3b54fe676a17fd10","first_computed_at":"2026-05-17T23:54:19.957016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:19.957016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1vrJYVU/vwnAp7ln/2E2qQRc1ADZEgNdr0VNH+4gDg7TXEk1lyujTpngV0kbORfdJOhQGGOagoXfJGyPoTxyBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:19.957943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.03676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fd7c0d9ebac3c9a2180155eafbe4ffd7c67c55c95d91c233745e27f5989db9a","sha256:ae8a0054898a1c3a99b7cd8dcc1be6420555124a045b7dcbf66b8875ab380509"],"state_sha256":"644486750e59dca710c34582208be66dc30ded93dc2e275d5fa4161abe571fba"}