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Pith Number

pith:JTDISI2V

pith:2026:JTDISI2V4VNLVFB6M4723YR4CM
not attested not anchored not stored refs pending

Fast Rates in $\alpha$-Potential Games via Regularized Mirror Descent

Claire Chen, Yuheng Zhang

Offline Potential Mirror Descent achieves an accelerated Õ(1/n) rate for learning Nash equilibria in α-potential games.

arxiv:2605.00268 v2 · 2026-04-30 · cs.GT

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\pithnumber{JTDISI2V4VNLVFB6M4723YR4CM}

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2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

OPMD achieves an accelerated Õ(1/n) statistical rate, surpassing the standard Õ(1/√n) rate typical of offline multi-agent learning, and characterizes the first fast-rate offline learning approach for α-potential games.

C2weakest assumption

The novel Reference-Anchored offline data coverage condition holds and can be verified using a known reference policy rather than the unknown optimum.

C3one line summary

OPMD achieves the first fast Õ(1/n) rate for offline Nash equilibrium learning in α-potential games via a new reference-anchored coverage framework.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-05-20T00:04:33.211088Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4cc6892355e55aba943e673fade23c133ed99b59e8e76902b0e9c4b1b6f040e9

Aliases

arxiv: 2605.00268 · arxiv_version: 2605.00268v2 · doi: 10.48550/arxiv.2605.00268 · pith_short_12: JTDISI2V4VNL · pith_short_16: JTDISI2V4VNLVFB6 · pith_short_8: JTDISI2V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JTDISI2V4VNLVFB6M4723YR4CM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4cc6892355e55aba943e673fade23c133ed99b59e8e76902b0e9c4b1b6f040e9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6de582e0ca74916f1410fe3113a50974eb7c43f79581b4828e6d2f61bb3053c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-04-30T22:04:34Z",
    "title_canon_sha256": "52ab3417deba835c6a89a8fbf9bbfa00fef008db98347794be603f80cf836e6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00268",
    "kind": "arxiv",
    "version": 2
  }
}