pith:JTDISI2V
Fast Rates in $\alpha$-Potential Games via Regularized Mirror Descent
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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Claims
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.
The novel Reference-Anchored offline data coverage condition holds and can be verified using a known reference policy rather than the unknown optimum.
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.
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| 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
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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
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