pith:D3AOF3LZ
Learning to Persuade a Biased Receiver
A sender can learn a receiver's fixed bias in belief updating through safe exploration while achieving O(log log T) regret against a full-information oracle.
arxiv:2605.15331 v1 · 2026-05-14 · cs.GT
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\pithnumber{D3AOF3LZKO63M3F7IX37ZMXWBS}
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Record completeness
Claims
For general finite state and action spaces and arbitrary bounded utilities, the safe exploration algorithm achieves O(log log T) regret relative to a full-information oracle that knows the receiver's biased updating rule, with a matching Omega(log log T) lower bound.
The receiver's bias parameter is fixed across all rounds and the only uncertainty is this single scalar; the model assumes the sender can perfectly observe the realized action after each signal but receives no other feedback.
A safe exploration algorithm learns an unknown receiver bias parameter in repeated information design and achieves O(log log T) regret with a matching lower bound.
References
Receipt and verification
| First computed | 2026-05-20T00:00:52.977414Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
1ec0e2ed7953bdb66cbf45f7fcb2f60ca0ab0975dc4541f6da8a7a23dbc6d5a1
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D3AOF3LZKO63M3F7IX37ZMXWBS \
| 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: 1ec0e2ed7953bdb66cbf45f7fcb2f60ca0ab0975dc4541f6da8a7a23dbc6d5a1
Canonical record JSON
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