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pith:D3AOF3LZ

pith:2026:D3AOF3LZKO63M3F7IX37ZMXWBS
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Learning to Persuade a Biased Receiver

Milind Tambe, Sadie Zhao, Yiling Chen, Yuqi Pan

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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3 Author claim open · sign in to claim
4 Citations open
5 Replications open
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Claims

C1strongest claim

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.

C2weakest assumption

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.

C3one line summary

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

47 extracted · 47 resolved · 1 Pith anchors

[1] Robert J Aumann, Michael Maschler, and Richard E Stearns.Repeated games with incomplete information. MIT press, 1995 1995
[2] Over-and underreaction to information: Belief updating with cognitive constraints 2025
[3] Markov persuasion processes: Learning to persuade from scratch.arXiv preprint arXiv:2402.03077, 2024 2024
[4] A meta-analysis of the weight of advice in decision-making.Current Psychology, 42(28): 24516–24541, 2023 2023
[5] The base-rate fallacy in probability judgments.Acta Psychologica, 44(3): 211–233, 1980 1980
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

arxiv: 2605.15331 · arxiv_version: 2605.15331v1 · doi: 10.48550/arxiv.2605.15331 · pith_short_12: D3AOF3LZKO63 · pith_short_16: D3AOF3LZKO63M3F7 · pith_short_8: D3AOF3LZ
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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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    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-14T18:54:38Z",
    "title_canon_sha256": "12dfb11bd00188d03c973079b15126d34e3db6db0726ec8e04db99f0a9cf5429"
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  "source": {
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    "kind": "arxiv",
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