Pith Number

pith:ZOPBLPKJ

pith:2025:ZOPBLPKJIF3VUGD53W4I2W3XWQ

not attested not anchored not stored refs pending

Dynamic Non-Bayesian Persuasion

Masanori Kobayashi

Divisibility of a receiver's updating rule determines when a sender gains nothing from dynamic rather than static persuasion.

arxiv:2508.12328 v3 · 2025-08-17 · econ.TH

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\pithnumber{ZOPBLPKJIF3VUGD53W4I2W3XWQ}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

Under mild regularity conditions, divisibility characterizes the receiver's updating rules under which the sender is indifferent between static and dynamic persuasion in any environment.

C2weakest assumption

The paper assumes that the sender can commit to a sequence of experiments whose joint distribution is known to the receiver in advance and that the receiver's updating rule satisfies the stated mild regularity conditions that make the characterization hold.

C3one line summary

Divisibility of updating rules characterizes when senders are indifferent between static and dynamic persuasion for non-Bayesian receivers under mild conditions.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Learning to Persuade a Biased Receiver

Receipt and verification

First computed	2026-06-09T01:05:08.831272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9e15bd4941775a187dddb88d5b77b43cfaf382af9d7e54b09f4add37e02aa5

Aliases

arxiv: 2508.12328 · arxiv_version: 2508.12328v3 · doi: 10.48550/arxiv.2508.12328 · pith_short_12: ZOPBLPKJIF3V · pith_short_16: ZOPBLPKJIF3VUGD5 · pith_short_8: ZOPBLPKJ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZOPBLPKJIF3VUGD53W4I2W3XWQ \
  | 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: cb9e15bd4941775a187dddb88d5b77b43cfaf382af9d7e54b09f4add37e02aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb5b42ac707175fa7f87519942f1e6712b7f485262ae232d71218796d4fb0ce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2025-08-17T10:56:18Z",
    "title_canon_sha256": "46fef9664c534dfcb6df5b1f740a92cb9bd883e8a7622731c3cfadde5c301f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12328",
    "kind": "arxiv",
    "version": 3
  }
}