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pith:GGER52VG

pith:2026:GGER52VGT3ZRWRQXEN6THGOJTW

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Competition between private and expressed opinions in binary choice: the $\alpha$-EPO $q$-voter model

Arkadiusz Lipiecki, Barbara Kami\'nska, Barbara Nowak, Katarzyna Sznajd-Weron

The α-EPO q-voter model shows that self-anticonformity makes collective agreement robust to the probability of updating private versus expressed opinions.

arxiv:2601.18895 v4 · 2026-01-26 · physics.soc-ph

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Claims

C1strongest claim

Comparing the two model variants, we show that the collective outcome controlled by α strongly depends on self-anticonformity: with self-anticonformity the results are robust to α, whereas without it α shifts the agreement-disagreement threshold and can change the type of phase transition.

C2weakest assumption

The pair approximation and mean-field derivations assume that the network is either fully connected or has a well-defined average degree k, and that higher-order correlations beyond pairs can be neglected; this may fail on real organizational networks with strong community structure.

C3one line summary

The α-EPO q-voter model shows that update probability α between private and expressed opinions shifts agreement thresholds and hysteresis width, with effects that depend strongly on whether self-anticonformity is present.

References

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[1] act then think

[2] We use two types of initial conditions: ordered,c S(0) =c σ (0) =1, and random, wherec S(0) = cσ (0) =1/2 2000

[3] Model with self-anticonformity Below we simplify the mean-field equations for the sta- tionary states for the model with self-anticonformity. c↑↑ =c σ (1−α) [1−(1−p)(1−c S)q] +c ↑↑α[1−p/2−(1−p)(1−c S)

[4] 1−(1−p) k↑↑ +k ↑↓ !(k−q)! k↑↑ +k ↑↓ −q !k! 1k↑↑+k↑↓⩾q # , (38) f ↓↑→↓↓ (κ) =α(1−p) k↓↑ +k ↓↓ !(k−q)! k↓↑ +k ↓↓ −q !k! 1k↓↑+k↓↓⩾q + 1 2 αp,(39) f ↓↑→↑↑ (κ) = (1−α) × 2023

[5] Kuran, Preference Falsification, Policy Continuity and Col- lective Conservatism, The Economic Journal97, 642 (1987) 1987

Formal links

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Receipt and verification

First computed	2026-05-17T23:39:04.498531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31891eeaa69ef31b4617237d3399c99da9d7e0d2556de682e311f233ea3e1f16

Aliases

arxiv: 2601.18895 · arxiv_version: 2601.18895v4 · doi: 10.48550/arxiv.2601.18895 · pith_short_12: GGER52VGT3ZR · pith_short_16: GGER52VGT3ZRWRQX · pith_short_8: GGER52VG

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/GGER52VGT3ZRWRQXEN6THGOJTW \
  | jq -c '.canonical_record' \
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# expect: 31891eeaa69ef31b4617237d3399c99da9d7e0d2556de682e311f233ea3e1f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27253ae0ad7294205135a136f958c6a06aa4c974871e155efaa94a7603659ae7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-01-26T19:07:20Z",
    "title_canon_sha256": "04ea86869f798afdc84e79e81a38f91451b3a5bef3a2dad2e786f1a285b9dc14"
  },
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  "source": {
    "id": "2601.18895",
    "kind": "arxiv",
    "version": 4
  }
}