Cited by 9Experimental Behavioral Economics StudiesEvolutionary Game Theory and CooperationGame Theory and Applications

The cost of noise: Stochastic punishment falls short of sustaining cooperation in social dilemma experiments

Open access
Salahshour, Mohammad, Oberhauser, Vincent, Smerlak, Matteo·2022·PLOS ONE

Abstract

Identifying mechanisms able to sustain costly cooperation among self-interested agents is a central problem across social and biological sciences. One possible solution is peer punishment: when agents have an opportunity to sanction defectors, classical behavioral experiments suggest that cooperation can take root. Overlooked from standard experimental designs, however, is the fact that real-world human punishment—the administration of justice—is intrinsically noisy. Here we show that stochastic punishment falls short of sustaining cooperation in the repeated public good game. As punishment noise increases, we find that contributions decrease and punishment efforts intensify, resulting in a 45% drop in gains compared to a noiseless control. Moreover, we observe that uncertainty causes a rise in antisocial punishment, a mutually harmful behavior previously associated with societies with a weak rule of law. Our approach brings to light challenges to cooperation that cannot be explained by economic rationality and strengthens the case for further investigations of the effect of noise—and not just bias—on human behavior.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1371/journal.pone.0263028

Cites

63 of 63 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Altruistic punishment is ineffective when the possibility arises for punishing the cooperators.

    “As far as altruistic punishment is concerned, it is ineffective when the possibility arises for punishing the cooperators, e.g., due to bribery42 or imperfect information43.”

    From Cooperation without punishment (2023) · cites this paper as [43]

    The Results (Punishment patterns: The rise of antisocial punishment; page unavailable) report that noisy punishment increased punishment of higher contributors and that antisocial punishment was associated with lower contributions. The Introduction says punishment can lose its meaning under sanctioning noise and notes that these findings align with a separate experiment involving inaccurate information. This paper supports the general concern, but its own experiment varied punishment outcomes, not the information available about cooperators. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 1

  1. [3]Olson M. The Logic of Collective Action. Harvard University Press; 1965.

Cited by

Sorted by citations

Authors
Salahshour, M., Oberhauser, V., & Smerlak, M.
Affiliations
Max Planck Institute for Mathematics in the Sciences (DE)
Corresponding author
Smerlak, Matteo
Venue
PLOS ONE
Published
2022-03-02
Volume
17
Issue
3
Pages
e0263028
ISSN
1932-6203 (ISSN-L)
OpenAlex
W4220748185
Cited by
9
References
61
Citations by year
2026: 2 · 2025: 1 · 2024: 2 · 2023: 2 · 2022: 1 · 2021: 1
FWCI
1.74
Type
journal article
Language
en
Open access
Locations
  • PLoS ONE (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • Zurich Open Repository and Archive (University of Zurich) (submittedVersion, cc-by)
  • arXiv (Cornell University) (cc-by)
Funders
Alexander von Humboldt-Stiftung (Sofja Kovalevskaja Award)
Topics
  • Social Sciences › Safety Research › Experimental Behavioral Economics Studies
  • Social Sciences › Sociology and Political Science › Evolutionary Game Theory and Cooperation
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Game Theory and Applications
Keywords
costly cooperation, peer punishment, antisocial punishment, rule of law, uncertainty, social dilemmas
MeSH terms
Cooperative Behavior, Game Theory, Humans, Punishment, Stochastic Processes

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review