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Context-sensitive norm enforcement reduces sanctioning costs in spatial public goods games

Author

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  • Lee, Hsuan-Wei
  • Cleveland, Colin
  • Szolnoki, Attila

Abstract

Uniform punishment policies can sustain cooperation in social dilemmas but impose severe costs on enforcers, creating a second-order free-rider problem that undermines the very mechanism designed to prevent exploitation. We show that the remedy is not a harsher stick but a smarter one. In a four-strategy spatial public-goods game we pit conventional punishers, who levy a fixed fine, against norm-responsive punishers that double both fine and cost only when at least half of their current group already cooperates. Extensive large scale Monte Carlo simulations on lattices demonstrate that context-sensitive punishment achieves complete defector elimination at fine levels 15% lower than uniform enforcement, despite identical marginal costs per sanctioning event. The efficiency gain emerges because norm-responsive punishers conserve resources in defector-dominated regions while concentrating intensified sanctions at cooperative-defector boundaries, creating self-reinforcing fronts that amplify the spread of prosocial behavior. These findings reveal that enforcement efficiency can be dramatically improved by targeting punishment at cooperative-defector interfaces rather than applying uniform sanctions, offering quantitative guidelines for designing adaptive regulatory mechanisms that maximize compliance while minimizing institutional costs.

Suggested Citation

  • Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2026. "Context-sensitive norm enforcement reduces sanctioning costs in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 508(C).
  • Handle: RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003522
    DOI: 10.1016/j.amc.2025.129626
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    References listed on IDEAS

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