Summary
Community standards of decency, fairness, and reasonableness guide the termination of good faith and the regulation of speech. Interval aggregation via endpoint rules, grounded in single-peaked preferences, enables strategyproof, anonymous, and neutral judgment aggregation in changing social contexts.
Highlights
- Termination of good faith relies on community standards of decency and fairness.
- Obscene speech may be criminalized based on contemporary community standards.
- Endpoint rules aggregate interval judgments using the p,q-th endpoint method.
- Strategyproofness requires restrictions like single-peaked and generalized single-peaked preferences.
- Endpoint rules aggregate lower and upper endpoints independently, avoiding averaging.
- Translation equivariance ensures consistent shifts in aggregate intervals with individual changes.
- Median and maximal rules represent spectrum extremes of liberalism and democracy in judgment aggregation.
Key Insights
- Community standards provide flexible benchmarks for conduct and speech regulation, adapting as societal norms evolve, important for legal and social policy frameworks.
- Interval judgments offer a nuanced representation of individual opinions, allowing aggregation through endpoint rules rather than pointwise methods for consistent group decisions.
- The p,q-th endpoint rule constructs aggregate intervals from ordered individual endpoints, ensuring well-defined aggregation even without a median judgment.
- Strategyproofness, critical to preventing manipulation, is achieved via restricting preferences to single-peaked or generalized single-peaked types, connecting to classical social choice theory.
- Independent aggregation of lower and upper endpoints respects the interval structure and excludes averaging rules that could compromise strategyproofness.
- Translation equivariance guarantees that shifts in all individual intervals translate uniformly to the aggregate interval, preserving consistency under scaling or repositioning.
- The median and maximal endpoint rules frame a continuum between conservative and liberal decision-making, facilitating balance between inclusivity and consensus.
Mindmap
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Citation
Miller, A. D. (2025). The limits of tolerance (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2501.00578