Asymptotic density and social choice trade-offs

Donald E. Campbell, Jerry S. Kelly

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Arrow proved that a social welfare function with transitive values cannot simultaneously satisfy independence of irrelevant alternatives, the Pareto criterion, and non-dictatorship. We use asymptotic density to determine bounds on the trade-off between violations of the Pareto criterion and violations of non-dictatorship when the set X of outcomes is countably infinite.

Original languageEnglish (US)
Pages (from-to)181-194
Number of pages14
JournalMathematical social sciences
Issue number3
StatePublished - Jun 1995


  • Asymptotic density
  • Non-dictatorship
  • Pareto
  • Trade-off

ASJC Scopus subject areas

  • Sociology and Political Science
  • General Social Sciences
  • General Psychology
  • Statistics, Probability and Uncertainty


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