Exact capacities and star-shaped distorted probabilities

Zaier Aouani, Alain Chateauneuf

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We are interested in capacities which are deformations of probability, i.e. v = f {ring operator} P. We characterize balanced, totally balanced, and exact capacities by properties concerning the probability transformation function, f. These results allow us to obtain simple new characterizations of a large pattern of risk aversions relevant to Yaari's dual theory of choice under risk.

Original languageEnglish
Pages (from-to)185-194
Number of pages10
JournalMathematical social sciences
Issue number2
Publication statusPublished - Sep 2008


  • Balanced
  • Capacity
  • Exact
  • Risk aversion
  • Star-shaped function

ASJC Scopus subject areas

  • Sociology and Political Science
  • Social Sciences(all)
  • Psychology(all)
  • Statistics, Probability and Uncertainty

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