The Comonotonic Sure-Thing Principle


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volume 12, issue 1 pp 7-28.
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This article identifies the common characterizing property, the comonotonic sure-thing principle, that underlies the rank-dependent direction in non-expected utility. This property restricts Savage's sure-thing principle to comonotonic acts, and is characterized in full generality by means of a new functional form—cumulative utility—that generalizes the Choquet integral. Thus, a common generalization of all existing rank-dependent forms is obtained, including rank-dependent expected utility, Choquet expected utility, and cumulative prospect theory.



Keywords


Automatically Extracted Terms
  • comonotonic
  • outcome
  • utility
  • comonotonic independence
  • wakker
  • independence
  • representation
  • theorem
  • continuity
  • partition
  • event
  • equivalent
  • condition
  • monotonicity
  • lemma
  • theory
  • principle
  • proof
  • sure-thing
  • function