Continua of Stochastic Dominance Relations for Bounded Probability Distributions.

摘要

Notions of first degree and second degree stochastic dominance in decision making under risk have been developed and used for more than a decade. This report extends these notions to Alpha-degree stochastic dominance for every real number Alpha equal to or greater than unity. The extensions are accomplished using a standard version of fractional integral, and classes of utility functions that are congruent with the stochastic dominance relations are identified. (Author)