Core of convex distortions of a probability

• 成果类型: Article
• 署名作者: Carlier, G; Dana, RA
• 署名单位: Universite PSL; Universite Paris-Dauphine; Universite de Bordeaux
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/S0022-0531(03)00122-4
• 发表日期: 2003
• 页码: 199-222
• 关键词: capacity; core; convex distortion; derivative and superdifferential of a Choquet integral

摘要

This paper characterizes the core of a differentiable convex distortion of a probability measure on a nonatomic space by identifying it with the set of densities which dominate the derivative of the distortion, for second order stochastic dominance. The densities that have the same distribution as the derivative of the distortion are the extreme points of the core. These results are applied to the differentiability of a Yaari's or Rank Dependent Expected utility function. The superdifferential of a Choquet integral at any point is fully characterized. Examples of use of these results in simple models where some agent is a RDEU maximizer are given. (C) 2003 Elsevier Science (USA). All rights reserved.