Representation of preference relations on sigma-algebras of nonatomic measure spaces: Convexity and continuity

Abstract

The paper shows how preference relations on sigma-algebras can be represented by means of nonadditive set functions that satisfy appropriate requirements of convexity and continuity on sigma-algebras.

Keywords

• Representation
• preference
• relations
• sigma-algebras
• nonatomic
• measure
• spaces
• Convexity
• continuity