We present a result on convexity and weak compactness of the range of a vector measure with values in a Banach space, based on the Maharam classification of measure spaces. Our result extends a recent result of Khan and Sagara [Illinois Journal of Mathematics, forthcoming].

We present a result on convexity and weak compactness of the range of a vector measure with values in a Banach space, based on the Maharam classification of measure spaces. Our result extends a recent result of Khan and Sagara [Illinois Journal of Mathematics, forthcoming].

We present a result on convexity and weak compactness of the range of a vector measure with values in a Banach space, based on the Maharam classification of measure spaces. Our result extends a recent result of Khan and Sagara [Illinois Journal of Mathematics, forthcoming].

The purpose of this paper is to give another definition of the superposition integral by using another kind of reasoning. In particular we define it as a generalization of the Bochner integral. We shall see it in section 2 and the superposition integral in section 3.

This paper analyzes a model of decision under ambiguity, deemed vector expected utility or VEU. According to the proposed model, an act f, mapping states of nature to prizes, is evaluated via the sum of (1) a baseline expected-utility term, and (2) an ambiguity-adjustment term. The adjustment...