In this paper, I first prove an integral representation theorem: Every quasi-integral on a Stone lattice can be represented by a unique upper-continuous capacity. I then apply this representation theorem to study the topological structure of the space of all upper-continuous capacities on a...

This paper explains how the Gibbs sampler can be used to perform Bayesian inference on GARCH models. Although the Gibbs sampler is usually based on the analytical knowledge of the full conditional posterior densities, such knowledge is not available in regression models with GARCH errors. We...

The appearance of the normal density remained unexplained in Mertens and Zamir's proof: it appeared there as the solution of a differential equation. Our proof however justifies this normal density as a consequence of a generalisation of the CLT discussed in the second part of this paper.

In this paper I consider social choices under uncertainty. I prove that any social choice rule that satisfies independence of irrelevant alternatives, translation invariance, and weak anonymity is consistent with ex post Bayesian utilitarianism.

The notion of disapprobation is defined. It is designed to capture some features of misspecification in a decision-theoretic framework. Moreover, it is a sample-based notion so it is well-suited for the study of misspecification in Bayesian contexts. Some elementary examples of disapprobation...

In Van den Akker, Van Hoesel, and Savelsbergh (1994), we have studied a time-indexed formulation for single-machine scheduling problems and have presented a complete characterization of all facet inducing inequalities with right-hand side 1 and 2 for the convex hull of the monotone extension of...