TL;DR: In this paper, the long-run preferences are assumed to be acyclic and a unique long run choice from a compact set is globally stable, if the longrun choice set includes multiple choices, there is a weaker stability property.
TL;DR: In this paper, the generalized choice sequence is used to describe the structure of a n×n block-matrix by the use of a sequence of free parameters, which can be viewed as an adaptation of some ideas from the classical paper of I.Schur [15].
Abstract: The present paper has three sections. In the first one, we describe the structure of a n×n block-matrix by the use of a sequence of free parameters (called here generalized choice sequence). This parametrization can be viewed as an adaptation of some ideas from the classical paper of I.Schur [15]. In the second section we give a representation of the Kolmogorov decomposition of a positive-definite kernel on Z in terms of its generalized choice sequence.