This paper puts forth a concept of Adptivety Rational Equilibrium (A.R.E) where agents base decisions upon predictions of future values of endogenous variables whose actual values are determined by equilibrium equations.

The relevance of the Borel paradox to Bayesian Synthesis is explained and illustrated by examples related to the assessment of bowhead whales. It is argued that the paradox is a serious, and that if conditions for the paradox to be of minor concern are observed, the attraction of the Bayesian...

The study of the distribution of real roots of a polynominal with random coefficients, which traces back at least to [BP32], has recently been developed in the direction of multivariate systems. This paper studies the more general case of mixed multihomogeneous systems.

In this paper, we study almost periodic (a.p.) solutions of discrete dynamical systems. We first adapt some results on a.p. differential equations to a.p. difference equations, on the link between boundedness of solutions and existence of a.p. solutions.

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...