The Jordan Form of the VAR's Companion matrix is used for proving the equivalence between the statement that there are no jordan blocks of order two or higher in the Jordan matrix and the conditions of Granger's Representation Theorem for an I(1) series. Furthermore, a Diagonal polynomial matrix...

We prove the existence of symmetric pure Cournot equilibria with heterogeneous goods under the following condition: Each firm reacts to a rise in competitor's output in such a way that its market price does not rise.

This paper discusses the intellectual origins of the so-called 'new economic geography' and provides its basic insights by means of a streamlined framework which stresses the generality of their implications.

This paper develops statistical and computational tools for modelling returns forecasts to be used by a risk neutral investor. Any forecast with the same sign as the conditional mean optimises the loss function derived from this agents' decision problem, so the class of optimal predictors is...

We derive an approximation to the expectation of the likelihood tatio test for cointegration in the vector autoregressive model. The expression depends on moments of functions of random walk, which are tabulated by simulation, and functions of the parameters, which are estimated. From this...

Asymmetric kernels are quite useful for the estimation of density functions which have bounded support. Gamma kernels are designed to handle density functions whose supports are bounded from one end only, whereas beta kernels are particularly convenient for the estimation of density functions...

A brief overview is given of some problems in econometric model building. We discuss, by example, the concept of a time series, a random walk, and integrated variable and the notion of cointegration and common trends.

This article explains how changing many structural parameters by discrete amounts affect many variables of interest when we have no explicit expressions for the variables of interest in terms of the structural parameters. Although the matrix multiplying a vector of discrete changes in parameters...