I summarize and extend my results establishing that limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium and for the compactness of the Pareto frontier.

Equilibrium conditions in smooth infinite economies with separable utilities are described by Fredholm maps, which are Frechet differentiable. Therefore, Smale's extension of Sard's theorem can be used to studying infinite economies. We study structural stability and local uniqueness of...

This paper deals with the design of Monte Carlo experiments in the context of cointegrated VAR models.

I study connected manifolds in this paper. This include finite and infinite dimensional manifolds.

This paper formulates a conformity test for cointegration for a multivariate I(1) process obeying a VAR specification. The test statistic is a function of the characteristic roots of the sample covariance matrix of the cointegral vector; the latter is obtained from the unrestricted estimation of...