- uncertainty, complexity and rank. First, the concept of epistemic uncertainty is sufficient for modeling and the concept of … model rank, as the Cowles Foundation erroneously prescribed in the early 1950s, and superimposing that model rank on the … data, when a model is estimated. But the model rank does not have to be presumed: it can be identified from the data and …

A novel algorithm is developed for the problem of finding a low-rank correlation matrix nearest to a given correlation … within a fixed computational time. The problem of rank reduction of correlation matrices occurs when pricing a derivative …

Geometric optimisation algorithms are developed that efficiently find the nearest low-rank correlation matrix. We show … nearest low-rank correlation matrix occurs as part of the calibration of multi-factor interest rate market models to …

excess leverage and excess capital stock and also reveal signs of corporate inertia. This inertia has been evident not only …

repeated games if a full dimensionality condition holds. A critical feature of the model is the inertia in decisions. We show … how the inertia in asynchronous decisions determines the set of equilibrium payoffs. …

economical inequality that shall be overcome to prepare the world market era. This paper suggests on making such a preparation by … consumption on luxurious goods for the rich, and higher the economical equality for the poor. This will be far from spoiling the …