A modern market economy is an exceedingly complex, infinite-dimensional, stochastic dynamical system. The failure of mainstream economists to characterize its dynamics may well be due to its intractability. This paper argues that the characterization of its dynamics becomes almost trivial when...

This paper evaluates the time-varying degrees of weak-form efficiency of the crude oil markets using the Modified Shannon Entropy (MSE) and the Symbolic Time Series Analysis (STSA) approach. Using daily data from May 20, 1987 to March 6, 2012 for two worldwide crude oil benchmarks (West Texas...

We highlight the potentiality of a special Information Theory (IT) approach in order to unravel the intricacies of nonlinear dynamics, the methodology being illustrated with reference to the logistic map. A rather surprising dynamic feature→plane-topography map becomes available.

We describe an algorithm to efficiently compute maximum entropy densities, i.e. densities maximizing the Shannon entropy - [image omitted]  under a set of constraints [image omitted] . Our method is based on an algorithm by Zellner and Highfield, which has been found not to converge under a...

This paper evaluates the time-varying degrees of weak-form efficiency of the crude oil markets using the Modified Shannon Entropy (MSE) and the Symbolic Time Series Analysis (STSA) approach. Using daily data from May 20, 1987 to March 6, 2012 for two worldwide crude oil benchmarks (West Texas...

We develop a dynamic framework to identify aggregate market fears ahead of a major market crash through the skewness premium of European options. Our methodology is based on measuring the distribution of a skewness premium through a q-Gaussian density and a maximum entropy principle. Our...