The aim of this paper is to explore several features concerning the generalized marginal rate of substitution (GMRS)when the consumers utility maximization problem with several constraints is formulated as a quasi-concave programming problem. We show that a point satisfying the first order...

This paper provides a different proposal for ranking sets of alternatives in terms of a lexicographic rule. We discuss how intensity of preference over alternatives may affect an individual’s choice out of the available set of alternatives. We provide an axiomatic characterization of an...

The mechanical behavior of magnetic reading devices is mainly governed by compressible Reynolds equations when the air bearing modeling approximation is considered. First, the convection dominated feature motivates the use of a characteristics scheme adapted to steady state problems. Secondly, a...

For the calibration of the parameters in static and dynamic SABR stochastic volatility models, we propose the application of the GPU technology to the Simulated Annealing global optimization algorithm and to the Monte Carlo simulation. This calibration has been performed for EURO STOXX 50 index...

In this work we propose a highly optimized version of a simulated annealing (SA) algorithm adapted to the more recently developed graphic processor units (GPUs). The programming has been carried out with compute unified device architecture (CUDA) toolkit, specially designed for Nvidia GPUs. For...