The mean-variance methodology for the portfolio selection problem, originally proposed by Markowitz, has been one of the most important research fields in modern finance. In this paper we will assume that (i) each investor can assign a welfare, or utility, score to competing investment...

We present some formal systems in the language of linearly ordered rings with finite sets whose nonlogical axioms are strictly mathematical, which correspond to polynomially bounded arithmetic. With an additional strictly mathematical axiom, the systems correspond to exponentially bounded arithmetic

In this paper we provide axiomatic characterizations of what we call the preference for the freedom of optimal choice, which ranks feasible sets according to the number of best elements it contains with respect to a given binary relation. In a final section of this paper, we provide an axiomatic...

We present in this paper a brief survey of the current research and development trends related to rigorous distributed object based software development. The topics covered here range from programming language design and implementation to software development methods, techniques and tools.Este...

I replace the assumption of individual optimization, common in economic literature, by an assumption that an individual executes a computational algorithm directed at finding the choice that is good at the time the choice is made. The general properties of such algorithm are studied

The main goal of this paper is to explicate and explain connections between neoclassical analysis and fuzzy set theory. To this goal, we consider here fuzzy sets of derivatives and intuitionistic fuzzy sets of derivatives of real functions. Neoclassical analysis may be treated as a new direction...

The efforts of the World Wide Web Consortium in defining and recommending the adoption of an extensible markup language, XML, and a document object model, DOM, have been received with enthusiasm by the software development community. These recommendations have been continuously adopted,...

This paper will demonstrates the existence of primitive polynomials of degree with prescribed consecutive coefficients in the finite field for all sufficiently large odd = such that < , and < (1/2 − ε) − 1

We present a numerical analysis of an implicit time discretization method applied to Richards' equation. Written in its saturation-based form, this nonlinear parabolic equation models water flow into unsaturated porous media. Depending on the soil parameters, the diffusion coefficient may vanish...

Let be a proper cone in , let be an × real matrix that satisfies , let be a given vector of , and let λ be a given positive real number. The following two linear equations are considered in this paper: (i) (λ — ) = , ∈ , and (ii) ( — λ) = , ∈ . We obtain several equivalent conditions...