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Formation of an index of economic capacity in Barcelona.

Tomàs Aluja Banet (1994)

Qüestiió

This study presents an evaluation of the economic capacity for the year 1988 of each of the 1919 censual sections that Barcelona is divided into. In view of the confidential nature of all information concerning incomes and resources, we have employed an indirect method of estimation using all the territorial information available at the highest level of disaggregation, that is the censual sections. This evaluation gathers variable indicators of income distribution and wealth, and without being exacly...

Formes et propriétés des indices d'inégalité entre proportions

Antoine Valeyre (1995)

Mathématiques et Sciences Humaines

Cet article porte sur les indicateurs qui permettent de comparer les inégalités de proportions entre deux catégories. Après avoir précisé les propriétés qui caractérisent la définition d'indices d'inégalité entre deux proportions, il analyse celles qu'il est souhaitable de leur appliquer, notamment les propriétés de cohérence ou d'homogénéité dont il montre l'incompatibilité. Il examine différents modes de construction d'indices d'inégalité : à partir de mesures, de distances, de caractéristiques...

Four different approaches to the normalized Banzhaf values of games with a priori unions

Honorata Sosnowska (2006)

Banach Center Publications

Applying the Owen construction of value of games with a priori unions to the normalized Banzhaf value gives a new type of the normalized Banzhaf value for games with a priori unions. Using a simple example of a four-person voting game with a priori unions, it is shown that this value is different from those known in the literature: the normalized Owen-Banzhaf value, the Banzhaf share function defined by van der Laan and van den Brink and the Banzhaf index for simple games with a priori unions introduced...

Fractional virus epidemic model on financial networks

Mehmet Ali Balci (2016)

Open Mathematics

In this study, we present an epidemic model that characterizes the behavior of a financial network of globally operating stock markets. Since the long time series have a global memory effect, we represent our model by using the fractional calculus. This model operates on a network, where vertices are the stock markets and edges are constructed by the correlation distances. Thereafter, we find an analytical solution to commensurate system and use the well-known differential transform method to obtain...

From isotonic Banach functionals to coherent risk measures

Zbigniew Dudek (2001)

Applicationes Mathematicae

Coherent risk measures [ADEH], introduced to study both market and nonmarket risks, have four characteristic properties that lead to the term “coherent” present in their name. Coherent risk measures regarded as functionals on the space L ( Ω , , ) have been extensively studied [De] with respect to these four properties. In this paper we introduce CRM functionals, defined as isotonic Banach functionals [Al], and use them to characterize coherent risk measures on the space L ( Ω , , ) as order opposites of CRM functionals....

Funciones de utilidad-compromiso: hipótesis, teorema fundamental y un caso estudio

Enrique Ballestero, Paloma Ballbé, David Plá-Santamaría (1998)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Hasta ahora, la teoría de la utilidad y la programación compromiso (CP) se han considerado como diferentes paradígmas y metodologías para medir preferencias así como para determinar una decisión óptima sobre una frontera eficiente. Sin embargo, en este artículo demostramos que una función de utilidad con independencia aditiva (expandida alrededor del punto ideal) es reducible a la suma ponderada de las distancias CP conmetricas desde 1 a infinito. Este enlace entre utilidad y compromiso se fundamenta...

Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing

E. A. Istomina (2009)

Mathematical Modelling of Natural Phenomena

This paper suggests models of the landscape complexes based on the theory of complex systems and category-functorial approach. With the use of the space Landsat images the existence of the Earth's landscape field is proved and criteria of its parameter characterization is suggested. The unity of spatiotemporal changes of the landscape units is substantiated.

Further results on neutral consensus functions

G. D. Crown, M.-F. Janowitz, R. C. Powers (1995)

Mathématiques et Sciences Humaines

We use a set theoretic approach to consensus by viewing an object as a set of smaller pieces called “bricks”. A consensus function is neutral if there exists a family D of sets such that a brick s is in the output of a profile if and only if the set of positions with objects that contain s belongs to D. We give sufficient set theoretic conditions for D to be a lattice filter and, in the case of a finite lattice, these conditions turn out to be necessary. Ourfinal result, which involves a finite...

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