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Fair majorities in proportional voting

František Turnovec (2013)

Kybernetika

In parliaments elected by proportional systems the seats are allocated to the elected political parties roughly proportionally to the shares of votes for the party lists. Assuming that members of the parliament representing the same party are voting together, it has sense to require that distribution of the influence of the parties in parliamentary decision making is proportional to the distribution of seats. There exist measures (so called voting power indices) reflecting an ability of each party...

Fast computation of the leastcore and prenucleolus of cooperative games

Joseph Frédéric Bonnans, Matthieu André (2008)

RAIRO - Operations Research

The computation of leastcore and prenucleolus is an efficient way of allocating a common resource among n players. It has, however, the drawback being a linear programming problem with 2n - 2 constraints. In this paper we show how, in the case of convex production games, generate constraints by solving small size linear programming problems, with both continuous and integer variables. The approach is extended to games with symmetries (identical players), and to games with partially continuous...

Feedback Nash equilibria in optimal taxation problems

Mikhail Krastanov, Rossen Rozenov (2009)

Open Mathematics

A well-known result in public economics is that capital income should not be taxed in the long run. This result has been derived using necessary optimality conditions for an appropriate dynamic Stackelberg game. In this paper we consider three models of dynamic taxation in continuous time and suggest a method for calculating their feedback Nash equilibria based on a sufficient condition for optimality. We show that the optimal tax on capital income is generally different from zero.

Forecasting return products in an integrated forward/reverse supply chain utilizing an ANFIS

D. Thresh Kumar, Hamed Soleimani, Govindan Kannan (2014)

International Journal of Applied Mathematics and Computer Science

Interests in Closed-Loop Supply Chain (CLSC) issues are growing day by day within the academia, companies, and customers. Many papers discuss profitability or cost reduction impacts of remanufacturing, but a very important point is almost missing. Indeed, there is no guarantee about the amounts of return products even if we know a lot about demands of first products. This uncertainty is due to reasons such as companies' capabilities in collecting End-of-Life (EOL) products, customers' interests...

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...

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 , ℱ , ℙ ) 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 , ℱ , ℙ ) 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...

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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