Clustering U.S. 2016 presidential candidates through linguistic appraisals

Producción CientíficaThe main purpose of this paper is to cluster the United States (U.S.) 2016 presidential candidates taking the linguistic appraisals made by a random representative sample of adults living in the U.S. as our starting point. To do this, we have used the concept of ordinal proximity measure (see García-Lapresta and Pérez-Román), which allows to determine the degree of consensus in a group of agents when a set of alternatives is evaluated through non-necessarily qualitative scales.Ministerio de Economía, Industria y Competitividad (project ECO2016-77900-P

Election by Majority Judgement: Experimental Evidence

Le jugement majoritaire est une méthode d'élection. Cette méthode est l'aboutissement d'une nouvelle théorie du choix social où les électeurs jugent les candidats au lieu de les ranger. La théorie est développée dans d'autres publications ([2, 4]). Cet article décrit et analyse des expériences électorales conduites pendant les deux dernières élections présidentielles françaises dans plusieurs buts: (1) démontrer que le jugement majoritaire est une méthode pratique, (2) la décrire et établir ses principales propriétés, (3) démontrer qu'elle échappe aux paradoxes classiques, et (4) illustrer comment dans la pratique tous les mécanismes de vote connus violent certains critères importants. Les démonstrations utilisent des concepts et méthodes nouveaux.

Judge:Don't Vote!

This article explains why the traditional model of the theory of social choice misrepresents reality, it cannot lead to acceptable methods of ranking and electing in any case, and a more realistic model leads inevitably to one method of ranking and electing—majority judgment—that best meets the traditional criteria of what constitutes a good method.Arrow's paradox ; Condorcet's paradox ; Majority judgment ; Skating ; Social choice ; Strategic manipulation ; Voting

The Hirsch Conjecture for Dual Transportation Polyhedra

An algorithm is given that joins any pair of extreme points of a dual transportation polyhedron by a path of at most (m-1) (n-1) extreme edges

Monotonic Incompatibility Between Electing and Ranking

Borda a proposé une méthode qui attribue des points à chacun des m candidats. Condorcet a proposé une méthode qui attribue des points à chacun des différents m! classements des candidats. La première est plus appropriée pour élire. La seconde est plus appropriée pour classer. Chacune satisfait une certaine monotonie. Leurs monotonies sont incompatiblesChoix social, Borda, Condorcet, monotonie, incompatibilité, élire, classer.

The Theory of Apportionment

A key problem area at IIASA is the study of how goods and resources -- as well as "bads" such as costs, pollution, and risks -- can or should be shared among different nations, groups, or individuals. This raises the question of what is meant by a fair division -- and, if this question can be answered at all, how fair divisions can be achieved. One of the situations studied in the System and Decision Sciences Area was how to allocate or "apportion" discrete entities in proportion to predetermined claims, a problem which encompasses many situations including for example the apportionment of political representation among different regions and constituencies. The result of this study was the development of a general theory to deal with such problems, together with concrete criteria of fairness which will hopefully prove useful to analyzing larger classes of problems