How can we count and list all the Banzhaf or Shapley-Shubik index of power configurations for a given number of players? There is no formula in the literature that may give the cardinal of such a set, and moreover, even if this formula had existed, there is no formula which gives the...

When the number of players is small in a weighted majority voting game, it can occur that one of the players has no influence on the result of the vote, in spite of a strictly positive weight. Such a player is called a “dummy” player in game theory. The purpose of this paper is to...

The purpose of this paper is to analyze the apportionment of seats in intercommunal structures in the Val-d?Oise region. We compare the observed distribution of the seats to a theoretical one obtained with the Webster?s method (or Saint-Laguë?s method). This comparison is made using the most...

The new lru law (loi relative aux libertés et responsabilités des universités) changed the structure of power within the French university system. Prior to this law, the President of a university was elected by the members of three governing bodies: i) the board of directors, ii) the...

The aim of this article is to measure the power of the members of french universities boards of directors, power such as mentioned by the law relative to the liberties and the responsabilities of universities (in french, the ?LRU? law). We use tools from the cooperative game theory, and...

The spatial analysis of power indices is commonly used in the literature to study the importance of ideological criteria. Our purpose is to show, through the example of some french groupings of local cities, the importance of the geographical situation of the players when considering power...

In this paper, we compare the five more famous methods of apportionment, the methods of Adams, Dean, Hill, Webster and Jefferson. The criteria used for this comparison is the minimization of a distance between a power vector and a population vector. The power is measured with the well-known...

A classical problem in the power index literature is to design a voting mechanism such as the distribution of power of the different players is equal (or closer) to a pre established target. This tradition is especially popular when considering two tiers voting mechanisms: each player votes in...

L'objet de cet article est de mesurer le pouvoir des membres des conseils d'administration des universités françaises tel qu'il est défini par la loi relative aux libertés et responsabilités des universités (loi LRU). A l'aide d'outils issus de la théorie des jeux coopératifs, et en...

La loi LRU (loi relative aux libertés et responsabilités des universités) change la structure du pouvoir au sein des universités françaises. Seuls les membres du conseil d'administration prennent part à l'élection du président, alors qu'auparavant, les membres du conseil scien- tifique...