Even, and in fact chiefly, if two or more players in a voting game have on a binary issue independent opinions, they may have interest to form a single voting alliance giving an average gain of influence for all of them. Here, assuming the usual independence of votes, we first study the alliance...

Nous exploitons dans cet article la théeorie des indices de pouvoir pour éevaluer les infuences respectives des deux classes d’électeurs dans le mode de scrutin instauré par la loi électorale du 29 juin 1820, dite loi du \double vote". Nous montrons, à l’aide d’un modèle simplifié,...

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...

Preliminary versions of most of the papers in this special issue of Annals of Economics and Statistics were presented at the annual conference of the ADRES (Association pour le Développement de la Recherche en Economie et Statistiques). This conference, untitled ``New Developments in Social...

Nous exploitons dans cet article la théeorie des indices de pouvoir pour éevaluer les infuences respectives des deux classes d’électeurs dans le mode de scrutin instauré par la loi électorale du 29 juin 1820, dite loi du \double vote". Nous montrons, à l’aide d’un modèle simplifié,...

The main purpose of this paper is to estimate the probability of casting a decisive vote for a class or random electorate models encompassing the celebrated IC and IAC models. The emphasis is on the impact of correlation across votes on the order of magnitude of this event. Our proof techniques...